Books and Memoirs

  1. Ruzhansky, M. Regularity theory of Fourier integral operators with complex phases and singularities of affine fibrationsCWI 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. linkdownload (open access book, first by Imperial College London) Bookmetrix the winner of  Ferran Sunyer I Balaguer Prize 2014
  6. NEW: 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. NEW: 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

Posters about two last books:

Two books on pseudos on compact & 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. NEW: 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. NEW: 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, Springer, 2020, to appear
  20. NEW: 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. xx+580pp. link, doi
  21. Edited thematic issue: Dutta H., Ruzhansky M., Tokmagambetov N. (Eds) Singularities in Evolution Equations, Chaos, Solitons & Fractals, Elsevier, 2020, to appear. link
  22. Covid-19: Agarwal P., Nieto J., Ruzhansky M., Torres D. (Eds.) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact, Springer, 2021, to appear


  1. Cardona D., Ruzhansky M., Subelliptic pseudo-differential operators and Fourier integral operators on compact Lie groups. arxiv
  2. Ruzhansky M., Sabitbek B., Suragan D., Principal frequency of p-sub-Laplacians for general vector fields. Z. Anal. Anwend., to appear. arxiv
  3. Rodriguez Torijano C. A.., Ruzhansky M., Subelliptic wave equations with log-Lipschitz coefficientsarxiv
  4. Restrepo J., Ruzhansky M., Suragan D., Explicit representations of solutions for linear fractional differential equations with variable coefficientsarxiv
  5. Kassymov A., Ruzhansky M., Torebek B., Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problemsarxiv
  6. Ruzhansky M., Tokmagambetov N., Torebek B., A projection model of COVID-19 pandemic for BelgiummedRxivpaper
  7. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Tsunami propagation for singular topographies. arxiv
  8. Ruzhansky M., Yessirkegenov N., A comparison principle for higher order nonlinear hypoelliptic heat operators on graded Lie groupsarxiv
  9. Ruzhansky M., Serikbaev D., Tokmagambetov N., Torebek B., Direct and inverse problems for time-fractional pseudo-parabolic equationsarxiv
  10. Kumar V., Ruzhansky M., Hardy-Littlewood inequality and Lp–Lq Fourier multipliers on compact hypergroupsarxiv
  11. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. II. α-directions. arxiv
  12. Cardona D., Kumar V., Ruzhansky M., Tokmagambetov N., Lp–Lq boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equationsarxiv
  13. Federico S., Ruzhansky M., Smoothing and Strichartz estimates for degenerate Schrödinger-type equationsarxiv
  14. Kumar V., Ruzhansky M., A note on K-functional, modulus of smoothness, Jackson theorem and Nikolskii-Stechkin inequality on Damek-Ricci spacesarxiv
  15. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., The heat equation with singular potentials. arxiv
  16. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Fractional Schrodinger equations with potentials of higher-order singularitiesarxiv
  17. Altybay A., Ruzhansky M., Sebih M., Tokmagambetov N., Fractional Klein-Gordon equation with strongly singular mass termarxiv
  18. Karimov E., Ruzhansky M., Tokmagambetov N., Initial, inner and inner-boundary problems for a fractional differential equationarxiv
  19. Ruzhansky M., Torebek B., Van der Corput lemmas for Mittag-Leffler functions. arxiv
  20. Altybay A., Ruzhansky M., Tokmagambetov N., A parallel hybrid implementation of the 2D acoustic wave equation. Int. J. Nonlinear Sci. Numer. Simul., to appear. arxivlink
  21. Kassymov A., Ruzhansky M., Suragan D., Reverse Stein-Weiss, Hardy-Littlewood-Sobolev, Hardy, Sobolev and Caffarelli-Kohn-Nirenberg inequalities on homogeneous groupsarxiv
  22. Kassymov A., Ruzhansky M., Suragan D., Reverse integral Hardy inequalities on metric measure spacesarxiv
  23. Cardona D., Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on graded Lie groups. arxiv
  24. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classesII. Normal formsarxiv
  25. Kirilov A., De Moraes W., Ruzhansky M., Global properties of vector fields on compact Lie groups in Komatsu classesarxiv
  26. Ruzhansky M., Velasquez-Rodriguez J. P., Non-harmonic Gohberg’s lemma, Gershgorin theory and heat equation on manifolds with boundary. Math. Nachr., to appear arxiv
  27. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy inequalities on starshaped sets. Journal of Convex Analysisto appear. arxiv
  28. Cardona D., Ruzhansky M., Boundedness of pseudo-differential operators in subelliptic Sobolev and Besov spaces on compact Lie groups. arxiv
  29. Rottensteiner D., Ruzhansky M., Harmonic and anharmonic oscillators on the Heisenberg grouparxiv
  30. Fischer V., Rottensteiner D., Ruzhansky M., Heisenberg-modulation spaces at the crossroads of coorbit theory and decomposition space theory. arxiv
  31. 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. arxiv
  32. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. III. Hilbert spaces and Universality. arxiv
  33. Chatzakou M., Delgado J., Ruzhansky M., On a class of anharmonic oscillators. arxiv
  34. Ruzhansky M., Sabitbek B., Suragan D., Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups. Bull. Math. appear. arxiv
  35. Ruzhansky M., Yessirkegenov N., Hardy, Hardy-Sobolev and Caffarelli-Kohn-Nirenberg inequalities on general Lie groups. arxiv
  36. Avetisyan Zh., Grigoryan M., Ruzhansky M., Approximations in Lwith convergent Fourier series. Math. Z., to appear. arxiv
  37. Cardona D., Ruzhansky M., Hormander condition for pseudo-multipliers associated to the harmonic oscillatorarxiv
  38. 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 systemsarxiv
  39. Fischer V., Ruzhansky M., Taranto C., Subelliptic Gevrey spaces. Math. Nachr., to appear. doiarxiv
  40. Ruzhansky M., Yessirkegenov N., Hypoelliptic functional inequalities, arxiv
  41. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvaturearxiv
  42. Ruzhansky M., Yessirkegenov N., Critical Sobolev, Gagliardo-Nirenberg, Trudinger and Brezis-Gallouet-Wainger inequalities, best constants, and ground states on graded groupsarxiv
  43. Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operatorsarxiv
  44. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, J. Spectr. Theoryto appear. arxiv
  45. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groupsActa. Appl. Math., to appear. arxiv
  46. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groupsarxiv
  47. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groupsColloq. Math., to appear. doiarxiv
  48. ——————– published ——————–
  49. 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. doiarxiv
  50. Ben-Artzi M., Ruzhansky M., Sugimoto M., Spectral identities and smoothing estimates for evolution operators. Adv. Diff. Equations, 25 (2020), 627-650. linkarxiv
  51. Rottensteiner D., Ruzhansky M., The harmonic oscillator on the Heisenberg groupC. R. Acad. Sci. Paris, 358 (2020), 609-615. arxiv, doi
  52. 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. linkarxiv, doi
  53. Kassymov A., Ruzhansky M., Tokmagambetov N., Torebek B., Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for some fractional derivativesBanach J. Math. Anal., 15 (2020), no. 1, 6. arxiv, doi
  54. 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 equationsCalc. Var. Partial Differential Equations, 59 (2020), no. 5, 175. doi (open access), arxiv
  55. Ruzhansky M., Sabitbek B., Suragan D., Subelliptic geometric Hardy type inequalities on half-spaces and convex domainsAnn. Funct. Anal., 11 (2020), 1042-1061. link (open access)arxiv
  56. Ruzhansky M., Suragan D., Yessirkegenov N., Euler semigroup, Hardy-Sobolev and Gagliardo-Nirenberg type inequalities on homogeneous groups. Semigroup Forum101 (2020), 162-191. link (open access), arxiv
  57. Akylzhanov R., Liflyand E., Ruzhansky M., Re-expansions on compact Lie groupsAnal. Math. Phys., 10 (2020), no. 3, 33, 20pp. arxivlink
