Publications

Books and Memoirs

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
Hardy inequalities on homogeneous groups
Spectral geometry of partial differential operators
Spectral geometry of partial differential operators

Two books on pseudos on compact & graded Lie groups:

Compact Lie groups
Compact Lie groups
Graded Lie groups
Graded Lie groups

Books Edited

  1. 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
  2. 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
  3. 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
  4. 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
  5. Ruzhansky M., Turunen V. (Eds.) Fourier Analysis: Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations, Trends in Mathematics, Birkhauser, 2014. 415pp. summary
  6. 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
  7. Mityushev V., Ruzhansky M. (Eds.) Analytic Methods in Interdisciplinary Applications, Springer Proceedings in Mathematics & Statistics, Vol. 116, Springer, 2015. 181pp. summary
  8. 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
  9. 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
  10. Ruzhansky M., Tikhonov S. (Eds.) Methods of Fourier Analysis and Approximation Theory, Applied and Numerical Harmonic Analysis, Birkhauser, 2016. 226pp. summary
  11. 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
  12. 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
  13. 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
  14. Agarwal R., Dutta H., Ruzhansky M. (Eds.) Mathematical Analysis and Applications: Selected Topics, Wiley, 2018. 768pp. link, doi link
  15. Ruzhansky M., Dutta H. (Eds.) Advanced Topics in Mathematical Analysis, CRC Press, Taylor & Francis, 2018. 588pp. link
  16. 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
  17. 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
  18. Agarwal P., Agarwal R., Ruzhansky M. (Eds.) Special Functions and Analysis of Differential Equations, Chapman and Hall/CRC, 2020. 370pp. link
  19. 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
  20. 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
  21. Edited thematic issue: Dutta H., Ruzhansky M., Tokmagambetov N. (Eds) Singularities in Evolution Equations, Chaos, Solitons & Fractals, Elsevier, 2021. link
  22. 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
  23. Ruzhansky M., Wirth J. (Eds.) Harmonic Analysis and Partial Differential Equations, Trends in Mathematics, Birkhäuser, 2023. x+239pp. link, doi
  24. NEW: 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
  25. NEW: 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
  26. NEW: 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
  27. NEW: 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. x+170pp. link
  28. NEW: Chatzakou M., Ruzhansky M., Stoeva D. (Eds.) Women in Analysis and PDE. Extended Abstracts of the 2023 GAP Center Summer School, Research Perspectives Ghent Analysis and PDE Center, Trends in Mathematics, Birkhäuser, 2024. x+310pp. link

Publications

  1. 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, to appear.
  2. 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
  3. Ruzhansky M., Shriwastawa A., Verma D., Bilinear Hardy inequalities on metric measure spaces. arxiv
  4. Chatzakou M., Kassymov A., Ruzhansky M., On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups. arxiv
  5. Akhymbek M., Ruzhansky M., Tulenov K., On geometric properties of lp-spaces on unitary duals of compact groups. arxiv
  6. Gómez Cobos S., Ruzhansky M., Lp-bounds in Safarov pseudo-differential calculus on manifolds with bounded geometry. arxiv
  7. Cardona D., Kumar V., Ruzhansky M., Pseudo-differential operators on homogeneous vector bundles over compact homogeneous manifolds. arxiv
  8. Kowacs A., Ruzhansky M., Vector valued Garding inequality for pseudo-differential operators on compact homogeneous manifolds. arxiv
  9. Ruzhansky M., Shaimardan S., Tulenov K., Hörmander type Fourier multiplier theorem and Nikolskii inequality on quantum tori, and applications. arxiv
  10. Restrepo J., Ruzhansky M., Torebek B., Integro-differential diffusion equations on graded Lie groups. arxiv
  11. Dasgupta A., Mondal Sh., Ruzhansky M., Tushir A., General Caputo-type fractional discrete diffusion equation for Schrodinger operator. arxiv
  12. Jleli M., Ruzhansky M., Samet B., Torebek B., Higher-order evolution inequalities with Hardy potential on the Koranyi ball. arxiv
  13. Chatzakou M., Ruzhansky M., Shriwastawa A., Sharp upper bound for anisotropic Renyi entropy and Heisenberg uncertainty principle. arxiv
  14. Cardona D., Ruzhansky M., The weak (1,1) boundedness of Fourier integral operators with complex phases. arxiv
  15. Kassymov A., Ruzhansky M., Suragan D., Fractional Hardy type inequalities on homogeneous Lie groups in the case Q<sp. Illinois J. Math., to appear.
