Publications

Books and Memoirs

Ruzhansky, M. Regularity theory of Fourier integral operators with complex phases and singularities of affine fibrations, CWI Tracts, vol. 131, 2001. Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 2001. vi+130 pp. download review Contents and introduction
Ruzhansky M., Smith J., Dispersive and Strichartz estimates for hyperbolic equations with constant coefficients, MSJ Memoirs, 22, Mathematical Society of Japan, Tokyo, 2010. x+147pp. slightly older version at arxiv; summary at World Scientific review
Ruzhansky M., Turunen V., Pseudo-differential Operators and Symmetries: Background Analysis and Advanced Topics, Birkhauser, Basel, 2010. 724pp. Contents, description and samples, this book and time-frequency analysis, summary at Birkhauser review Bookmetrix
Cruz-Uribe D., Fiorenza A., Ruzhansky M., Wirth J., Variable Lebesgue Spaces and Hyperbolic Systems, Advanced Courses in Mathematics – CRM Barcelona, Vol. 27, Birkhauser, 2014. Summary and link
Fischer V., Ruzhansky M., Quantization on nilpotent Lie groups, Progress in Mathematics, Vol. 314, Birkhauser, 2016. xiii+557pp. link, download (open access book, first by Imperial College London) Bookmetrix the winner of Ferran Sunyer I Balaguer Prize 2014
Ruzhansky M., Suragan D., Hardy inequalities on homogeneous groups: 100 years of Hardy inequalities, Progress in Mathematics, Vol. 327, Birkhauser, 2019. xvi+588pp. link, free download (open access book), poster, the winner of Ferran Sunyer I Balaguer Prize 2018
Ruzhansky M., Sadybekov M., Suragan D., Spectral geometry of partial differential operators, Monographs and Research Notes in Mathematics, Chapman and Hall/CRC Press, 2020. 378pp. link, free download (open access book), poster
NEW: Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. MSJ Memoirs, to appear, Mathematical Society of Japan, Tokyo. arxiv

Posters about two last books:

Hardy inequalities on homogeneous groups

Spectral geometry of partial differential operators — Hardy inequalities on homogeneous groups

Two books on pseudos on compact & graded Lie groups:

Books Edited

Ruzhansky M., Wirth J. (Eds.) Progress in Analysis and its Applications, Proceedings of the 7^th International ISAAC Congress, Imperial College London, UK, 13-18 July 2009, World Scientific, 2010. 668pp. summary
Ruzhansky M., Wirth J. (Eds.) Modern Aspects of the Theory of Partial Differential Equations, Operator Theory: Advances and Applications, Vol. 216, Birkhauser, Basel, 2011. 367pp. summary
Ruzhansky M., Sugimoto M., Wirth J. (Eds.) Evolution Equations of Hyperbolic and Schrodinger Type: Asymptotics, Estimates and Nonlinearities, Progress in Mathematics, Vol. 301, Birkhauser, 2012. 330pp. summary
Reissig M., Ruzhansky M. (Eds.) Progress in Partial Differential Equations: Asymptotic Profiles, Regularity and Well-Posedness, Springer Proceedings in Mathematics & Statistics, Vol. 44, Springer, 2013. 447pp. summary
Ruzhansky M., Turunen V. (Eds.) Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations, Trends in Mathematics, Birkhauser, 2014. 415pp. summary
Edited thematic issue: Damanik D., Ruzhansky M., Vougalter V., Wong M.W. (Eds) Spectral problems, Mathematical Modelling of Natural Phenomena, Vol. 9, No. 5, 2014. link
Mityushev V., Ruzhansky M. (Eds.) Analytic Methods in Interdisciplinary Applications, Springer Proceedings in Mathematics & Statistics, Vol. 116, Springer, 2015. 181pp. summary
Mityushev V., Ruzhansky M. (Eds.) Current Trends in Analysis and its Applications, Proceedings of the 9th ISAAC Congress, Krakow 2013, Trends in Mathematics, Research Perspectives, Birkhauser, 2015. 892pp. summary
Edited thematic issue: Berdyshev A., Kalimoldayev M., Ruzhansky M. (Eds.), Mathematical modelling in applied sciences, De Gruyter Open Topical Issue, Open Engineering 2016. link, preface
Ruzhansky M., Tikhonov S. (Eds.) Methods of Fourier Analysis and Approximation Theory, Applied and Numerical Harmonic Analysis, Birkhauser, 2016. 226pp. summary
Edited thematic issue: Ruzhansky M., Agarwal P., Area I., Karimov E. T. (Eds) Special functions and analysis of PDEs, Mathematical Modelling of Natural Phenomena, Vol. 12, No. 3, 2017. link, preface
Ruzhansky M., Cho Y., Agarwal P., Area I. (Eds.) Advances in Real and Complex Analysis with Applications, Trends in Mathematics, Birkhauser, 2017. viii+301pp. link
Kalmenov T., Nursultanov E., Ruzhansky M., Sadybekov M. (Eds.) Functional Analysis in Interdisciplinary Applications, Springer Proceedings in Mathematics & Statistics, Vol. 216, Springer, 2017. xxix+456pp. link
Agarwal R., Dutta H., Ruzhansky M. (Eds.) Mathematical Analysis and Applications: Selected Topics, Wiley, 2018. 768pp. link, doi link
Ruzhansky M., Dutta H. (Eds.) Advanced Topics in Mathematical Analysis, CRC Press, Taylor & Francis, 2018. 588pp. link
Developing countries: Delgado J., Ruzhansky M. (Eds.) Analysis and Partial Differential Equations: Perspectives from Developing Countries, Springer Proceedings in Mathematics & Statistics, Vol. 275, Springer, 2019. xii+269pp. link, doi link
Georgiev V., Ozawa T., Ruzhansky M., Wirth J. (Eds.) Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics, Birkhäuser, 2020. x+317pp. link, doi
Agarwal P., Agarwal R., Ruzhansky M. (Eds.) Special Functions and Analysis of Differential Equations, Chapman and Hall/CRC, 2020. 370pp. link
Ashyralyev A., Kalmenov T., Ruzhansky M., Sadybekov M., Suragan D. (Eds.) Functional Analysis in Interdisciplinary Applications II, Springer Proceedings in Mathematics & Statistics, Vol. 351, Springer, 2021. 294pp. link, doi
Hammouch Z., Dutta H., Melliani S., Ruzhansky M. (Eds.) Nonlinear Analysis: Problems, Applications and Computational Methods, Lecture Notes in Networks and Systems, Vol. 168, Springer, 2021. vi+249pp. link, doi
Edited thematic issue: Dutta H., Ruzhansky M., Tokmagambetov N. (Eds) Singularities in Evolution Equations, Chaos, Solitons & Fractals, Elsevier, 2021. link
Covid-19: Agarwal P., Nieto J., Ruzhansky M., Torres D. (Eds.) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact, Infosys Science Foundation Series in Mathematical Sciences, Springer, 2021. xxiv+627pp. link, doi
Ruzhansky M., Wirth J. (Eds.) Harmonic Analysis and Partial Differential Equations, Trends in Mathematics, Birkhäuser, 2023. x+239pp. link, doi
Cardona D., Restrepo J., Ruzhansky M. (Eds.) Extended Abstracts 2021/2022. Methusalem Lectures, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xi+268pp. link
Ruzhansky M., Torebek B. (Eds.) Extended Abstracts MWCAPDE 2023. Methusalem Workshop on Classical Analysis and Partial Differential Equations, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. xiv+235pp. link
Ruzhansky M., Van Bockstal K. (Eds.) Extended Abstracts 2021/2022. Ghent Analysis and PDE Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+311pp. link
Chatzakou M., Restrepo J., Ruzhansky M., Torebek B., Van Bockstal K. (Eds.) Modern Problems in PDEs and Applications. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. viii+190pp. link
NEW: Chatzakou M., Ruzhansky M., Stoeva D. (Eds.) Women in Analysis and PDE, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+310pp. link
NEW: Ashyralyev A., Ruzhansky M., Sadybekov M. (Eds.) Analysis and Applied Mathematics. Extended Abstracts of the 2022 Joint Seminar, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+220pp. link
NEW: Kumar V., Rottensteiner D., Ruzhansky M. (Eds.) Pseudo-Differential Operators and Related Topics. Extended Abstracts PSORT 2024, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+150pp. link

Publications

Altybay A., Ruzhansky M., Numerical approaches for identifying the time-dependent potential coefficient in the diffusion equation. arxiv
Chatzakou M., Kassymov A., Ruzhansky M., Fujita exponent for heat equation with Hörmander vector fields. arxiv
Aikyn Y., Ghosh S., Kumar V., Ruzhansky M., Spectral analysis, maximum principles and shape optimization for nonlinear superposition operators of mixed fractional order. arXiv
Gomez Cobos S., Ruzhansky M., Functional calculus for Safarov pseudo-differential operators. arxiv
Huang J., Wang H., Ruzhansky M., Semi-sparsity generalization for variational mesh denoising. arxiv
Pathak S., Ruzhansky M., Van Bockstal K., A closed-form approximation for impulse response of fractionally damped oscillators. arxiv
Rana T., Ruzhansky M., Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type. arxiv
Aikyn Y., Ghosh S., Kumar V., Ruzhansky M., Brezis-Nirenberg type problems associated with nonlinear superposition operators of mixed fractional order. arxiv
Wang X., Nomm S., Huang J., Medijainen K., Toomela A., Ruzhansky M., PointExplainer: Towards Transparent Parkinson’s Disease Diagnosis. arxiv
Akylzhanov R., Ruzhansky M., Tulenov K., Hormander-Mikhlin type theorem on non-commutative spaces. arxiv
Chatzakou M., Kahler U., Ruzhansky M., Zero modes and Dirac-(logarithmic) Sobolev-type inequalities. arxiv
Ruzhansky M., Yeskermessuly A., Singular Klein-Gordon equation on a bounded domain. arxiv