  58. Ruzhansky M., Suragan D., Green’s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groupsPotential Analysis, 53 (2020), 645-658. arxivlink
  59. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on ZnJ. Funct. Anal., 278 (2020), no. 11, 108473, 41pp. link (open access)arxiv
  60. 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)
  61. Ruzhansky M., Sabitbek B., Suragan D., Hardy and Rellich inequalities for anisotropic p-sub-LaplaciansBanach J. Math. Anal., 14 (2020), 380-398. linkarxiv
  62. 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. linkarxiv
  63. Ruzhansky M., Hasanov A., Self-similar solutions of some model degenerate partial differential equations of the second, third and fourth orderLobachevskii J. Math., 41 (2020), 1103-1114. linkarxiv
  64. Hasanov A., Ruzhansky M., Hypergeometric expansions of solutions of the degenerate model parabolic equations of the third orderLobachevskii J. Math., 41 (2020), 27-31. link
  65. Kirilov A., De Moraes W., Ruzhansky M., Partial Fourier series on compact Lie groupsBull. Sci. Math., 160 (2020), 102853. linkarxiv
  66. Kumar V., Ruzhansky M., Hausdorff-Young inequality for Orlicz spaces on compact homogeneous manifolds, Indag. Math., 31 (2020), 266-276. linkarxiv
  67. Esposito M., Ruzhansky M., Pseudo-differential operators with nonlinear quantizing  functions, Proc. Roy. Soc. Edinburgh Sect. A150 (2020), 103-130. arxiv, link (open access)
  68. Ruzhansky M., Yessirkegenov N., Very weak solutions to hypoelliptic wave equationsJ. Differential Equations, 268 (2020), 2063-2088. link (open access)arxiv
  69. Akylzhanov R., Ruzhansky M., Lp-Lq multipliers on locally compact groups, J. Funct. Anal., 278 (2020), no. 3, 108324, 49pp. link (open access)arxiv
  70. Kassymov A., Ruzhansky M., Suragan D., Fractional logarithmic inequalities and blow-up results with logarithmic nonlinearity on homogeneous groupsNoDEA Nonlinear Differential Equations Appl.27 (2020), no. 1, Paper No. 7. link
  71. Ruzhansky M., Tokmagambetov N., Torebek B., Bitsadze-Samarskii type problem for the integer-differential diffusion-wave equation on the Heisenberg groupIntegral Transforms and Special Functions, 31 (2020), 1-9. link (open access)
  72. 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)
  73. Ruzhansky M., Tokmagambetov N., Torebek B., Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations. Journal of Inverse and Ill-Posed Problems27 (2019), 891-911. linkarxiv
  74. 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
  75. Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulationsAppl. Math. E-Notes, 19 (2019), 552-562. free download
  76. 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
  77. Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci.95 (2019), 83-87. link
  78. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifoldsJ. Math. Anal. Appl., 479 (2019), 1519-1548. arxivlink
  79. Munoz J. C., Ruzhansky M., Tokmagambetov N.,  Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., 53 (2019), 153-156. linkview paper
  80. Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math.44 (2019), 1159-1174link (download)arxiv
  81. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxivlink
  82. 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)
  83. 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. linkarxiv
  84. Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifoldsMonatsh. Math., 189 (2019), 23-49. arxivlink (open access)
  85. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrumDifferential Integral Equations, 32 (2019), 455-478. linkarxiv
  86. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468. linkarxivpaper
  87. 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)arxivlink
  88. 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. linkarxiv
  89. 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
  90. Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groupsQuart. J. Math., 70 (2019), 305-318. arxiv, link, offprint (open access),
  91. Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, Proc. R. Soc. A475 (2019), 20180310, 15pp. offprintarxivlink