  16. Cardona D., Chatzakou M., Delgado J., Kumar V., Ruzhansky M., Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations. arxiv
  17. 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., to appear. arxiv
  18. Ruzhansky M., Shaimardan S., Tulenov K., Lp-Lq boundedness of Fourier multipliers on quantum Euclidean spaces. arxiv
  19. Jleli M., Ruzhansky M., Samet B., Torebek B., Semilinear wave inequalities and potential terms on Riemannian manifolds. arxiv
  20. Ruzhansky M., Sebih M., Yeskermessuly A., Wave equations for the fractional Sturm-Liouville operator with singular coefficients. arxiv
  21. Ruzhansky M., Sebih M., Tokmagambetov N., Fractional wave equation with irregular mass and dissipation. arxiv
  22. Huang J., Wang H., Weiermann A., Ruzhansky M., Optimal image transport on sparse dictionaries. arxiv
  23. Kumar V., Ruzhansky M., Zhang H.-W., Stein-Weiss inequality on non-compact symmetric spaces. arxiv
  24. Cardona D., Delgado J., Kumar V., Ruzhansky M., Lp-Lq estimates for subelliptic pseudo-differential operators on compact Lie groups. arxiv
  25. Ruzhansky M., Yeskermessuly A., Schrödinger equation for Sturm-Liouville operator with singular propagation and potential. Z. Anal. Anwend., to appear. arxiv
  26. Rana T., Ruzhansky M., Pseudo-differential operators on radial sections of line bundles over the Poincaré upper half plane. arxiv
  27. Ruzhansky M., Yeskermessuly A., Heat equation for Sturm-Liouville operator with singular propagation and potential. arxiv
  28. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group. arxiv
  29. Huang J., Wang H., Ruzhansky M., Semi-sparsity priors for image structure analysis and extraction. arxiv
  30. Cardona D., Kumar V., Ruzhansky M., Lp-Lq boundedness of pseudo-differential operators on graded Lie groups. arxiv
  31. Avetisyan Z., Grigoryan M., Ruzhansky M., Elements (functions) that are universal with respect to a minimal system. arxiv
  32. Botchway L., Chatzakou M., Ruzhansky M., Semi-classical pseudo-differential operators on ℏℤn and applications. J. Fourier Anal. Appl., to appear. arxiv
  33. Ghosh S., Kumar V., Ruzhansky M., Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. arxiv
  34. Ruzhansky M., Shriwastawa A., Tiwari B., Anisotropic weighted Levin-Cochran-Lee type inequalities on homogeneous Lie groups. arxiv
  35. Federico S., Rottensteiner D., Ruzhansky M., Weyl calculus on graded groups. arxiv
  36. Serikbayev D., Ruzhansky M., Tokmagambetov N., Heat source determining inverse problem for non-local in time equation. arxiv
  37. Serikbayev D., Ruzhansky M., Tokmagambetov N., Inverse problem of determining time-dependent leading coefficient in the time-fractional heat equation. arxiv
  38. Dasgupta A., Mondal S., Ruzhansky M., Tushir A., Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential. arxiv
  39. Huang J., Wang H., Ruzhansky M., Semi-sparsity on piecewise constant function spaces for triangular mesh denoising. arxiv
  40. Chatzakou M., Dasgupta A., Ruzhansky M., Tushir A., Discrete heat equation with irregular thermal conductivity and temperate distributional data. Proc. A Royal Soc. Edinburgh, to appear. doi, arxiv
  41. Borikhanov M., Ruzhansky M., Torebek B., Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg group. arxiv
  42. Zhang R., Kumar V., Ruzhansky M., Liouville type theorems for subelliptic systems on the Heisenberg group with general nonlinearity. arxiv
  43. Ghosh A., Ruzhansky M., Sparse bounds for oscillating multipliers on stratified groups. arxiv
  44. Ruzhansky M., Sebih M. E., Tokmagambetov N., Heat equation with singular thermal conductivity. arxiv
  45. Chatzakou M., Ruzhansky M., Revised logarithmic Sobolev inequalities of fractional order. arxiv
  46. Kumar V., Ruzhansky M., Zhang H., Smoothing properties of dispersive equations on non-compact symmetric spaces. arxiv
  47. Cardona D., Grajales B., Ruzhansky M. On the sharpness of Strichartz estimates and spectrum of compact Lie groups. arxiv
  48. Cardona D., Chatzakou M., Delgado J., Ruzhansky M., Degenerate Schrödinger equations with irregular potentials. arxiv
  49. Gómez Cobos S., Restrepo J. E., Ruzhansky M., Heat-wave-Schrödinger type equations on locally compact groups. arxiv
  50. 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
  51. Ruzhansky M., Shaimardan S., Tokmagambetov N., Some estimates for Mittag-Leffler function in quantum calculus and applications. arxiv
  52. Chatzakou M.., Restrepo J. E., Ruzhansky M., Heat and wave type equations with non-local operators, II. Hilbert spaces and graded Lie groups. arxiv
  53. Cardona D., Delgado J., Ruzhansky M., Boundedness of the dyadic maximal function on graded Lie groups. Quart. J. Math., to appear. arxiv
  54. Cardona D., Chatzakou M., Ruzhansky M., Toft J., Schatten-von Neumann properties for Hörmander classes on compact Lie groups. arxiv
  55. Shaimardan S., Karimov E., Ruzhansky M., Mamanazarov A., The Prabhakar fractional q-integral and q-differential operators, and their properties. arxiv
  56. Ruzhansky M., Shaimardan S., Direct and inverse source problems for heat equation in quantum calculus. arxiv
  57. Karimov E., Ruzhansky M., Shaimardan S., Fractional Cauchy problems associated with the bi-ordinal Hilfer fractional q-derivative. arxiv
  58. Ruzhansky M., Shriwastawa A., Tiwari B., Hardy inequalities on metric measure spaces, IV: The case p=1. Forum Math., to appear. arxiv
  59. Zhang R., Kumar V., Ruzhansky M., A direct method of moving planes for logarithmic Schrödinger operator. Z. Anal. Anwend., to appear. arxiv
  60. Cardona D., Delgado J., Ruzhansky M., Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups. arxiv
  61. Cardona D., Duduchava R., Hendrickx A., Ruzhansky M., Global pseudo-differential operators on the Lie group $G=(-1,1)^n$. arxiv
  62. Borikhanov M., Ruzhansky M., Torebek B., The Fujita exponent for a semilinear heat equation with forcing term on the Heisenberg group. arxiv
