For a more up-to-date list of publications see my new webpage at http://ruzhansky.org

Publications and preprints of Michael Ruzhansky


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. Contents and introduction. Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica, Amsterdam, 2001. vi+130 pp. ISBN: 90 6196 503 review PDF file (big)
  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. ISBN: 978-4-931469-57-0; 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. ISBN: 978-3-7643-8513-2 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. ISBN: 978-3-319-29557-2, link, download (open access book, first by Imperial College London)

 

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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. ISBN: 978-981-4313-16-2, 978-981-4313-16-5
  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. ISBN: 978-3-0348-0068-6
  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. ISBN: 978-3-0348-0453-0
  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. ISBN: 978-3-319-00124-1
  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. ISBN: 978-3-319-02549-0
  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. ISBN: 978-3-319-12147-5
  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. ISBN: 978-3-319-12576-3
  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. ISBN: 978-3-319-27466-9
  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
  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, ISBN: 978-981-10-4336-9
  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, ISBN: 978-3-319-67053-9
  14. Agarwal R., Dutta H., Ruzhansky M. (Eds.) Mathematical Analysis and Applications: Selected Topics, Wiley, 2017, 848pp. link, ISBN: 978-1-119-41434-6
  15. Ruzhansky M., Dutta H. (Eds.) Advanced Topics in Mathematical Analysis, CRC Press, Taylor & Francis, 2018, to appear. link
  16. Delgado J., Ruzhansky M. (Eds.) Analysis in Developing Countries, Springer Proceedings in Mathematics & Statistics, Springer, 2018, to appear

 

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Publications

  1. Ruzhansky M., Yessirkegenov N., Hardy, weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian manifolds with negative curvature, arxiv
  2. Garetto C., Jaeh C., Ruzhansky M., Hyperbolic systems with non-diagonalisable principal part and variable multiplicities, I. Well-posedness, arxiv
  3. Ruzhansky M., Tokmagambetov N., On very weak solutions to the wave equations for the Hamiltonian in singular electromagnetic field, Math. Notes, to appear
  4. Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, arxiv
  5. Ruzhansky M., Suragan D., A note on stability of Hardy inequalities, Ann. Funct. Anal., to appear, arxiv
  6. Ruzhansky M., Yessirkegenov N., Critical Sobolev, Gagliardo-Nirenberg, Trudinger and Brezis-Gallouet-Wainger inequalities, best constants, and ground states on graded groups, arxiv
  7. Delgado J., Ruzhansky M., Schatten-von Neumann classes of integral operators, arxiv
  8. Ruzhansky M., Sabitbek B., Suragan D., Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups, arxiv
  9. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions. II. Tensor representations, Trans. Amer. Math. Soc. Ser. B, to appear, arxiv
  10. Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, arxiv
  11. Delgado J., Ruzhansky M., Fourier multipliers in Hilbert spaces, arxiv
  12. Ruzhansky M., Suragan D., Green"s identities, comparison principle and uniqueness of positive solutions for nonlinear p-sub-Laplacian equations on stratified Lie groups, arxiv
  13. Ruzhansky M., Yessirkegenov N., Factorizations and Hardy-Rellich inequalities on stratified groups, arxiv
  14. Akylzhanov R., Majid S., Ruzhansky M., Smooth dense subalgebras and Fourier multipliers on compact quantum groups, arxiv
  15. Ruzhansky M., Suragan D., Elements of potential theory on Carnot groups, Funct. Anal. Appl., to appear
  16. Botchway L., Kibiti G., Ruzhansky M., Difference equations and pseudo-differential operators on Zn, arxiv
  17. Ruzhansky M., Taranto C., Time-dependent wave equations on graded groups, arxiv
  18. Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. arxiv
  19. 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, arxiv
  20. Ruzhansky M., Tokmagambetov N., Nonlinear damped wave equations for the sub-Laplacian on the Heisenberg group and for Rockland operators on graded Lie groups, arxiv
  21. Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, to appear, arxiv
  22. Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, arxiv
  23. Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters, arxiv
  24. Karimov E., Mamchuev M., Ruzhansky M., Non-local initial problem for second order time-fractional and space-singular equation, to appear, arxiv
  25. Ruzhansky M., Suragan D., Yessirkegenov N., Hardy-Littlewood, Bessel-Riesz, and fractional integral operators in anisotropic Morrey and Campanato spaces, arxiv
  26. Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits, arxiv
  27. Ruzhansky M., Tokmagambetov N., Convolution, Fourier analysis, and distributions generated by Riesz bases, Monatsh. Math., to appear, arxiv
  28. Cardona D., