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:


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 7th 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
- NEW: Ruzhansky M., Wirth J. (Eds.) Harmonic Analysis and Partial Differential Equations, Trends in Mathematics, Birkhäuser, 2023. x+239pp. link, doi
Publications
- Fino A., Ruzhansky M., Torebek B., Fujita-type results for the degenerate parabolic equations on the Heisenberg groups. arxiv
- Borikhanov M., Ruzhansky M., Torebek B., Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg group. arxiv
- Zhang R., Kumar V., Ruzhansky M., Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. arxiv
- Ghosh A., Ruzhansky M., Sparse bounds for oscillating multipliers on stratified groups. arxiv
- Ruzhansky M., Sebih M. E., Tokmagambetov N., Schrödinger equation with singular position dependent mass. arxiv
- Ruzhansky M., Sebih M. E., Tokmagambetov N., Heat equation with singular thermal conductivity. arxiv
- Chatzakou M., Ruzhansky M., Revised logarithmic Sobolev inequalities of fractional order. 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. arxiv
- Gomez Cobos S., Restrepo J. E., Ruzhansky M., Lp-Lq estimates for non-local heat and wave 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., Delgado J., Grajales B., Ruzhansky M., Control of the Cauchy problem on Hilbert spaces: A global approach via symbol criteria. arxiv
- Cardona D., Delgado J., Ruzhansky M., Boundedness of the dyadic maximal function on graded Lie groups. arxiv
- Cardona D., Chatzakou M., Ruzhansky M., Toft J., Schatten-von Neumann properties for Hörmander classes on compact Lie groups. arxiv
- Shaimardan S., Karimov E., Ruzhansky M., Mamanazarov A., The Prabhakar fractional q-integral and q-differential operators, and their properties. arxiv
- Ruzhansky M., Shaimardan S., Direct and inverse source problems for heat equation in quantum calculus. arxiv
- Karimov E., Ruzhansky M., Shaimardan S., Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional q-derivative. arxiv
- Ruzhansky M., Shriwastawa A., Tiwari B., Hardy inequalities on metric measure spaces, IV: The case p=1. arxiv
- Kassymov A., Kumar V., Ruzhansky M., Functional inequalities on symmetric spaces of noncompact type and applications. arxiv
- Zhang R., Kumar V., Ruzhansky M., A direct method of moving planes for logarithmic Schrödinger operator. arxiv
- Zhang R., Kumar V., Ruzhansky M., Symmetry of positive solutions for Lane-Emden systems involving the logarithmic Laplacian. 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, to appear. arxiv
- Ruzhansky M., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular intermediate coefficient and potential. arxiv
- Cardona D., Delgado J., Ruzhansky M., A note on the local Weyl formula on compact Lie groups. arxiv
- Rottensteiner D., Ruzhansky M., An update on the Lp-Lq norms of spectral multipliers on unimodular Lie groups. Arch. Math., to appear. doi, arxiv
- Cardona D., Delgado J., Ruzhansky M., Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. arxiv
- Cardona D., Duduchava R., Hendrickx A., Ruzhansky M., Global pseudo-differential operators on the Lie group $G=(-1,1)^n$. arxiv
- Ruzhansky M., Shaimardan S., Yeskermessuly A., Wave equation for Sturm-Liouville operator with singular potentials. arxiv
- Abolarinwa A., Ruzhansky M., Generalised Hardy type and Rellich type inequalities on the Heisenberg group. arxiv
- Borikhanov M., Ruzhansky M., Torebek B., The Fujita exponent for a semilinear heat equation with forcing term on the Heisenberg group. arxiv
- Ghosh S., Kumar V., Ruzhansky M., Compact embeddings, eigenvalue problems, and subelliptic Brezis-Nirenberg equations involving singularity on stratified Lie groups. Math. Ann., to appear. arxiv
- Kumar M., Kumar V., Ruzhansky M., Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order. arxiv
- Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation. arxiv
- Ruzhansky M., Sabitbek B., Blow-up solutions of damped Klein-Gordon equation on the Heisenberg group. Eur. J. Math., to appear. arxiv
- Ruzhansky M., Shriwastawa A., Tiwari B., A note on best constants for weighted Hardy inequalities on homogeneous groups. arxiv
- Cardona D., Ruzhansky M., Boundedness of oscillating singular integrals on Lie groups of polynomial growth. arxiv
- Cardona D., Ruzhansky M., Weak (1,1) continuity and Lp-theory for oscillating singular integral operators. 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
- Cardona D., Federico S., Ruzhansky M., Subelliptic sharp Gårding inequality on compact Lie groups. arxiv
- Kumar V., Ruzhansky M., Lp-Lq Multipliers on commutative hypergroups. 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
- Huang J., Wang H., Wang X., Ruzhansky M., Semi-sparsity for smoothing filters. IEEE Transactions on Image Processing, to appear. doi, arxiv
- Huang J., Ruzhansky M., Zhang Q., Wang H., Intrinsic image transfer for illumination manipulation. IEEE Transactions on Pattern Analysis and Machine Intelligence, to appear. arxiv
- Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev inequalities on Lie groups. arxiv
- Chatzakou M., Kassymov A., Ruzhansky M., Anisotropic Shannon inequality. Osaka J. Math., to appear. 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., to appear. doi (open access), arxiv
- Cardona D., Delgado J., Ruzhansky M., Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. arxiv
- Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. arxiv
- Hong Q., Hu G., Ruzhansky M., Fourier multipliers for Hardy spaces on graded Lie groups. Proc. Royal Soc. Edinburgh, to appear. arxiv
- Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. arxiv
- Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. arxiv
- Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. 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, to appear. 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
- Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations. arxiv
- Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. arxiv
- Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. arxiv
- Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. Complex Var. Elliptic Equ., to appear. arxiv
- Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
- Ruzhansky M., Yessirkegenov N., Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. arxiv
- Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. 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, to appear. arxiv
- Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. arxiv
- Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups. arxiv
- ——————– published ——————–
- 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., Lp–Lq 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 Lp–Lq 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 L1 with 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., Lp-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., Lp-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 Lp-Hardy and Lp-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 Lp-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 Lp 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 Lp (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 4thInternational 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.
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