  63. Kumar M., Kumar V., Ruzhansky M., Titchmarsh theorems on Damek-Ricci spaces via moduli of continuity of higher order. arxiv
  64. Dasgupta A., Ruzhansky M., Tushir A., Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation. arxiv
  65. Cardona D., Ruzhansky M., Boundedness of oscillating singular integrals on Lie groups of polynomial growth. arxiv
  66. Cardona D., Ruzhansky M., Weak (1,1) continuity and Lp-theory for oscillating singular integral operators. arxiv
  67. Cardona D., Delgado J., Ruzhansky M., Analytic functional calculus and Gårding inequality on graded Lie groups with applications to diffusion equations. arxiv
  68. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Liouville theorems for Kirchhoff-type hypoelliptic partial differential equations and systems. I. Heisenberg group. arxiv
  69. Cardona D., Federico S., Ruzhansky M., Subelliptic sharp Gårding inequality on compact Lie groups. Pure Appl. Anal., to appear. arxiv
  70. Kumar V., Ruzhansky M., Titchmarsh theorems, Hausdorff-Young-Paley inequality and Lp-Lq boundedness of Fourier multipliers on harmonic NA groups. arxiv
  71. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Hardy-Rellich inequalities on Lie groups. arxiv
  72. Chatzakou M., Kassymov A., Ruzhansky M., Logarithmic Sobolev-type inequalities on Lie groups. J. Geom. Anal., to appear. arxiv
  73. Cardona D., Delgado J., Ruzhansky M., Dixmier traces, Wodzicki residues, and determinants on compact Lie groups: the paradigm of the global quantisation. arxiv
  74. Ruzhansky M., Sabitbek B., Hardy and Rellich inequalities with Bessel pairs. Proc. Edinburgh Math. Soc., to appear. arxiv
  75. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary. arxiv
  76. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on graded Lie groups. arxiv
  77. Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. MSJ Memoirs, to appear. arxiv
  78. Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficients. arxiv
  79. Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for Belgium. medRxiv, paper
  80. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
  81. 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
  82. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. arxiv
  83. 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
  84. Ruzhansky M., Yessirkegenov N., Hardy-Sobolev-Rellich, Hardy-Littlewood-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. J. Geom. Anal., to appear. arxiv
  85. Cardona D., Ruzhansky M., Hörmander condition for pseudo-multipliers associated to the harmonic oscillator. Hokkaido Math. J., to appear. arxiv
  86. ——————– published ——————–
  87. 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
  88. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities. Math. Z., 307 (2024), no. 2, paper no. 22. doi (open access), arxiv
  89. 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
  90. 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
  91. 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
  92. 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
  93. 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
  94. Avetisyan Zh., Ruzhansky M., A note on the polar decomposition in metric spaces. J. Math. Sci., 280 (2024), 73-82. doi (open access), arxiv
  95. 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
  96. Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equations. Nonlinear Anal., 242 (2024), 113500. doi, arxiv
  97. 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
  98. Chatzakou M., Kassymov A., Ruzhansky M., Anisotropic Shannon inequality. Osaka J. Math., 61 (2024), 79-89. link (open access), arxiv
  99. 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
  100. 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
  101. 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
  102. 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
  103. 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
  104. 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
  105. 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
  106. 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
  107. Restrepo J., Ruzhansky M., Suragan D., Generalized fractional Dirac type operators. Fract. Calc. Appl. Anal., 26 (2023), 2720-2756. doi, arxiv
  108. 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
  109. Kumar V., Ruzhansky M., Lp-Lq Multipliers on commutative hypergroups. J. Austral. Math. Soc., 115 (2023), 375-395. doi, arxiv
  110. Ruzhansky M., Sebih M. E., Tokmagambetov N., Schrödinger equation with singular position dependent mass. Z. Anal. Anwend., 42 (2023), 131-144. doi, arxiv
  111. 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
  112. 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
  113. 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
  114. 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
  115. 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
  116. 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
  117. 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
  118. 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
  119. 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
  120. 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
  121. 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
  122. 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
  123. 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
  124. 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
  125. Cardona D., Ruzhansky M., Oscillating singular integral operators on compact Lie groups revisited. Math. Z., 303:26 (2023). doi (open access), arxiv
  126. 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
  127. 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
  128. 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