  92. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian,  Appl. Comput. Math.18 (2019), 69-78. arxiv
  93. 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)arxivlink
  94. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operatorsJ. Math. Anal. Appl., 473 (2019), 892-904. arxiv, link
  95. Ruzhansky M., Sugimoto M., Global regularity properties for a class of Fourier integral operatorsarxiv. The method has been substantially revised and extended to a much more general setting: arxiv, link
  96. 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
  97. Ruzhansky M., Sabitbek B., Suragan D., Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groupsRev. Mat. Complutense, 32 (2019), 19-35. enhanced pdf (open access)arxiv, link
  98. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with driftProc. Amer. Math. Soc., 147 (2019), 1335-1349. arxivlink
  99. Garetto C., Jäh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I: well-posednessMath. Ann., 372 (2018), 1597–1629. offprint (open access)arxiv, link
  100. Ruzhansky M., Suragan D., A note on stability of Hardy inequalitiesAnn. Funct. Anal., 9 (2018), 451-462. arxiv, link
  101. Ruzhansky M., Suragan D., A comparison principle for nonlinear heat Rockland operators on graded groupsBull. Lond. Math. Soc.50 (2018), 753-758. enhanced pdf (open access)arxiv, link
  102. 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 Equations265 (2018), 5212-5236. offprint (open access)arxiv, link
  103. Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groupsComm. Math. Phys., 362 (2018), 761-799. offprint (open access)linkarxiv
  104. Ruzhansky M., Tokmagambetov N., Convolution, Fourier analysis, and distributions generated by Riesz basesMonatsh. Math., 187 (2018), 147-170. offprint (open access)arxiv, link
  105. Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., 135 (2018), 757-800. offprint (open access)arxiv, link
  106. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representationsTrans. Amer. Math. Soc. Ser. B., 5 (2018), 81-101.offprint (open access)linkarxiv
  107. Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., 52 (2018), 158-161. link(eng)link (rus)
  108. 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)
  109. Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spacesFract. Calc. Appl. Anal., 21 (2018), 577-612. arxiv, link
  110. 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), 32-62offprint (open access)linkarxiv
  111. Delgado J., Ruzhansky M., The bounded approximation property of variable Lebesgue spaces and nuclearityMath. Scand., 122 (2018), 299-319. linkarxiv
  112. Ruzhansky M., Suragan D., Yessirkegenov N., Sobolev type inequalities, Euler-Hilbert-Sobolev and Sobolev-Lorentz-Zygmund spaces on homogeneous groupsIntegral Equations Operator Theory, 90 (2018), no. 1, 90:10. enhanced pdf (open access)arxiv,link
  113. 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. linkarxivfull volume
  114. Altybay A., Ruzhansky M.,Tokmagambetov N., On numerical simulations of the 1D wave equation with a distributional coefficient and a source termInternational Journal of Mathematics and Physics, 28 (2017), 28-32. paperlink
  115. Mantoiu M., Ruzhansky M., Pseudo-differential operators, Wigner transform and Weyl systems on type I locally compact groupsDoc. Math., 22 (2017), 1539-1592. offprint (open access)linkarxiv
  116. Ruzhansky M., Tokmagambetov N., Wave equation for operators with discrete spectrum and irregular propagation speedArch. Ration. Mech. Anal., 226 (2017), 1161-1207. offprint (open access)arxivlink
  117. Fischer V., Ruzhansky M., Sobolev spaces on graded groups, Ann. Inst. Fourier (Grenoble)67 (2017), 1671-1723. offprint (open access)arxivlink
  118. Delgado J., Ruzhansky M., Schatten classes and traces on compact groupsMath. Res. Lett.24 (2017), 979-1003. arxiv, link
  119. Ruzhansky M., Suragan D., Hardy and Rellich inequalities, identities, and sharp remainders on homogeneous groups, Adv. Math., 317 (2017), 799-822. offprint (open access)arxivlink