Hu G., Rottensteiner D., Ruzhansky M., Van Velthoven J., Besov and Triebel-Lizorkin spaces on homogeneous groups. arxiv
Avetisyan Zh., Khachatrsyan Kh., Ruzhansky M., Parabolic equations with concave non-linearity. arxiv
Gómez Cobos S., Restrepo J., Ruzhansky M., Evolutionary integro-differential equations of scalar type on locally compact groups. arxiv
Rana T., Ruzhansky M., Lp-Lq Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type. arxiv
Kumar V., Rana T., Ruzhansky M., Classical inequalities for all Fourier matrix coefficients of SL(2,ℝ) and their applications. arxiv
Ghosh S., Kumar V., Ruzhansky M., Subelliptic nonlocal Brezis-Nirenberg problems on stratified Lie groups. Comm. Contemp. Math., to appear. arxiv
Cardona D., Delgado J., Ruzhansky M., Nuclearity, Schatten-von Neumann classes, distribution of eigenvalues and Lp-Lq-boundedness of Fourier integral operators on compact manifolds. arxiv
Chatzakou M., Ruzhansky M., Yannakakis N., Nearness and solvability of non-invariant equations on stratified groups. arxiv
Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces. arxiv
Ruzhansky M., Shriwastawa A., Verma D., Bilinear Hardy inequalities on metric measure spaces. arxiv
Chatzakou M., Kassymov A., Ruzhansky M., On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups. arxiv
Akhymbek M., Ruzhansky M., Tulenov K., On geometric properties of lp-spaces on unitary duals of compact groups. arxiv
Cardona D., Kumar V., Ruzhansky M., Pseudo-differential operators on homogeneous vector bundles over compact homogeneous manifolds. arxiv
Kowacs A., Ruzhansky M., Vector valued Garding inequality for pseudo-differential operators on compact homogeneous manifolds. arxiv
Jleli M., Ruzhansky M., Samet B., Torebek B., Higher-order evolution inequalities with Hardy potential on the Koranyi ball. arxiv
Chatzakou M., Ruzhansky M., Shriwastawa A., Sharp upper bound for anisotropic Renyi entropy and Heisenberg uncertainty principle. arxiv
Cardona D., Ruzhansky M., The weak (1,1) boundedness of Fourier integral operators with complex phases. arxiv
Ruzhansky M., Sebih M., Yeskermessuly A., Wave equations for the fractional Sturm-Liouville operator with singular coefficients. arxiv
Huang J., Wang H., Weiermann A., Ruzhansky M., Optimal image transport on sparse dictionaries. arxiv
Kumar V., Ruzhansky M., Zhang H.-W., Stein-Weiss inequality on non-compact symmetric spaces. arxiv
Rana T., Ruzhansky M., Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane. Ann. Sc. Norm. Super. Pisa Cl. Sci., to appear. arxiv
Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group. arxiv
Huang J., Wang H., Ruzhansky M., Semi-sparsity priors for image structure analysis and extraction. arxiv
Avetisyan Z., Grigoryan M., Ruzhansky M., Elements (functions) that are universal with respect to a minimal system. arxiv
Federico S., Rottensteiner D., Ruzhansky M., Weyl calculus on graded groups. arxiv
Serikbayev D., Ruzhansky M., Tokmagambetov N., Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation. arxiv
Dasgupta A., Mondal S., Ruzhansky M., Tushir A., Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential. arxiv
Huang J., Wang H., Ruzhansky M., Semi-sparsity on piecewise constant function spaces for triangular mesh denoising. arxiv
Ruzhansky M., Sebih M. E., Tokmagambetov N., Heat equation with singular thermal conductivity. Rep. Math. Phys., to appear. arxiv
Kumar V., Ruzhansky M., Zhang H., Smoothing properties of dispersive equations on non-compact symmetric spaces. arxiv
Cardona D., Grajales B., Ruzhansky M. On the sharpness of Strichartz estimates and spectrum of compact Lie groups. arxiv
Cardona D., Chatzakou M., Delgado J., Ruzhansky M., Degenerate Schrödinger equations with irregular potentials. Anal. Appl., to appear. arxiv
Gómez Cobos S., Restrepo J. E., Ruzhansky M., Heat-wave-Schrödinger type equations on locally compact groups. arxiv
Wang X., Huang J., Chatzakou M., Medijainen K., Taba P., Toomela A., Nomm S., Ruzhansky M., A Light-weight CNN Model for Efficient Parkinson’s Disease Diagnostics. arxiv
Ruzhansky M., Shaimardan S., Tokmagambetov N., Some estimates for Mittag-Leffler function in quantum calculus and applications. arxiv
Chatzakou M.., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. arxiv
Cardona D., Chatzakou M., Ruzhansky M., Toft J., Schatten-von Neumann properties for Hörmander classes on compact Lie groups. Forum Math., to appear. arxiv
Shaimardan S., Karimov E., Ruzhansky M., Mamanazarov A., The Prabhakar fractional q-integral and q-differential operators, and their properties. arxiv
Karimov E., Ruzhansky M., Shaimardan S., Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional q-derivative. arxiv
Cardona D., Duduchava R., Hendrickx A., Ruzhansky M., Global pseudo-differential operators on the Lie group $G=(-1,1)^n$. arxiv
Cardona D., Ruzhansky M., Boundedness of oscillating singular integrals on Lie groups of polynomial growth. arxiv
Cardona D., Ruzhansky M., Oscillating singular integral operators on graded Lie groups revisited. J. Lie Theory, to appear. arxiv
Cardona D., Delgado J., Ruzhansky M., Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations. arxiv
Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Liouville theorems for Kirchhoff-type hypoelliptic partial differential equations and systems. I. Heisenberg group. arxiv
Kumar V., Ruzhansky M., Titchmarsh theorems, Hausdorff-Young-Paley inequality and Lp-Lq boundedness of Fourier multipliers on harmonic NA groups. arxiv
Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Hardy-Rellich inequalities on Lie groups. arxiv
Cardona D., Delgado J., Ruzhansky M., Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. arxiv
Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. arxiv
Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. MSJ Memoirs, to appear. arxiv
Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficients. arxiv
Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for Belgium. medRxiv, paper
Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
——————– published ——————–
Ruzhansky M., Shaimardan S., Tulenov K., Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications. J. Fourier Anal. Appl., 32 (2026), paper no. 7. doi, arxiv
Ghosh S., Kumar V., Ruzhansky M., Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. Calc. Var. Partial Differential Equations, 65 (2026), paper no 28. doi (open access), arxiv
Ruzhansky M., Shaimardan S., Tulenov K., Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces. Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Mat. RACSAM, 120 (2026), paper no. 8. doi, arxiv
Ruzhansky M., Shaimerdenov Y., Yessirkegenov N., Cylindrical extensions of critical Sobolev type inequalities and identities. J. Math. Anal. Appl., 554 (2026), paper no. 129899. doi, arxiv
Serikbaev D., Ruzhansky M., Tokmagambetov N., Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation. Fract. Calc. Appl. Anal., 28 (2025), 2918-2968. doi
Ruzhansky M., Yeskermessuly A., Heat equation for Sturm-Liouville operator with singular propagation and potential. J. Appl. Anal., 31 (2025), 311-328. doi, arxiv
Ruzhansky M., Shriwastawa A., Tiwari B., Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups. Ann. Fenn. Math., 50 (2025), 685-701. doi, arxiv
Cardona D., Delgado J., Kumar V., Ruzhansky M., Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups. Osaka J. Math., 62 (2025), 587-608. link, arxiv
Restrepo J., Ruzhansky M., Torebek B., Integro-differential diffusion equations on graded Lie groups. Asymptotic Anal., 144 (2025), 1065-1080. doi, arxiv
Ruzhansky M., Yimer M. F., Levin-Cochran-Lee inequalities and best constants on homogeneous groups. Aequationes Math., 99 (2025), 1603-1623. doi, arxiv
Dasgupta A., Ruzhansky M., Tushir A., Discrete time-dependent wave equations II. Semiclassical fractional Klein-Gordon equation. Aequationes Math., 99 (2025), 1491-1505. doi, arxiv
Cardona D., Chatzakou M., Delgado J., Kumar V., Ruzhansky M., Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations. J. Math. Phys., 66 (2025), paper no. 081509. doi, arxiv
Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. Proc. Edinburgh Math. Soc., 68 (2025), 825-842. doi, arxiv
Delgado J., Posada L., Ruzhansky M., Schatten-von Neumann classes of tensors of invariant operators. J. Pseudo-Differ. Oper. Appl., 16 (2025), paper no. 70. doi (open access), arxiv
Jleli M., Ruzhansky M., Samet B., Torebek B., Semilinear wave inequalities with double damping and potential terms on Riemannian manifolds. J. Geom. Anal., 35 (2025), paper no. 292. doi, arxiv
Ruzhansky M., Shaimardan S., Tulenov K., Sobolev inequality and its applications to nonlinear PDE on noncommutative Euclidean spaces. J. Funct. Anal., 289 (2025), paper no. 111143. doi, arxiv
Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., L^p–L^q boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. Ann. Funct. Anal., 16 (2025), no. 3, 50. doi (open access), arxiv
Ruzhansky M., Shaimardan S., Tulenov K., Fourier multipliers and their applications to PDE on the quantum Euclidean space. NoDEA Nonlinear Differential Equations Appl., 32 (2025), paper no. 85. doi