  129. 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
  130. 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
  131. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg group. J. Math. Phys., 63 (2022), Paper No. 111509, 23pp. doi, arxiv
  132. Cardona D., Delgado J., Ruzhansky M., Determinants and Plemelj-Smithies formulas. Monatsh. Math., 199 (2022), 459-482. doi (open access), arxiv
  133. 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
  134. 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
  135. 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
  136. 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
  137. Cardona D., Ruzhansky M., Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups. Collect. Math., 73 (2022), 477-504. doi (open access), arxiv
  138. 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
  139. 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
  140. 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
  141. 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
  142. 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
  143. Kumar V., Ruzhansky M., Hardy-Littlewood inequality and Lp–Lq Fourier multipliers on compact hypergroups. J. Lie Theory, 32 (2022), 475-498. link, arxiv
  144. 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
  145. 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
  146. Dasgupta A., Ruzhansky M., Tushir A., Discrete time-dependent wave equations I. Semiclassical analysis. J. Differential Equations, 317 (2022), 89-120. doi, arxiv
  147. Karimov E., Ruzhansky M., Tokmagambetov N., Cauchy type problems for fractional differential equations. Integral Transforms Spec. Funct., 33 (2022), 47-64. doi, arxiv
  148. Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spaces. Ann. Fenn. Math., 47 (2022), 39-55. doi, arxiv
  149. 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
  150. 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
  151. 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
  152. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. J. Convex Anal., 28 (2021), 927-938. paper, arxiv
  153. 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
  154. 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
  155. Avetisyan Zh., Grigoryan M., Ruzhansky M., Approximations in L1 with convergent Fourier series. Math. Z., 299 (2021), 1907-1927. doi (open access), arxiv
  156. 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
  157. Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operators. J. Math. Pures Appl., 154 (2021), 1-29. doi (open access), arxiv
  158. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. J. Math. Pures Appl., 153 (2021), 1-29. doi (open access), arxiv
  159. 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
  160. 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
  161. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, Colloq. Math., 165 (2021), 1-30. doi, arxiv, free online first
  162. 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
  163. 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
  164. 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
  165. Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces. Math. Nachr., 294 (2021), 265-285. doi, arxiv
  166. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, Acta Appl. Math., 171 (2021), 21. 24pp. doi (open access), arxiv
  167. 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
  168. 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
  169. 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
  170. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., The heat equation with strongly singular potentials. Appl. Math. Comput., 399 (2021), 126006. doi, arxiv
  171. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Fractional Klein-Gordon equation with singular mass. Chaos, Solitons and Fractals, 143 (2021), 110579. doi, arxiv
  172. 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
  173. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theory, 10 (2020), 1361-1411. doi, arxiv
  174. Ruzhansky M., Torebek B., Multidimensional van der Corput-type estimates involving Mittag-Leffler functions. Fract. Calc. Appl. Anal. 23 (2020), 1663-1677. doi
  175. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650. link, arxiv
  176. 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
  177. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg group. C. R. Acad. Sci. Paris, 358 (2020), 609-615. arxiv, doi
  178. 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
  179. 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
  180. 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
  181. 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
  182. 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
  183. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groups. Anal. Math. Phys., 10 (2020), no. 3, 33, 20pp. arxiv, link
  184. 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
  185. 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
  186. 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)
  187. 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
  188. 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
  189. 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
  190. 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
  191. Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groups. Bull. Sci. Math., 160 (2020), 102853. link, arxiv
  192. Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. link, arxiv
  193. 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)
  194. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equations. J. Differential Equations, 268 (2020), 2063-2088. link (open access), arxiv
  195. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access), arxiv
  196. 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