  120. Akylzhanov R., Ruzhansky M., Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses, Eurasian Math. J., 8 (2017), 10-27. downloadarxiv
  121. Kanguzhin B., Ruzhansky M., Tokmagambetov N., On convolutions in Hilbert spaces, Funct. Anal. Appl., 51 (2017), 221-224. link (eng)  link (rus)
  122. Garetto C., Ruzhansky M., On C well-posedness of hyperbolic systems with multiplicities, Ann. Mat. Pura Appl., 196 (2017), 1819-1834. offprint (open access)arxivlink
  123. 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)arxivlink
  124. 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)arxivlink
  125. Ruzhansky M., Suragan D., Geometric maximizers of Schatten norms of some convolution type integral operators, J. Math. Anal. Appl., 456 (2017), 444-456. arXivlink
  126. Ruzhansky M., Suragan D., Yessirkegenov N., Extended Caffarelli-Kohn-Nirenberg inequalities and superweights for Lp-weighted Hardy inequalities, C. R. Acad. Sci. Paris355 (2017), 694-698. offprint (open access)link
  127. Ruzhansky M., Suragan D., Uncertainty relations on nilpotent Lie groups, Proc. R. Soc. A, 473 (2017), no. 2201, 20170082, 12pp. offprint (open access)arxivlink
  128. Matsuyama T., Ruzhansky M., Almost global well-posedness of Kirchhoff equation with Gevrey data, C. R. Acad. Sci. Paris355 (2017), 522-525. offprint (open access)link
  129. 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)arxivlink
  130. 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
  131. 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. arxivlink
  132. Ruzhansky M., Suragan D., Local Hardy and Rellich inequalities for sums of squares of vector fields, Adv. Diff. Equations, 22 (2017), 505-540. arxivlink
  133. 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
  134. Cardona D., Ruzhansky M., Multipliers for Besov spaces on graded Lie groups, C. R. Acad. Sci. Paris355 (2017), 400-405. offprint (open access)link
  135. 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)linkarxiv
  136. 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)arxivlink
  137. 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)arxivlink
  138. Garetto C., Ruzhansky M., On hyperbolic systems with time dependent Holder characteristics, Ann. Mat. Pura Appl.196 (2017), 155-164. offprint (open access)arxivlink
  139. 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)arxivlink
  140. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom.12 (2017), 115-140. arxivlink
  141. Delgado J., Ruzhansky M., Wang B., Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces, J. Spectr. Theory, 6 (2016), 781-791. arxivlink
  142. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Trans. Amer. Math. Soc.368 (2016), 8481-8498. arxivlink
  143. 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)arxivlink
  144. 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. arxivlink
  145. 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
  146. 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
  147. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood inequalities and Fourier multipliers on SU(2), Studia Math., 234 (2016), 1-29. offprintarxivlink
  148. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood-Paley type inequalities on compact Lie groups, Math. Notes, 100 (2016), 287-290. link1link2
  149. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615. offprint (open access)arxivlink
  150. Akylzhanov R., Ruzhansky M., Fourier multipliers and group von Neumann algebras, C. R. Acad. Sci. Paris354 (2016), 766-770. offprint (open access)arxivlink
  151. 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)arxivlink
  152. Ruzhansky M., Sugimoto M., Smoothing estimates for non-dispersive equations. Math. Ann.365 (2016), 241-269. offprint (open access)arxivlink
  153. Rozenblum G., Ruzhansky M., Suragan D., Isoperimetric inequalities for Schatten norms of Riesz potentials, J. Funct. Anal., 271 (2016), 224-239. offprint (open access)arxivlink
  154. 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)arxivlink