Cardona, Alexander; Ruzhansky, Michael; An Introduction to the Non-harmonic Analysis of Pseudo-Differential Operators. Geometry, Topology and Operator Algebras, 217-247, Math. Phys. Stud., Springer, Cham, 2025. doi
Kumar V., Mondal S., Ruzhansky M., Torebek B., Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case. J. Evol. Eq., 25 (2025), paper no. 58. doi, arxiv
Kassymov A., Ruzhansky M., Zaur G., On fractional inequalities on metric measure spaces with polar decomposition. Forum Math., 37 (2025), 1035-1048. doi, arxiv
Fisseha Yimer M.F., Persson L.-E., Ruzhansky M., Samko N., Ayele T. G., Hardy-Hilbert type inequalities on homogeneous groups – an introduction and generalization to the kernel case. Math. Ineq. Appl., 28 (2025), 239-255. doi, arxiv
Khompysh Kh., Ruzhansky M., Inverse source problems for time-fractional nonlinear pseudoparabolic equations with p-Laplacian. Fract. Calc. Appl. Anal., 28 (2025), 1353-1383. doi
Borikhanov M., Ruzhansky M., Torebek B., Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg group. Discrete Contin. Dyn. Syst. Ser. S, 18 (2025), 2127-2141. doi, arxiv
Cardona D., Kumar V., Ruzhansky M., Lp-Lq boundedness of pseudo-differential operators on graded Lie groups. New York J. Math., 31 (2025), 722-748. arxiv
Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. Adv. Oper. Theory, 10 (2025), 10:53. doi, arxiv
Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and temperate distributional data. Proc. A Royal Soc. Edinburgh, 155 (2025), 57-80. doi, arxiv
Gómez Cobos S., Ruzhansky M., Lp-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry. J. London Math. Soc., 111 (2025), paper e70145. doi, arxiv
Ruzhansky M., Zeng K., Schatten classes on noncommutative tori: Kernel conditions. Proc. Amer. Math. Soc., 153 (2025), 2467-2479. doi, arxiv
Ruzhansky M., Tulenov K., A note on Lp-Lq boundedness of Fourier multipliers on noncommutative spaces. Adv. Oper. Theory, 10 (2025), papper no. 48. doi, arxiv
Kumar M., Kumar V., Ruzhansky M., Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order. Int. J. Math., 36 (2025), Paper 2550001. doi, arxiv
Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. Hokkaido Math. J., 54 (2025), 1-51. doi, arxiv
Ruzhansky M., Yeskermessuly A., Schrödinger equation for Sturm-Liouville operator with singular propagation and potential. Z. Anal. Anwend., 44 (2025), 97-120. doi, arxiv
Dasgupta A., Ruzhansky M., Tushir A., Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group. Math. Meth. Appl. Sci., 48 (2025), 4904-4923. doi, arxiv
Borikhanov M., Ruzhansky M., Torebek B., The Fujita exponent for a semilinear heat equation with forcing term on the Heisenberg group. Math. Meth. Appl. Sci., 48 (2025), 3794-3810. doi, arxiv
Serikbayev D., Ruzhansky M., Tokmagambetov N., Heat source determining inverse problem for non-local in time equation. Math. Meth. Appl. Sci., 48 (2025), 1768-1791. doi, arxiv
Zhang R., Kumar V., Ruzhansky M., Liouville-type theorem for higher order Hardy-Hénon type systems on the sphere. J. Math. Anal. Appl., 543 (2025), Paper No 129029. doi
Ruzhansky M., Shaimardan S., Direct and inverse source problems for heat equation in quantum calculus. Filomat, 38 (2024), 8141-8156. doi, arxiv
Dasgupta A., Mondal Sh., Ruzhansky M., Tushir A., Time-fractional discrete diffusion equation for Schrodinger operator. Fract. Calc. Appl. Anal., 27 (2024), 3208-3239. doi, arxiv
Gómez Cobos S., Restrepo J., Ruzhansky M., Lp-Lq estimates for non-local heat and wave type equations on locally compact groups. C. R. Acad. Sci. Paris, 362 (2024), 1331-1337. doi, arxiv
Kowacs A., Ruzhansky M., Lieb-Thirring inequalities on the spheres and SO(3). Anal. Math. Phys., 14 (2024), Paper No 131. doi, arxiv
Cardona D., Duduchava R., Hendrickx, A., Ruzhansky, M., Generic Bessel potential spaces on Lie groups. Tbilisi Analysis and PDE Seminar, 43-54, Trends Math., 7, Res. Perspect. Ghent Anal. PDE Cent., 7, Birkhäuser/Springer, Cham, 2024. doi
Chatzakou M., Ruzhansky M., Revised logarithmic Sobolev inequalities of fractional order. Bull. Sci. Math., 197 (2024), Paper No 103530. doi, arxiv
Kumar V., Ruzhansky M., Zhang R., Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. Ann. Fenn. Math., 49 (2024). 561-582. doi, arxiv
Ghosh A., Ruzhansky M., Sparse bounds for oscillating multipliers on stratified groups. Monatsh. Math., 205 (2024), 511-529. doi, arxiv
Cardona D., Delgado J., Ruzhansky M., Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. J. Geom. Anal., 34 (2024), 12:374. doi (open access), arxiv
Kassymov A., Ruzhansky M., Suragan D., Fractional Hardy type inequalities on homogeneous Lie groups in the case Q<sp. Illinois J. Math., 68 (2024), 415-431. doi, arxiv
Ikromov I., Ruzhansky M., Safarov A., Oscillatory integrals for Mittag-Leffler functions with two variables. C. R. Acad. Sci. Paris, 362 (2024), 789-798. doi
Ruzhansky M., Sebih M., Tokmagambetov N., Fractional wave equation with irregular mass and dissipation. Z. Angew. Math. Phys., 75 (2024), no 5, Paper 184. doi, arxiv
Ruzhansky M., Shriwastawa A., Tiwari B., Hardy inequalities on metric measure spaces, IV: The case p=1. Forum Math., 36 (2024), 1603–1611. doi, arxiv
Cardona D., Delgado J., Ruzhansky M., Boundedness of the dyadic maximal function on graded Lie groups. Quart. J. Math., 75 (2024), 809–834. doi, arxiv
Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. I. Z. Anal. Anwend., 43 (2024), 349-376. doi (open access), arxiv
Zhang R., Kumar V., Ruzhansky M., A direct method of moving planes for logarithmic Schrödinger operator. Z. Anal. Anwend., 43 (2024), 287-297. doi (open access), arxiv
Cardona D., Delgado J., Ruzhansky M., Well-posedness for a class of pseudo-differential hyperbolic equations on the torus. Aequationes Math., 98 (2024), 1019-1038. doi (open access), arxiv
Botchway L., Chatzakou M., Ruzhansky M., Semi-classical pseudo-differential operators on ℏℤn and applications. J. Fourier Anal. Appl., 30 (2024), 4:41. doi (open access), arxiv
Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. Complex Var. Elliptic Equ., 69 (2024), 1049-1082. doi, arxiv
Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev-type inequalities on Lie groups. J. Geom. Anal., (2024) 34:275. doi (open access), arxiv
Dasgupta A., Kumar V., Mondal Sh., Ruzhansky M., Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order. J. Evol. Equ., 24 (2024), no. 3, paper No. 51. doi (open access), arxiv
Cardona D., Federico S., Ruzhansky M., Subelliptic sharp Gårding inequality on compact Lie groups. Pure Appl. Anal., 6 (2024), 455-485. doi, arxiv
Ruzhansky M., Yessirkegenov N., Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. J. Geom. Anal., 34, 223 (2024). doi (open access), arxiv
Kassymov A., Kumar V., Ruzhansky M., Functional inequalities on symmetric spaces of noncompact type and applications. J. Geom. Anal., 34, 208 (2024). doi (open access), arxiv
Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. Math. Z., 307 (2024), no. 2, paper no. 22. doi (open access), arxiv
Ghosh S., Kumar V., Ruzhansky M., Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. Math. Ann., 388 (2024), 4201-4249. doi (open access), arxiv
Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. Potential Analysis, 60 (2024), 965–1005. doi (open access), arxiv
Roychowdhury P., Ruzhansky M., Suragan D., Multidimensional Frank-Laptev-Weidl improvement of the Hardy inequality. Proc. Edinb. Math. Soc., 67 (2024), 151-167. doi, arxiv
Cardona D., Delgado J., Ruzhansky M., A note on the local Weyl formula on compact Lie groups. J. Lie Theory, 34 (2024), 237-248. link, arxiv
Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. J. Lie Theory, 34 (2024), 51-92. link, arxiv
Avetisyan Zh., Ruzhansky M., A note on the polar decomposition in metric spaces. J. Math. Sci., 280 (2024), 73-82. doi (open access), arxiv
Wang X., Huang J., Nomm S., Chatzakou M., Medijainen K., Toomela A., Ruzhansky M., LSTM-CNN: An efficient diagnostic network for Parkinson’s disease utilizing dynamic handwriting analysis. Computer Methods and Programs in Biomedicine, 247 (2024), 108066. doi, arxiv
Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. Nonlinear Anal., 242 (2024), 113500. doi, arxiv
De Moraes W. A. A., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, I. Compact Lie groups. Int. Math. Res. Not. IMRN, 2 (2024), 1299-1328. doi, arxiv
Chatzakou M., Kassymov A., Ruzhansky M., Anisotropic Shannon inequality. Osaka J. Math., 61 (2024), 79-89. link (open access), arxiv
Fino A., Ruzhansky M., Torebek B., Fujita-type results for the degenerate parabolic equations on the Heisenberg groups. NoDEA Nonlinear Differential Equations Appl., 31, 19 (2024). doi, arxiv
Abolarinwa A., Ruzhansky M., Generalised Hardy type and Rellich type inequalities on the Heisenberg group. J. Pseudo-Differ. Oper. Appl., 15 (2024), no 1., 3. doi, arxiv
Ruzhansky M., Shriwastawa A., Tiwari B., A note on best constants for weighted Hardy inequalities on homogeneous groups. Results Math., 79, 29 (2024). doi, arxiv