  197. 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)
  198. 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)
  199. 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
  200. 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
  201. 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
  202. 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
  203. Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci., 95 (2019), 83-87. link
  204. 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
  205. 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
  206. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174. link (download), arxiv
  207. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link
  208. 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)
  209. 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
  210. 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)
  211. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478. link, arxiv
  212. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468. link, arxiv, paper
  213. 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
  214. 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
  215. 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
  216. 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),
  217. Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, Proc. R. Soc. A, 475 (2019), 20180310, 15pp. offprint, arxiv, link
  218. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian,  Appl. Comput. Math., 18 (2019), 69-78. arxiv
  219. 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
  220. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904. arxiv, link
  221. 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
  222. 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
  223. 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
  224. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349. arxiv, link
  225. 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
  226. Ruzhansky M., Suragan D., A note on stability of Hardy inequalities, Ann. Funct. Anal., 9 (2018), 451-462. arxiv, link
  227. 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
  228. 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
  229. 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
  230. Ruzhansky M., Tokmagambetov N., Convolution, Fourier analysis, and distributions generated by Riesz bases, Monatsh. Math., 187 (2018), 147-170. offprint (open access), arxiv, link
  231. Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access), arxiv, link
  232. 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
  233. Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., 52 (2018), 158-161. link(eng), link (rus)
  234. 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)
  235. 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
  236. 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
  237. Delgado J., Ruzhansky M., The bounded approximation property of variable Lebesgue spaces and nuclearity, Math. Scand., 122 (2018), 299-319. link, arxiv
  238. 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
  239. 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
  240. 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
  241. 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
  242. 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
  243. Fischer V., Ruzhansky M., Sobolev spaces on graded groups, Ann. Inst. Fourier (Grenoble), 67 (2017), 1671-1723. offprint (open access), arxiv, link
  244. Delgado J., Ruzhansky M., Schatten classes and traces on compact groups, Math. Res. Lett., 24 (2017), 979-1003. arxiv, link
  245. 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
  246. Akylzhanov R., Ruzhansky M., Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses, Eurasian Math. J., 8 (2017), 10-27. download, arxiv
  247. Kanguzhin B., Ruzhansky M., Tokmagambetov N., On convolutions in Hilbert spaces, Funct. Anal. Appl., 51 (2017), 221-224. link (eng)  link (rus)
  248. 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
  249. 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
  250. 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
  251. 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
  252. 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
  253. 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
  254. 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
  255. 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
  256. 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
  257. 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
  258. 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
  259. 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
  260. 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
  261. 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
  262. 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
  263. 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
  264. 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
  265. 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
  266. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom., 12 (2017), 115-140. arxiv, link
  267. 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
  268. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Trans. Amer. Math. Soc., 368 (2016), 8481-8498. arxiv, link
  269. 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
  270. 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
  271. 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
  272. 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
  273. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood inequalities and Fourier multipliers on SU(2), Studia Math., 234 (2016), 1-29. offprint, arxiv, link
  274. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood-Paley type inequalities on compact Lie groups, Math. Notes, 100 (2016), 287-290. link1, link2