  155. Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158link
  156. 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. arxivlink
  157. 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
  158. Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl., 434 (2016), 1676-1689. offprint (open access)arxivlink
  159. Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and functional classes on compact Lie groups, Funct. Anal. Appl.49 (2015), 226-229. arxivlink
  160. Ruzhansky M., Wirth J., Lp Fourier multipliers on compact Lie groups, Math. Z.280 (2015), 621-642. offprint (open access)arxivlink
  161. 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)arxivlink
  162. Garetto C., Ruzhansky M., Wave equation for sums of squares on compact Lie groups, J. Differential Equations, 258 (2015), 4324-4347. offprint (open access)arxivlink
  163. Ruzhansky M., Sugimoto M., On global inversion of homogeneous maps, Bull. Math. Sci., 5 (2015), 13-18. offprint (open access)arxivlink
  164. Ruzhansky M., Sugimoto M., Trace theorems: critical cases and best constants, Proc. Amer. Math. Soc.143 (2015), 227-237. arxivlink
  165. Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes and nuclearity of boundary value problems, only on arxiv(extended to manifolds with boundary here)
  166. 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. arxivlink
  167. Ruzhansky M., Wirth J., Asymptotic behaviour of solutions to hyperbolic partial differential equationsVariable Lebesgue spaces and hyperbolic systems, 91-169, Adv. Courses Math. CRM Barcelona, Birkhauser/Springer, Basel, 2014. arxivlink
  168. Delgado J., Ruzhansky M., Kernel and symbol criteria for Schatten classes and r-nuclearity on compact manifolds, C. R. Acad. Sci. ParisSer. I 352 (2014), 779-784offprint (open access)arxivlink
  169. Dasgupta A., Ruzhansky M., Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces, Bull. Sci. Math.138 (2014), 756-782offprint (open access)arxivlink
  170. Delgado J., Ruzhansky M., Schatten classes on compact manifolds: Kernel conditions, J. Funct. Anal.267 (2014), 772-798. offprint (open access)arxivlink
  171. 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)arxivlink
  172. Ruzhansky M., Wirth J., Global functional calculus for operators on compact Lie groups, J. Funct. Anal., 267 (2014), 144-172. arxivlink
  173. 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)arxivlink
  174. Fischer V., Ruzhansky M., A pseudo-differential calculus on the Heisenberg group, C. R. Acad. Sci. Paris, Ser I, 352 (2014), 197-204offprint (open access)arxivlink
  175. Coriasco S., Ruzhansky M., Global Lp continuity of Fourier integral operators, Trans. Amer. Math. Soc., 366 (2014), 2575-2596. arxivlink
  176. Fischer V., Ruzhansky M., A pseudo-differential calculus on graded nilpotent Lie groups, in Fourier Analysis, pp. 107-132, Trends in Mathematics, Birkhauser, 2014. arxivlink
  177. Garetto C., Ruzhansky M., On weakly hyperbolic equations with analytic principal part, J. Math. Anal. Appl., 412 (2014), 1-14. offprint (open access)arxivlink
  178. Garetto C., Ruzhansky M., Weakly hyperbolic equations with non-analytic coefficients and lower order terms, Math. Ann.357(2013), 401-440offprint (open access)arxivlink
  179. Matsuyama T., Ruzhansky M., Global well-posedness of Kirchhoff systems, J. Math. Pures Appl.100 (2013), 220-240. arxivlink
  180. Matsuyama T., Ruzhansky M., Scattering for strictly hyperbolic systems with time-dependent coefficients, Math. Nachr., 286 (2013), 1191-1207. offprint (open access)arxivlink
  181. 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 PDEs129-145, Progr. Nonlinear Differential Equations Appl., 84, Birkhauser/Springer, New York, 2013. link
  182. Ruzhansky M., An open problem in complex analytic geometry arising in harmonic analysis, Math. Model. Nat. Phenom.8 (2013)230-236. arxivlink
  183. Ruzhansky M., Wirth J., On multipliers on compact Lie groups, Funct. Anal. Appl.47 (2013), 72-75.arxivlink
  184. 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.arxivlink