Kumar V., Restrepo J., Ruzhansky M., Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity. Results Math., 79, 22 (2024). doi, arxiv
Ruzhansky M., Shaimardan S., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular potentials. J. Math. Anal. Appl., 531 (2024), no. 1, Paper No. 127783. doi, arxiv
Wang X., Huang J., Chatzakou M., Nomm S., Valla E., Medijainen K., Taba P., Toomela A., Ruzhansky M., Comparison of one- two- and three-dimensional CNN models for drawing-test-based diagnostics of the Parkinson’s disease. Biomedical Signal Processing and Control, 87 (2024) 105436. doi, arxiv
Kassymov A., Ruzhansky M., Suragan D., Anisotropic fractional Gagliardo-Nirenberg, weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type inequalities, and applications to Riesz potentials and p-sub-Laplacian systems. Potential Analysis, 59 (2023), 1971-1994. doi (open access), arxiv
Zhang R., Kumar V., Ruzhansky M., Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian. Acta Appl. Math., 188 (2023), no 1, paper 16. doi, arxiv
Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. Fract. Calc. Appl. Anal., 26 (2023), 2720-2756. doi, arxiv
Cardona D., Delgado J., Grajales B., Ruzhansky M., Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria. Comm. Pure Appl. Anal., 22 (2023), 3295-3329. doi, arxiv
Kumar V., Ruzhansky M., Lp-Lq Multipliers on commutative hypergroups. J. Austral. Math. Soc., 115 (2023), 375-395. doi, arxiv
Ruzhansky M., Sebih M. E., Tokmagambetov N., Schrödinger equation with singular position dependent mass. Z. Anal. Anwend., 42 (2023), 131-144. doi, arxiv
Ruzhansky M., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential. Bull. Malays. Math. Sci. Soc., (2023) 46:195. doi, arxiv
Kassymov A., Ragusa M. A., Ruzhansky M, Suragan D., Stein-Weiss-Adams inequality on Morrey spaces. J. Funct. Anal., 285 (2023), no. 11, Paper No. 110152. doi, arxiv
Hong Q., Hu G., Ruzhansky M., Fourier multipliers for Hardy spaces on graded Lie groups. Proc. Royal Soc. Edinburgh, 153 (2023), 1729-1750. doi, arxiv
Ruzhansky M., Sabitbek B., Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. European J. Math., no. 3, 61. doi (open access), arxiv
Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Global functional calculus, lower/upper bounds and evolution equations on manifolds with boundary. Adv. Oper. Theory, (2023), 8:50. doi (open access), arxiv
Ruzhansky M., Sabitbek B., Torebek B., Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups. Manuscripta Math., 171 (2023), 377-395. doi (open access), arxiv
Huang J., Ruzhansky M., Zhang Q., Wang H., Intrinsic image transfer for illumination manipulation. IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 45, no. 6, pp. 7444-7456, 2023. doi, arxiv
Huang J., Wang H., Wang X., Ruzhansky M., Semi-sparsity for smoothing filters. IEEE Transactions on Image Processing, vol. 32, pp. 1627-1639, 2023. doi, arxiv
Rottensteiner D., Ruzhansky M., An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups. Arch. Math., 120 (2023), 507-520. doi, arxiv
Kassymov A., Ruzhansky M., Suragan D., Hardy inequalities on metric measure spaces, III: The case q<=p<0 and applications. Proc. R. Soc. A, 479 (2023), no. 2269, Paper No. 307, 16pp. doi (open access), arxiv
Kassymov A., Ruzhansky M., Torebek B., Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems. Mediterr. J. Math. (2023) 20:119. doi, arxiv
Kumar V., Ruzhansky M., L^p–L^q boundedness of (k, a)-Fourier multipliers with applications to nonlinear equations. Int. Math. Res. Not. IMRN, 2023, no. 2, 1073-1093. doi (open access), arxiv
Borikhanov M., Ruzhansky M., Torebek B., Qualitative properties of solutions to the nonlinear time-space fractional diffusion equation. Fract. Calc. Appl. Anal., 26 (2023), 111-146. doi, arxiv
Karimov E., Ruzhansky M., Toshtemirov B., Solvability of the boundary-value problem for a mixed equation involving hyper-Bessel fractional differential operator and bi-ordinal Hilfer fractional derivative. Math. Meth. Appl. Sci., 46 (2023), 54-70. doi, arxiv
Cardona D., Ruzhansky M., Oscillating singular integral operators on compact Lie groups revisited. Math. Z., 303:26 (2023). doi (open access), arxiv
Hasanov A., Ruzhansky M., Systems of differential equations of Gaussian hypergeometric functions in three variables and their linearly-independent solutions. Bull. Inst. Math. 5 (2022), 50-142. link
Ruzhansky M., Torebek B. T., Turmetov B. Kh., Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems. J. Integral Equations Appl., 34 (2022), 373-387. doi, arxiv
Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. II. Normal forms. Comm. Pure Appl. Anal., 21 (2022), 3919-3940. doi, arxiv
Cardona D., Ruzhansky M., Björk-Sjölin condition for strongly singular convolution operators on graded Lie groups. Math. Z., 302 (2022), 1957-1981. doi (open access), arxiv
Akylzhanov R., Kuznetsova Yu., Ruzhansky M., Zhang H., Norms of certain functions of a distinguished Laplacian on the ax+b groups. Math. Z., 302 (2022), 2327-2351. doi (open access), arxiv
Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. J. Math. Phys., 63 (2022), Paper No. 111509, 23pp. doi, arxiv
Cardona D., Delgado J., Ruzhansky M., Determinants and Plemelj-Smithies formulas. Monatsh. Math., 199 (2022), 459-482. doi (open access), arxiv
Cardona D., Delgado J., Ruzhansky M., Drift diffusion equations with fractional diffusion on compact Lie groups. J. Evol. Equ., 22:84 (2022). doi (open access), arxiv
Ruzhansky M., Yessirkegenov N., Critical Gagliardo-Nirenberg, Trudinger, Brezis-Gallouet-Wainger inequalities on graded groups and ground states. Commun. Contemp. Math., 24 (2022), 2150061. doi (open access), arxiv
Ruzhansky M., Safarov A. R., Khasanov G. A., Uniform estimates for oscillatory integrals with homogeneous polynomial phases of degree 4. Anal. Math. Phys., 12:130 (2022). doi (open access), arxiv
Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators II. General case. Bull. Sci. Math., 180 (2022), 103196. doi (open access), arxiv
Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups. Collect. Math., 73 (2022), 477-504. doi (open access), arxiv
Kassymov A., Ruzhansky M., Suragan D., Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groups. Forum Math., 34 (2022), 1147-1158. doi, arxiv
Cardona D., Ruzhansky M., Sharpness of Seeger-Sogge-Stein orders for the weak (1,1) boundedness of Fourier integral operators. Arch. Math., 119 (2022), 189-198. doi (open access), arxiv
Ruzhansky M., Serikbaev D., Tokmagambetov N., Torebek B., Direct and inverse problems for time-fractional pseudo-parabolic equations. Quaest. Math., 45 (2022), 1071-1089. doi, arxiv
Chatzakou M., Ruzhansky M., Tokmagambetov N., The heat equation with singular potentials. II: Hypoelliptic case. Acta Appl. Math., (2022), 179:2. doi (open access), arxiv
Bin-Saad M. G., Hasanov A., Ruzhansky M., Some properties relating to the Mittag–Leffler function of two variables. Integral Transform. Spec. Funct., 33 (2022), 400-418. doi
Kumar V., Ruzhansky M., Hardy-Littlewood inequality and L^p–L^q Fourier multipliers on compact hypergroups. J. Lie Theory, 32 (2022), 475-498. link, arxiv
Chatzakou M., Ruzhansky M., Tokmagambetov N., Fractional Klein-Gordon equation with singular mass. II: hypoelliptic case. Complex Var. Elliptic Equ., 67 (2022), 615-632. doi (open access), arxiv
Chatzakou M., Ruzhansky M., Tokmagambetov N., Fractional Schrödinger equations with singular potentials of higher order. II: Hypoelliptic case. Rep. Math. Phys., 89 (2022), 59-79. doi, arxiv
Dasgupta A., Ruzhansky M., Tushir A., Discrete time-dependent wave equations I. Semiclassical analysis. J. Differential Equations, 317 (2022), 89-120. doi, arxiv
Karimov E., Ruzhansky M., Tokmagambetov N., Cauchy type problems for fractional differential equations. Integral Transforms Spec. Funct., 33 (2022), 47-64. doi, arxiv
Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spaces. Ann. Fenn. Math., 47 (2022), 39-55. doi, arxiv
Ruzhansky M., Yessirkegenov N., Existence and non-existence of global solutions for semilinear heat equations and inequalities on sub-Riemannian manifolds, and Fujita exponent on unimodular Lie groups. J. Differential Equations, 308 (2022), 455-473. doi (open access), arxiv
Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature. J. Math. Anal. Appl., 507 (2022), 125795. doi (open access), arxiv
Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groups. Nonlinear Analysis, 215 (2022), Paper No. 112621. doi (open access), arxiv
Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. J. Convex Anal., 28 (2021), 927-938. paper, arxiv
Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classes. Z. Anal. Anwend., 40 (2021), 425-451. doi, arxiv
Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. Math. Nachr., 294 (2021), 1783-1820. doi, arxiv
Avetisyan Zh., Grigoryan M., Ruzhansky M., Approximations in L¹with convergent Fourier series. Math. Z., 299 (2021), 1907-1927. doi (open access), arxiv
Cardona D., Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on graded Lie groups. J. Geom. Anal., 31 (2021), 11603-11647. doi, arxiv
Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operators. J. Math. Pures Appl., 154 (2021), 1-29. doi (open access), arxiv
Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. J. Math. Pures Appl., 153 (2021), 1-29. doi (open access), arxiv
Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. II. α-directions. Bull. Sci. Math., 171 (2021), 103016, 23pp. doi (open access), arxiv
Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, II: The case p>q. Proc. R. Soc. A, 477 (2021), 20210136, 16pp. doi (open access), arxiv
Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, Colloq. Math., 165 (2021), 1-30. doi, arxiv, free online first
Kirilov A., De Moraes W., Ruzhansky M., Global hypoellipticity and global solvability for vector fields on compact Lie groups. J. Funct. Anal., 280 (2021), 108806. 39pp. doi, arxiv
Restrepo J., Ruzhansky M., Suragan D., Explicit solutions for linear variable-coefficient fractional differential equations with respect to functions. Appl. Math. Comput., 403 (2021), 126177. doi, arxiv
Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. J. Fourier Anal. Appl., 27:15 (2021), 29pp. doi, arxiv
Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces. Math. Nachr., 294 (2021), 265-285. doi, arxiv
Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, Acta Appl. Math., 171 (2021), 21. 24pp. doi (open access), arxiv
Ruzhansky M., Sabitbek B., Suragan D., Principal frequency of p-sub-Laplacians for general vector fields. Z. Anal. Anwend., 40 (2021), 97-109. doi, arxiv
Kumar V., Ruzhansky M., A note on K-functional, modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spaces. J. Approx. Theory, 264 (2021), 105537. doi, arxiv
Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Fractional Schrödinger equations with singular potentials of higher-order. Rep. Math. Phys., 87 (2021), 129-144. doi, arxiv
Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., The heat equation with strongly singular potentials. Appl. Math. Comput., 399 (2021), 126006. doi, arxiv
Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Fractional Klein-Gordon equation with singular mass. Chaos, Solitons and Fractals, 143 (2021), 110579. doi, arxiv
Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivatives. Banach J. Math. Anal., 15 (2021), no. 1, 6. arxiv, doi
Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, 10 (2020), 1361-1411. doi, arxiv
Ruzhansky M., Torebek B., Multidimensional van der Corput-type estimates involving Mittag-Leffler functions. Fract. Calc. Appl. Anal. 23 (2020), 1663-1677. doi
Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650. link, arxiv
Altybay A., Ruzhansky M., Tokmagambetov N., A parallel hybrid implementation of the 2D acoustic wave equation. Int. J. Nonlinear Sci. Numer. Simul., 21 (2020), 821-827. arxiv, link
Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, 358 (2020), 609-615. arxiv, doi
Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation, Hokkaido Math. J., 49 (2020), 349–361. link, arxiv, doi
Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. Sci., 10 (2020), no. 3, 2050016, 17pp. doi, arxiv
Ruzhansky M., Tokmagambetov N., Yessirkegenov N., Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations, Calc. Var. Partial Differential Equations, 59 (2020), no. 5, paper no. 175, 23pp. doi (open access), arxiv
Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domains. Ann. Funct. Anal., 11 (2020), 1042-1061. link (open access), arxiv
Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum, 101 (2020), 162-191. link (open access), arxiv
Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. Anal. Math. Phys., 10 (2020), no. 3, 33, 20pp. arxiv, link
Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, Potential Analysis, 53 (2020), 645-658. arxiv, link
Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zⁿ, J. Funct. Anal., 278 (2020), no. 11, 108473, 41pp. link (open access), arxiv
Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, II: microlocal analysis. J. Differential Equations, 269 (2020), 7881-7905. arxiv, link (open access)
Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-Laplacians, Banach J. Math. Anal., 14 (2020), 380-398. link, arxiv
Ruzhansky M., Tokmagambetov N., Torebek B., On a non-local problem for a multi-term fractional diffusion-wave equation. Fract. Calc. Appl. Anal., 23 (2020), 324-355. link, arxiv
Ruzhansky M., Hasanov A., Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth order, Lobachevskii J. Math., 41 (2020), 1103-1114. link, arxiv
Hasanov A., Ruzhansky M., Hypergeometric expansions of solutions of the degenerate model parabolic equations of the third order, Lobachevskii J. Math., 41 (2020), 27-31. link
Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groups. Bull. Sci. Math., 160 (2020), 102853. link, arxiv
Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. link, arxiv
Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing functions, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), 103-130. arxiv, link (open access)
Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088. link (open access), arxiv
Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access), arxiv
Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groups. NoDEA Nonlinear Differential Equations Appl., 27 (2020), no. 1, Paper No. 7. link
Ruzhansky M., Tokmagambetov N., Torebek B., Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group, Integral Transforms and Special Functions, 31 (2020), 1-9. link (open access)
Mamaeva S.N., Kononova I.V., Ruzhansky M., Nikiforov P.V., Nikolaevа N.A., Pavlov A.N., Fedorova N.F., Huang J., Semenova M.N., Barashkova D.V., Frolova L.S., Maksimov G.V., Using Scanning Electron Microscopy and Atomic Force Microscopy to Study the Formation of Nanoparticles on Red Blood Cell Surface in Cervical Cancer Patients, International Journal of Biomedicine, 10(1): 70-75, 2020. link (open access)
Ruzhansky M., Tokmagambetov N., Torebek B., Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations. Journal of Inverse and Ill-Posed Problems, 27 (2019), 891-911. link, arxiv
Ruzhansky M., Hasanov A., Euler-type integral representations for hypergeometric functions of three second-order variables. Bulletin of the Institute of Mathematics, 6 (2019), 73-223. link
Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulations. Appl. Math. E-Notes, 19 (2019), 552-562. free download
Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., 125 (2019), 239-269. link,arxiv
Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci., 95 (2019), 83-87. link
Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548. arxiv, link
Munoz J. C., Ruzhansky M., Tokmagambetov N., Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., 53 (2019), 153-156. link, view paper
Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174. link (download), arxiv
Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link
Huang J., Ruzhansky M., Feng H., Zheng L., Huang X., Wang H., Feature extraction for license plate location based on L₀-norm smoothing. Open Comput. Sci. 2019; 9:28-135. link (open access)
Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655. link, arxiv
Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49. arxiv, link (open access)
Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478. link, arxiv
Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468. link, arxiv, paper
Delgado J., Ruzhansky M., L^p-bounds for pseudo-differential operators on compact Lie groups. J. Inst. Math. Jussieu, 18 (2019), 531–559. offprint (open access), arxiv, link
Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields, NoDEA Nonlinear Differential Equations Appl., 26 (2019), no. 2, 26:13. link, arxiv
Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp. link
Ozawa T., Ruzhansky M., Suragan D., L^p-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318. arxiv, link, offprint (open access),
Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, Proc. R. Soc. A, 475 (2019), 20180310, 15pp. offprint, arxiv, link
Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian, Appl. Comput. Math., 18 (2019), 69-78. arxiv
Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl., 123 (2019), 127-147. offprint (open access), arxiv, link
Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904. arxiv, link
Ruzhansky M., Sugimoto M., Global regularity properties for a class of Fourier integral operators, arxiv. The method has been substantially revised and extended to a much more general setting: arxiv, link
Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2019. link
Ruzhansky M., Sabitbek B., Suragan D., Weighted L^p-Hardy and L^p-Rellich inequalities with boundary terms on stratified Lie groups, Rev. Mat. Complutense, 32 (2019), 19-35. enhanced pdf (open access), arxiv, link
Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349. arxiv , link
Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posedness, Math. Ann., 372 (2018), 1597–1629. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., A note on stability of Hardy inequalities, Ann. Funct. Anal., 9 (2018), 451-462. arxiv, link