  275. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access), arxiv, link
  276. 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
  277. 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
  278. Ruzhansky M., Sugimoto M., Smoothing estimates for non-dispersive equations. Math. Ann., 365 (2016), 241-269. offprint (open access), arxiv, link
  279. 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
  280. 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
  281. Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158. link
  282. 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
  283. 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
  284. Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl., 434 (2016), 1676-1689. offprint (open access), arxiv, link
  285. Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and functional classes on compact Lie groups, Funct. Anal. Appl., 49 (2015), 226-229. arxiv, link
  286. Ruzhansky M., Wirth J., Lp Fourier multipliers on compact Lie groups, Math. Z., 280 (2015), 621-642. offprint (open access), arxiv, link
  287. 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
  288. 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
  289. Ruzhansky M., Sugimoto M., On global inversion of homogeneous maps, Bull. Math. Sci., 5 (2015), 13-18. offprint (open access), arxiv, link
  290. Ruzhansky M., Sugimoto M., Trace theorems: critical cases and best constants, Proc. Amer. Math. Soc., 143 (2015), 227-237. arxiv, link
  291. Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes and nuclearity of boundary value problems, only on arxiv(extended to manifolds with boundary here)
  292. 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
  293. 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
  294. 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
  295. 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
  296. Delgado J., Ruzhansky M., Schatten classes on compact manifolds: Kernel conditions, J. Funct. Anal., 267 (2014), 772-798. offprint (open access), arxiv, link
  297. 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
  298. Ruzhansky M., Wirth J., Global functional calculus for operators on compact Lie groups, J. Funct. Anal., 267 (2014), 144-172. arxiv, link
  299. 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
  300. 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
  301. Coriasco S., Ruzhansky M., Global Lp continuity of Fourier integral operators, Trans. Amer. Math. Soc., 366 (2014), 2575-2596. arxiv, link
  302. 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
  303. 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
  304. 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
  305. Matsuyama T., Ruzhansky M., Global well-posedness of Kirchhoff systems, J. Math. Pures Appl., 100 (2013), 220-240. arxiv, link
  306. Matsuyama T., Ruzhansky M., Scattering for strictly hyperbolic systems with time-dependent coefficients, Math. Nachr., 286 (2013), 1191-1207. offprint (open access), arxiv, link
  307. 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
  308. Ruzhansky M., An open problem in complex analytic geometry arising in harmonic analysis, Math. Model. Nat. Phenom., 8 (2013), 230-236. arxiv, link
  309. Ruzhansky M., Wirth J., On multipliers on compact Lie groups, Funct. Anal. Appl., 47 (2013), 72-75.arxiv, link
  310. 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
  311. 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
  312. 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
  313. Ruzhansky M., Sugimoto M., Structural resolvent estimates and derivative nonlinear Schrodinger equations, Comm. Math. Phys., 314 (2012), 281-304. arxiv, link
  314. 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
  315. 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
  316. 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
  317. Ruzhansky M., Multidimensional decay in van der Corput lemma, Studia Math., 208 (2012), 1-10. arxiv, link
  318. 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
  319. 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
  320. 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
  321. Ruzhansky M., Turunen V., Sharp Garding inequality on compact Lie groups, J. Funct. Anal., 260 (2011), 2881-2901.arxiv, link
  322. Ruzhansky M., Wirth J., Dispersive estimates for hyperbolic systems with time-dependent coefficients, J. Differential Equations, 251 (2011), 941-969. arxiv, link
  323. Ruzhansky M., Sugimoto M., Weighted Sobolev L2 estimates for a class of Fourier integral operators, Math. Nachr., 284 (2011), 1715-1738.arxiv, link
  324. Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982. arxiv, link
  325. 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
  326. Ruzhansky M., Sugimoto M., Criteria for Bochners extension problem, Asymptotic Analysis, 66 (2010), 125-138.arxiv, link
  327. Matsuyama T., Ruzhansky M. Asymptotic integration and dispersion for hyperbolic equations, Adv. Diff. Equations, 15 (2010), 721-756. arxiv
  328. 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
  329. Ruzhansky M., Turunen V., On the toroidal quantization of periodic pseudo-differential operators, Numerical Functional Analysis and Optimization, 30 (2009), 1098-1124.offprint, link
  330. Ruzhansky M. Pointwise van der Corput lemma for functions of several variables, Funct. Anal. Appl., 43 (2009), 75-77. link
  331. Matsuyama T., Ruzhansky M., Time decay for hyperbolic equations with homogeneous symbols, C. R. Acad. Sci. Paris, Ser I. 347 (2009), 915-919. link
  332. 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
  333. 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
  334. 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
  335. 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.