  185. Fischer V., Ruzhansky M., Lower bounds for operators on graded Lie groups, C. R. Acad. Sci. Paris, Ser I, 351 (2013), 13-18. arxivlink
  186. 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. arxivlink
  187. Ruzhansky M., Sugimoto M., Structural resolvent estimates and derivative nonlinear Schrodinger equations, Comm. Math. Phys., 314 (2012), 281-304. arxivlink
  188. Garetto C., Ruzhansky M., On the well-posedness of weakly hyperbolic equations with time dependent coefficients, J. Differential Equations, 253 (2012)1317-1340. arxivlink
  189. Ruzhansky M., Sugimoto M., Smoothing properties of inhomogeneous equations via canonical transforms, Rend. Sem. Mat. Univ. Politec. Torino70 (2012), 165-182paperarxivlink
  190. 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. arxivlink
  191. Ruzhansky M., Multidimensional decay in van der Corput lemma, Studia Math.208 (2012), 1-10. arxivlink
  192. 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 arxivlink
  193. Ruzhansky M., Sugimoto M., Toft J., Tomita N., Changes of variables in modulation and Wiener amalgam spaces, Math. Nachr., 284 (2011), 2078-2092. arxivlink
  194. Ruzhansky M., Wirth J., Dispersive type estimates for Fourier integrals and applications to hyperbolic systems, Disc. Cont. Dyn. Systems, Suppl. (2011), 1263-1270. arxivpaper
  195. Ruzhansky M., Turunen V., Sharp Garding inequality on compact Lie groups, J. Funct. Anal., 260 (2011), 2881-2901.arxivlink
  196. Ruzhansky M., Wirth J., Dispersive estimates for hyperbolic systems with time-dependent coefficients, J. Differential Equations251 (2011), 941-969. arxivlink
  197. Ruzhansky M., Sugimoto M., Weighted Sobolev L2 estimates for a class of Fourier integral operators, Math. Nachr., 284 (2011)1715-1738.arxivlink
  198. Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982arxivlink
  199. Coriasco S., Ruzhansky M., On the boundedness of Fourier integral operators on Lp (Rn ), C. R. Acad. Sci. ParisSer I. 348 (2010), 847-851link
  200. Ruzhansky M., Sugimoto M., Criteria for Bochners extension problem, Asymptotic Analysis, 66 (2010), 125-138.arxivlink
  201. Matsuyama T., Ruzhansky M. Asymptotic integration and dispersion for hyperbolic equations, Adv. Diff. Equations, 15 (2010), 721-756arxiv
  202. 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. offprintlink
  203. Ruzhansky M., Turunen V., On the toroidal quantization of periodic pseudo-differential operatorsNumerical Functional Analysis and Optimization, 30 (2009), 1098-1124.offprintlink
  204. Ruzhansky M. Pointwise van der Corput lemma for functions of several variables, Funct. Anal. Appl.43 (2009), 75-77link
  205. Matsuyama T., Ruzhansky M., Time decay for hyperbolic equations with homogeneous symbols, C. R. Acad. Sci. ParisSer I. 347 (2009), 915-919link
  206. 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. arxivlink
  207. 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. arxivlink
  208. 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
  209. Ruzhansky M., Wirth J., Dispersive estimates for T-dependent hyperbolic systemsRend. Sem. Mat. Univ. Pol. Torino66 (2008), 339-349. offprintlinkcorrigendum: 68 (2010), 93.
  210. Ruzhansky M. Microlocal time decays for hyperbolic equations with lower order terms, Novi Sad J. Math38 (2008), 15-26.paper
  211. Ruzhansky M. On Strichartz estimates for hyperbolic equations with constant coefficients, RIMS Kokyuroku Bessatsu B10, 177-189 (2008). offprint, link
  212. Ruzhansky, M. On some questions in complex analysis related to the theory of hyperbolic PDEs. Complex analysis and its applications313-315, OCAMI Stud., 2, Osaka Munic. Univ. Press, Osaka, 2007.
  213. 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
  214. Kamotski, I., Ruzhansky, M. Regularity properties, representation of solutions and spectral asymptotics of systems with multiplicities, Comm. Partial Differential Equations32 (2007), 1-35link
  215. 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. arxivlink
  216. 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.