Ruzhansky M., Suragan D., A comparison principle for nonlinear heat Rockland operators on graded groups, Bull. Lond. Math. Soc., 50 (2018), 753-758. enhanced pdf (open access), arxiv, link
Ruzhansky M., Tokmagambetov N., Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups. J. Differential Equations, 265 (2018), 5212-5236. offprint (open access), arxiv, link
Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groups, Comm. Math. Phys., 362 (2018), 761-799. offprint (open access), link, arxiv
Ruzhansky M., Tokmagambetov N., Convolution, Fourier analysis, and distributions generated by Riesz bases, Monatsh. Math., 187 (2018), 147-170. offprint (open access), arxiv, link
Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access), arxiv, link
Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations, Trans. Amer. Math. Soc. Ser. B., 5 (2018), 81-101.offprint (open access), link, arxiv
Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., 52 (2018), 158-161. link(eng), link (rus)
Ruzhansky M., Tokmagambetov N., On a very weak solution of the wave equation for a Hamiltonian in a singular electromagnetic field, Math. Notes, 103 (2018), 856-858. link(rus), link(eng)
Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces, Fract. Calc. Appl. Anal., 21 (2018), 577-612. arxiv, link
Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities, and remainders, stability and superweights for Lp-weighted Hardy inequalities, Trans. Amer. Math. Soc. Ser. B, 5 (2018), 32-62. offprint (open access), link, arxiv
Delgado J., Ruzhansky M., The bounded approximation property of variable Lebesgue spaces and nuclearity, Math. Scand., 122 (2018), 299-319. link, arxiv
Ruzhansky M., Suragan D., Yessirkegenov N., Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groups, Integral Equations Operator Theory, 90 (2018), no. 1, 90:10. enhanced pdf (open access), arxiv,link
Delgado J., Ruzhansky M., Fourier multipliers in Hilbert spaces, in Integral Fourier Operators: Proceedings of a Summer School, Ouagadougou 14–25 September 2015 / Sylvie Paycha; Pierre Clavier (eds.). – Potsdam: Universitätsverlag Potsdam, 2018. link, arxiv, full volume
Altybay A., Ruzhansky M.,Tokmagambetov N., On numerical simulations of the 1D wave equation with a distributional coefficient and a source term, International Journal of Mathematics and Physics, 28 (2017), 28-32. paper, link
Mantoiu M., Ruzhansky M., Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groups, Doc. Math., 22 (2017), 1539-1592. offprint (open access), link, arxiv
Ruzhansky M., Tokmagambetov N., Wave equation for operators with discrete spectrum and irregular propagation speed, Arch. Ration. Mech. Anal., 226 (2017), 1161-1207. offprint (open access), arxiv, link
Fischer V., Ruzhansky M., Sobolev spaces on graded groups, Ann. Inst. Fourier (Grenoble), 67 (2017), 1671-1723. offprint (open access), arxiv, link
Delgado J., Ruzhansky M., Schatten classes and traces on compact groups, Math. Res. Lett., 24 (2017), 979-1003. arxiv, link
Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access), arxiv, link
Akylzhanov R., Ruzhansky M., Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses, Eurasian Math. J., 8 (2017), 10-27. download, arxiv
Kanguzhin B., Ruzhansky M., Tokmagambetov N., On convolutions in Hilbert spaces, Funct. Anal. Appl., 51 (2017), 221-224. link (eng) link (rus)
Garetto C., Ruzhansky M., On C^∞ well-posedness of hyperbolic systems with multiplicities, Ann. Mat. Pura Appl., 196 (2017), 1819-1834. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Anisotropic L²-weighted Hardy and L²-Caffarelli-Kohn-Nirenberg inequalities, Commun. Contemp. Math., 19 (2017), no. 6, 1750014, 12pp. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Yessirkegenov N., Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups, NoDEA Nonlinear Differential Equations Appl, 24 (2017), no. 5, 24:56. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Geometric maximizers of Schatten norms of some convolution type integral operators, J. Math. Anal. Appl., 456 (2017), 444-456. arXiv, link
Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for L^p-weighted Hardy inequalities, C. R. Acad. Sci. Paris, 355 (2017), 694-698. offprint (open access), link
Ruzhansky M., Suragan D., Uncertainty relations on nilpotent Lie groups, Proc. R. Soc. A, 473 (2017), no. 2201, 20170082, 12pp. offprint (open access), arxiv, link
Matsuyama T., Ruzhansky M., Almost global well-posedness of Kirchhoff equation with Gevrey data, C. R. Acad. Sci. Paris, 355 (2017), 522-525. offprint (open access), link
Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary, J. Math. Pures Appl.,107 (2017), 758-783. offprint (open access), arxiv, link
Agarwal P., Karimov E., Mamchuev M., Ruzhansky M., On boundary-value problems for a partial differential equation with Caputo and Bessel operators, in Recent applications of harmonic analysis to function spaces, differential equations, and data science, 707-718, Appl. Numer. Harmon. Anal., Birkhauser/Springer, 2017. arxiv, link
Ruzhansky M., Suragan D., Isoperimetric inequalities for some integral operators arising in potential theory, in Functional Analysis in Interdisciplinary Applications. FAIA 2017, 320-329, Springer Proceedings in Mathematics & Statistics, vol 216, Springer, 2017. arxiv, link
Ruzhansky M., Suragan D., Local Hardy and Rellich inequalities for sums of squares of vector fields, Adv. Diff. Equations, 22 (2017), 505-540. arxiv, link
Matsuyama T., Ruzhansky M., The Kirchhoff equation with Gevrey data, in: Dang P., Ku M., Qian T., Rodino L. (eds), New Trends in Analysis and Interdisciplinary Applications. pp. 313-318, Trends in Mathematics. Birkhauser, 2017. link
Cardona D., Ruzhansky M., Multipliers for Besov spaces on graded Lie groups, C. R. Acad. Sci. Paris, 355 (2017), 400-405. offprint (open access), link
Garofalo N., Ruzhansky M., Suragan D., On Green functions for Dirichlet sub-Laplacians on H-type groups, J. Math. Anal. Appl., 452 (2017), 896-905. offprint (open access), link, arxiv
Ruzhansky M., Tokmagambetov N., Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field, Lett. Math. Phys., 107 (2017), 591-618. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., Layer potentials, Green formulae, Kac problem, and refined Hardy inequality on homogeneous Carnot groups, Adv. Math., 308 (2017), 483-528. offprint (open access), arxiv, link
Garetto C., Ruzhansky M., On hyperbolic systems with time dependent Holder characteristics, Ann. Mat. Pura Appl., 196 (2017), 155-164. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups, J. Differential Equations, 262 (2017), 1799-1821. offprint (open access), arxiv, link
Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom., 12 (2017), 115-140. arxiv, link
Delgado J., Ruzhansky M., Wang B., Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces, J. Spectr. Theory, 6 (2016), 781-791. arxiv, link
Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Trans. Amer. Math. Soc., 368 (2016), 8481-8498. arxiv, link
Delgado J., Ruzhansky M., Wang B., Approximation property and nuclearity on mixed-norm Lp, modulation and Wiener amalgam spaces, J. Lond. Math. Soc., 94 (2016), 391-408. offprint (open access), arxiv, link
Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds, Ann. Sc. Norm. Super. Pisa Cl. Sci., 16 (2016), 981-1017. arxiv, link
Ruzhansky M., Agarwal P., Area I., Karimov E. T., Preface for the special issue on “Special functions and analysis of PDEs”. Math. Model. Nat. Phenom., 12 (2017), 1-3. link
Ruzhansky M., Tikhonov S., Some problems in Fourier analysis and approximation theory. Methods of Fourier analysis and approximation theory, 1-19, Appl. Numer. Harmon. Anal., Birkhauser/Springer, 2016. link
Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood inequalities and Fourier multipliers on SU(2), Studia Math., 234 (2016), 1-29. offprint, arxiv, link
Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood-Paley type inequalities on compact Lie groups, Math. Notes, 100 (2016), 287-290. link1, link2
Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access), arxiv, link
Akylzhanov R., Ruzhansky M., Fourier multipliers and group von Neumann algebras, C. R. Acad. Sci. Paris, 354 (2016), 766-770. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., On first and second eigenvalues of Riesz transforms in spherical and hyperbolic geometries, Bull. Math. Sci., 6 (2016), 325-334. offprint (open access), arxiv, link
Ruzhansky M., Sugimoto M., Smoothing estimates for non-dispersive equations. Math. Ann., 365 (2016), 241-269. offprint (open access), arxiv, link
Rozenblum G., Ruzhansky M., Suragan D., Isoperimetric inequalities for Schatten norms of Riesz potentials, J. Funct. Anal., 271 (2016), 224-239. offprint (open access), arxiv, link
Dasgupta A., Ruzhansky M., Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups, J. Anal. Math., 128 (2016), 179-190. offprint (open access), arxiv, link
Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158. link