  336. Ruzhansky M. Microlocal time decays for hyperbolic equations with lower order terms, Novi Sad J. Math, 38 (2008), 15-26.paper
  337. Ruzhansky M. On Strichartz estimates for hyperbolic equations with constant coefficients, RIMS Kokyuroku Bessatsu B10, 177-189 (2008). offprint, link
  338. 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.
  339. 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
  340. 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
  341. 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
  342. 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.
  343. Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations in the critical case, Math. Ann., 335 (2006), 645-673. link
  344. 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
  345. 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.
  346. 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
  347. Kamotski, I., Ruzhansky, M. Representation of solutions and regularity properties for weakly hyperbolic systems, 53-63, Oper. Theory Adv. Appl., 164, 2006. link
  348. 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
  349. Kamotski, I., Ruzhansky, M. Estimates and spectral asymptotics for systems with multiplicities, Funct. Anal. Appl., 39 (2005), 308-310. offprint, link
  350. 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.
  351. 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
  352. 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
  353. 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
  354. Ruzhansky M., Sugimoto M., Global L2 analysis of Fourier integral operators in Japanese, 2003.
  355. 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
  356. Ruzhansky, M. Lp-distributions on symmetric spaces, Result. Math., 44 (2003), 159-168. link
  357. 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
  358. 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
  359. Ruzhansky, M. Sharp estimates for a class of hyperbolic pseudo-differential operators, Results in Math., 41 (2002), 361-368. link
  360. 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
  361. Ruzhansky, M. On the failure of the factorization condition for non-degenerate Fourier integral operators, Proc. Amer. Math. Soc., 130 (2002), 1371-1376. link
  362. Ruzhansky, M. V. Regularity of the parametrix of a problem with oblique derivative, Russ. Math. Surv., 56 (2001), 1179-1180. link
  363. Ruzhansky, M. On uniform properties of doubling measures, Proc. Amer. Math. Soc., 129 (2001), 3413-3416. link
  364. 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
  365. Ruzhansky, M. V. Estimates for Fourier integral operators with complex-valued phase functions, Russ. Math. Surv., 56 (2001), 174-175. link
  366. Ruzhansky, M. On singularities of affine fibrations of certain types, Russ. Math. Surv., 55 (2000), 353-354. link
  367. Fomin, V.N., Ruzhansky, M.V. Abstract optimal linear filtering. SIAM J. Control Optim., 38 (2000), 1334-1352.link
  368. Ruzhansky, M.V. Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russ. Math. Surv., 55 (2000), 93-161. link
  369. Ruzhansky, M. Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization. Arch. Mat., 72 (1999), 68-76. link
  370. Ruzhansky, M. On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Math. J., 28 (1999), 357-362. link, paper
  371. Ruzhansky, M. Holomorphic factorization for the solution operators for hyperbolic equations. In: Internat. Ser. Num. Math., Vol. 130 (1999), 803-811. link
  372. Ruzhansky, M. Singularities of affine fibrations. Tech.Rep. 1037, Dept.of Math., Utrecht Univ., 1997.
  373. Ruzhansky, M. Global elliptic estimates on symmetric spaces. Tech.Rep. 994, Dept.of Math., Utrecht Univ., 1997.
  374. 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).
  375. 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
  376. 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.
  377. 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).
  378. 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.
  379. Ruzhansky, M.V. Time optimal motion construction for manipulator. Proc. of the 2nd conference on automatic control, St.Petersburg, 1992.