  217. Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations in the critical case, Math. Ann.335 (2006), 645-673. link
  218. Ruzhansky, M., Sugimoto, M. Global L2 boundedness theorems for a class of Fourier integral operators, Comm. Partial Differential Equations31 (2006), 547-569offprintlink
  219. 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.
  220. 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
  221. Kamotski, I., Ruzhansky, M. Representation of solutions and regularity properties for weakly hyperbolic systems, 53-63, Oper. Theory Adv. Appl., 164, 2006. link
  222. Ruzhansky, M., Smith, J. Global time estimates for solutions to equations of dissipative typesJournees “Equations aux Derivees PartiellesExp. No. XII, 29 pp., Ecole Polytech., Palaiseau, 2005. paper
  223. Kamotski, I., Ruzhansky, M. Estimates and spectral asymptotics for systems with multiplicities, Funct. Anal. Appl.39 (2005), 308-310offprintlink
  224. 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.
  225. 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
  226. 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, Basel2004. link
  227. Ruzhansky, M., Sugimoto M. Decay and regularity for dispersive equations with non-polynomial symbols, Proceedings of Microlocal Analysis and Asymptotic Analysis, RIMS, Kyoto, 2004. offprintlink
  228. Ruzhansky M., Sugimoto M., Global L2 analysis of Fourier integral operators in Japanese, 2003.
  229. Ruzhansky, M., Sugimoto, M. Global L2 estimates for a class of Fourier integral operators with symbols in Besov spaces, Russian Math. Surv., 58 (2003), 1044-1046link
  230. Ruzhansky, M. Lp-distributions on symmetric spaces, Result. Math.44 (2003), 159-168link
  231. 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 PublicationsVol. 60 (2003), 151-160. link
  232. 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
  233. Ruzhansky, M. Sharp estimates for a class of hyperbolic pseudo-differential operators, Results in Math.41 (2002), 361-368. link
  234. Pushnitski, A., Ruzhansky, M. Spectral shift function of the Schrodinger operator in the large coupling constant limit, II. Positive perturbations, Comm. Partial Differential Equations27 (2002), 1373-1405. link
  235. Ruzhansky, M. On the failure of the factorization condition for non-degenerate Fourier integral operators, Proc. Amer. Math. Soc.130 (2002), 1371-1376. link
  236. Ruzhansky, M. V. Regularity of the parametrix of a problem with oblique derivative, Russ. Math. Surv., 56 (2001), 1179-1180. link
  237. Ruzhansky, M. On uniform properties of doubling measures, Proc. Amer. Math. Soc., 129 (2001), 3413-3416. link
  238. 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
  239. Ruzhansky, M. V. Estimates for Fourier integral operators with complex-valued phase functions, Russ. Math. Surv.56 (2001), 174-175. link
  240. Ruzhansky, M. On singularities of affine fibrations of certain types, Russ. Math. Surv., 55 (2000), 353-354. link
  241. Fomin, V.N., Ruzhansky, M.V. Abstract optimal linear filtering. SIAM J. Control Optim., 38 (2000),
  242. Ruzhansky, M.V. Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russ. Math. Surv.55 (2000), 93-161link
  243. Ruzhansky, M. Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization. Arch. Mat.72 (1999), 68-76. link
  244. Ruzhansky, M. On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Math. J.28 (1999), 357-362. linkpaper
  245. Ruzhansky, M. Holomorphic factorization for the solution operators for hyperbolic equations. In: Internat. Ser. Num. Math., Vol. 130 (1999), 803-811. link
  246. Ruzhansky, M. Singularities of affine fibrations. Tech.Rep. 1037, Dept.of Math., Utrecht Univ., 1997.
  247. Ruzhansky, M. Global elliptic estimates on symmetric spaces. Tech.Rep. 994, Dept.of Math., Utrecht Univ., 1997.
  248. 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).
  249. 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
  250. 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.
  251. 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).
  252. 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.
  253. Ruzhansky, M.V. Time optimal motion construction for manipulator. Proc. of the 2nd conference on automatic control, St.Petersburg, 1992.

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