Ruzhansky M., Suragan D., On Kac principle of not feeling the boundary for the Kohn Laplacian on the Heisenberg group, Proc. Amer. Math. Soc., 144 (2016), 709-721. arxiv, link
Ruzhansky M., Wang B., Zhang H., Global well-posedness and scattering for the fourth order nonlinear Schrodinger equations with small data in modulation and Sobolev spaces, J. Math. Pures Appl., 105 (2016), 31-65. link
Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl., 434 (2016), 1676-1689. offprint (open access), arxiv, link
Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and functional classes on compact Lie groups, Funct. Anal. Appl., 49 (2015), 226-229. arxiv, link
Ruzhansky M., Wirth J., Lp Fourier multipliers on compact Lie groups, Math. Z., 280 (2015), 621-642. offprint (open access), arxiv, link
Garetto C., Ruzhansky M., Hyperbolic second order equations with non-regular time dependent coefficients, Arch. Ration. Mech. Anal., 217 (2015), 113-154. offprint (open access), arxiv, link
Garetto C., Ruzhansky M., Wave equation for sums of squares on compact Lie groups, J. Differential Equations, 258 (2015), 4324-4347. offprint (open access), arxiv, link
Ruzhansky M., Sugimoto M., On global inversion of homogeneous maps, Bull. Math. Sci., 5 (2015), 13-18. offprint (open access), arxiv, link
Ruzhansky M., Sugimoto M., Trace theorems: critical cases and best constants, Proc. Amer. Math. Soc., 143 (2015), 227-237. arxiv, link
Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes and nuclearity of boundary value problems, only on arxiv(extended to manifolds with boundary here)
Matsuyama T., Ruzhansky M., Global well-posedness of the Kirchhoff equation and Kirchhoff systems, in Analytic Methods in Interdisciplinary Applications, pp. 81-96, Springer Proceedings in Mathematics & Statistics, Vol. 116, 2015. arxiv, link
Ruzhansky M., Wirth J., Asymptotic behaviour of solutions to hyperbolic partial differential equations, Variable Lebesgue spaces and hyperbolic systems, 91-169, Adv. Courses Math. CRM Barcelona, Birkhauser/Springer, Basel, 2014. arxiv, link
Delgado J., Ruzhansky M., Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds, C. R. Acad. Sci. Paris, Ser. I 352 (2014), 779-784. offprint (open access), arxiv, link
Dasgupta A., Ruzhansky M., Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Bull. Sci. Math., 138 (2014), 756-782. offprint (open access), arxiv, link
Delgado J., Ruzhansky M., Schatten classes on compact manifolds: Kernel conditions, J. Funct. Anal., 267 (2014), 772-798. offprint (open access), arxiv, link
Delgado J., Ruzhansky M., Lp-Nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups, J. Math. Pures Appl., 102 (2014), 153-172. offprint (open access), arxiv, link
Ruzhansky M., Wirth J., Global functional calculus for operators on compact Lie groups, J. Funct. Anal., 267 (2014), 144-172. arxiv, link
Ruzhansky M., Turunen V., Wirth J., Hörmander class of pseudo-differential operators on compact Lie groups and global hypoellipticity, J. Fourier Anal. Appl., 20 (2014), 476-499. offprint (open access), arxiv, link
Fischer V., Ruzhansky M., A pseudo-differential calculus on the Heisenberg group, C. R. Acad. Sci. Paris, Ser I, 352 (2014), 197-204. offprint (open access), arxiv, link
Coriasco S., Ruzhansky M., Global L^p continuity of Fourier integral operators, Trans. Amer. Math. Soc., 366 (2014), 2575-2596. arxiv, link
Fischer V., Ruzhansky M., A pseudo-differential calculus on graded nilpotent Lie groups, in Fourier Analysis, pp. 107-132, Trends in Mathematics, Birkhauser, 2014. arxiv, link
Garetto C., Ruzhansky M., On weakly hyperbolic equations with analytic principal part, J. Math. Anal. Appl., 412 (2014), 1-14. offprint (open access), arxiv, link
Garetto C., Ruzhansky M., Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Math. Ann., 357(2013), 401-440. offprint (open access), arxiv, link
Matsuyama T., Ruzhansky M., Global well-posedness of Kirchhoff systems, J. Math. Pures Appl., 100 (2013), 220-240. arxiv, link
Matsuyama T., Ruzhansky M., Scattering for strictly hyperbolic systems with time-dependent coefficients, Math. Nachr., 286 (2013), 1191-1207. offprint (open access), arxiv, link
Gramchev T., Ruzhansky M. Cauchy problem for some 2×2 hyperbolic systems of pseudo-differential equations with nondiagonalisable principal part. Studies in phase space analysis with applications to PDEs, 129-145, Progr. Nonlinear Differential Equations Appl., 84, Birkhauser/Springer, New York, 2013. link
Ruzhansky M., An open problem in complex analytic geometry arising in harmonic analysis, Math. Model. Nat. Phenom., 8 (2013), 230-236. arxiv, link
Ruzhansky M., Wirth J., On multipliers on compact Lie groups, Funct. Anal. Appl., 47 (2013), 72-75.arxiv, link
Ruzhansky M., Sugimoto M., Recent progress in smoothing estimates for evolution equations, in Progress in Partial Differential Equations, pp. 287-302, Springer Proceedings in Mathematics & Statistics, Vol. 44, 2013.arxiv, link
Fischer V., Ruzhansky M., Lower bounds for operators on graded Lie groups, C. R. Acad. Sci. Paris, Ser I, 351 (2013), 13-18. arxiv, link
Ruzhansky M., Turunen V., Global quantization of pseudo-differential operators on compact Lie groups, SU(2) and 3-sphere, Int. Math. Res. Not. IMRN 2013, no. 11, 2439-2496. arxiv, link
Ruzhansky M., Sugimoto M., Structural resolvent estimates and derivative nonlinear Schrodinger equations, Comm. Math. Phys., 314 (2012), 281-304. arxiv, link
Garetto C., Ruzhansky M., On the well-posedness of weakly hyperbolic equations with time dependent coefficients, J. Differential Equations, 253 (2012), 1317-1340. arxiv, link
Ruzhansky M., Sugimoto M., Smoothing properties of inhomogeneous equations via canonical transforms, Rend. Sem. Mat. Univ. Politec. Torino, 70 (2012), 165-182. paper, arxiv, link
Ruzhansky M., Sugimoto M., Wang B., Modulation spaces and nonlinear evolution equations, in Evolution Equations of Hyperbolic and Schrodinger Type, 267-283, Progress in Mathematics, Vol. 301, Birkhauser, 2012. arxiv, link
Ruzhansky M., Multidimensional decay in van der Corput lemma, Studia Math., 208 (2012), 1-10. arxiv, link
Ruzhansky M., Sugimoto M. Smoothing estimates of evolution equations via canonical transforms and comparison, Proc. London Math. Soc., 105 (2012), 393-423. older version on arxiv, link
Ruzhansky M., Sugimoto M., Toft J., Tomita N., Changes of variables in modulation and Wiener amalgam spaces, Math. Nachr., 284 (2011), 2078-2092. arxiv, link
Ruzhansky M., Wirth J., Dispersive type estimates for Fourier integrals and applications to hyperbolic systems, Disc. Cont. Dyn. Systems, Suppl. (2011), 1263-1270. arxiv, paper
Ruzhansky M., Turunen V., Sharp Garding inequality on compact Lie groups, J. Funct. Anal., 260 (2011), 2881-2901.arxiv, link
Ruzhansky M., Wirth J., Dispersive estimates for hyperbolic systems with time-dependent coefficients, J. Differential Equations, 251 (2011), 941-969. arxiv, link
Ruzhansky M., Sugimoto M., Weighted Sobolev L² estimates for a class of Fourier integral operators, Math. Nachr., 284 (2011), 1715-1738.arxiv, link
Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982. arxiv, link
Coriasco S., Ruzhansky M., On the boundedness of Fourier integral operators on L^p (Rⁿ ), C. R. Acad. Sci. Paris, Ser I. 348 (2010), 847-851. link
Ruzhansky M., Sugimoto M., Criteria for Bochners extension problem, Asymptotic Analysis, 66 (2010), 125-138.arxiv, link
Matsuyama T., Ruzhansky M. Asymptotic integration and dispersion for hyperbolic equations, Adv. Diff. Equations, 15 (2010), 721-756. arxiv
Ruzhansky M., Sugimoto, M., On the smoothing properties of dispersive partial differential equations. Harmonic analysis and nonlinear partial differential equations, 103-123, RIMS Kokyuroku Bessatsu B14, Res. Inst. Math. Sci. (RIMS), Kyoto, 2009. offprint, link
Ruzhansky M., Turunen V., On the toroidal quantization of periodic pseudo-differential operators, Numerical Functional Analysis and Optimization, 30 (2009), 1098-1124.offprint, link
Ruzhansky M. Pointwise van der Corput lemma for functions of several variables, Funct. Anal. Appl., 43 (2009), 75-77. link
Matsuyama T., Ruzhansky M., Time decay for hyperbolic equations with homogeneous symbols, C. R. Acad. Sci. Paris, Ser I. 347 (2009), 915-919. link
Ruzhansky M., Turunen V., On pseudo-differential operators on group SU(2), New developments in pseudo-differential operators, 307-322, Oper. Theory Adv. Appl., 189, Birkhauser, Basel, 2009. arxiv, link
Ruzhansky M., On local and global regularity of Fourier integral operators, New developments in pseudo-differential operators, 185-200, Oper. Theory Adv. Appl., 189, Birkhauser, Basel, 2009. arxiv, link
Ruzhansky M., Sugimoto M., Comparison of estimates for dispersive equations, Begehr, H. G. W. (ed.) et al., Further progress in analysis. Proceedings of the 6th international ISAAC congress, Ankara, Turkey, August 13-18, 2007. Hackensack, NJ: World Scientific. 486-494 (2009). arxiv, link
Ruzhansky M., Wirth J., Dispersive estimates for T-dependent hyperbolic systems, Rend. Sem. Mat. Univ. Pol. Torino, 66 (2008), 339-349. offprint, link. corrigendum: 68 (2010), 93.
Ruzhansky M. Microlocal time decays for hyperbolic equations with lower order terms, Novi Sad J. Math, 38 (2008), 15-26.paper
Ruzhansky M. On Strichartz estimates for hyperbolic equations with constant coefficients, RIMS Kokyuroku Bessatsu B10, 177-189 (2008). offprint, link
Ruzhansky, M. On some questions in complex analysis related to the theory of hyperbolic PDEs. Complex analysis and its applications, 313-315, OCAMI Stud., 2, Osaka Munic. Univ. Press, Osaka, 2007.
Matsuyama T., Ruzhansky M. Dispersion and asymptotic profiles for Kirchhoff equations, Topics in contemporary differential geometry, complex analysis and mathematical physics. 234-243, World Sci. Publ., Hackensack, NJ, 2007. arxiv, link
Kamotski, I., Ruzhansky, M. Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities, Comm. Partial Differential Equations, 32 (2007), 1-35. link
Ruzhansky, M., Turunen, V. On the Fourier analysis of operators on the torus, Modern trends in pseudo-differential operators, 87-105, Oper. Theory Adv. Appl., 172, Birkhauser, Basel, 2007. arxiv, link
Ruzhansky, M. On some properties of Galerkin approximations of solutions to Fokker-Planck equations, in Proceedings of the 4^thInternational Conference Analytical Methods in Analysis and Differential Equations (AMADE-2006), Vol.3, Differential Equations, Minsk: Institute of Mathematics of NAS of Belarus, 133-139, 2006.
Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations in the critical case, Math. Ann., 335 (2006), 645-673. link
Ruzhansky, M., Sugimoto, M. Global L2 boundedness theorems for a class of Fourier integral operators, Comm. Partial Differential Equations, 31 (2006), 547-569. offprint, link
Ruzhansky, M., Sugimoto, M. Global boundedness theorems for Fourier integral operators associated with canonical transformations, Harmonic analysis and its applications, 65-75, Yokohama Publ., Yokohama, 2006.
Ruzhansky, M., Sugimoto, M. Global calculus of Fourier integral operators, weighted estimates, and applications to global analysis of hyperbolic equations, 65-78, Oper. Theory Adv. Appl., 164, 2006. link
Kamotski, I., Ruzhansky, M. Representation of solutions and regularity properties for weakly hyperbolic systems, 53-63, Oper. Theory Adv. Appl., 164, 2006. link
Ruzhansky, M., Smith, J. Global time estimates for solutions to equations of dissipative types, Journees “Equations aux Derivees Partielles, Exp. No. XII, 29 pp., Ecole Polytech., Palaiseau, 2005. paper
Kamotski, I., Ruzhansky, M. Estimates and spectral asymptotics for systems with multiplicities, Funct. Anal. Appl., 39 (2005), 308-310. offprint, link
Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations and a global existence result for derivative nonlinear equations, in Advances in Analysis 315-320, World Sci. Publ., Hackensack, NJ, 2005.
Ruzhansky, M., Sugimoto, M. Global smoothing estimates for dispersive equations with non-polynomial symbols. Finite or infinite dimensional complex analysis and applications, 283-290, Kyushu University Press, Fukuoka, 2005. paper
Ruzhansky, M., Sugimoto, M. A new proof of global smoothing estimates for dispersive equations, Advances in pseudo-differential operators, 65–75, Oper. Theory Adv. Appl., 155, Birkhauser, Basel, 2004. link
Ruzhansky, M., Sugimoto M. Decay and regularity for dispersive equations with non-polynomial symbols, Proceedings of Microlocal Analysis and Asymptotic Analysis, RIMS, Kyoto, 2004. offprint, link
Ruzhansky M., Sugimoto M., Global L2 analysis of Fourier integral operators in Japanese, 2003.
Ruzhansky, M., Sugimoto, M. Global L2 estimates for a class of Fourier integral operators with symbols in Besov spaces, Russian Math. Surv., 58 (2003), 1044-1046. link
Ruzhansky, M. Lp-distributions on symmetric spaces, Result. Math., 44 (2003), 159-168. link
Ruzhansky, M. Recent progress in the regularity theory of Fourier integral operators with real and complex phases and solutions to partial differential equations, Banach Center Publications, Vol. 60 (2003), 151-160. link
Pushnitski, A., Ruzhansky, M. Spectral shift function of the Schrodinger operator in the large coupling constant limit, Funct. Anal. Appl., 36 (2002), 93-95. offprint, link
Ruzhansky, M. Sharp estimates for a class of hyperbolic pseudo-differential operators, Results in Math., 41 (2002), 361-368. link
Pushnitski, A., Ruzhansky, M. Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positive perturbations, Comm. Partial Differential Equations, 27 (2002), 1373-1405. link
Ruzhansky, M. On the failure of the factorization condition for non-degenerate Fourier integral operators, Proc. Amer. Math. Soc., 130 (2002), 1371-1376. link
Ruzhansky, M. V. Regularity of the parametrix of a problem with oblique derivative, Russ. Math. Surv., 56 (2001), 1179-1180. link
Ruzhansky, M. On uniform properties of doubling measures, Proc. Amer. Math. Soc., 129 (2001), 3413-3416. link
Ruzhansky, M. Estimates for pseudo-differential and hyperbolic differential equations via Fourier integrals with complex phases, In: Internat. Ser. Num. Math., Vol. 141 (2001), 831-840. link
Ruzhansky, M. V. Estimates for Fourier integral operators with complex-valued phase functions, Russ. Math. Surv., 56 (2001), 174-175. link
Ruzhansky, M. On singularities of affine fibrations of certain types, Russ. Math. Surv., 55 (2000), 353-354. link
Fomin, V.N., Ruzhansky, M.V. Abstract optimal linear filtering. SIAM J. Control Optim., 38 (2000), 1334-1352.link
Ruzhansky, M.V. Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russ. Math. Surv., 55 (2000), 93-161. link
Ruzhansky, M. Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization. Arch. Mat., 72 (1999), 68-76. link
Ruzhansky, M. On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Math. J., 28 (1999), 357-362. link, paper
Ruzhansky, M. Holomorphic factorization for the solution operators for hyperbolic equations. In: Internat. Ser. Num. Math., Vol. 130 (1999), 803-811. link
Ruzhansky, M. Singularities of affine fibrations. Tech.Rep. 1037, Dept.of Math., Utrecht Univ., 1997.
Ruzhansky, M. Global elliptic estimates on symmetric spaces. Tech.Rep. 994, Dept.of Math., Utrecht Univ., 1997.
Ruzhansky, M.V., Fomin, V.N. The optimal filter construction for a general quadratic cost functional. (Russian) Vestnik S.-Petersburg. Univ. Math. Mech. Astronom., Ser. 1, 4 (28), 1995, 50-55. (Transl. Vestnik St.Petersburg Univ. Math., 4 (28), 1996, 42-46).
Gusev, S.V., Ruzhanski, M.V. Design of minimum time optimal motion of multisectional manipulator. (Russian) Izv. Ross. Akad. Nauk, Teor. sistemy upravlenia, 3, 1995, 190-199. (Transl. J. Comput. Systems Sci. Internat. 34 (1996), 5, 60-69). link
Ruzhansky, M. On Lp estimates for the Laplacian on a class of symmetric spaces of noncompact type. Tech.Rep. 931, Dept.of Math., Utrecht Univ., 1995.
Ruzhanskii, M.V. On the time optimal motion of the multilink manipulator. (Russian) Vestnik S.-Petersburg. Univ. Math. Mech. Astronom., Ser.1, 4 (26), 1993, 98-100. (Transl. Vestnik St.Petersburg Univ. Math., 4 (26), 1994, 61-64).
Gusev, S.V., Ruzhansky, M.V. Optimal program motion construction for multilink manipulator. (Russian) Proc. of the 6th Int. Chetaev conference “Analytic Mechanics, Stability and Motion Control” (Kazan,Russia), 1992, 93-94.
Ruzhansky, M.V. Time optimal motion construction for manipulator. Proc. of the 2nd conference on automatic control, St.Petersburg, 1992.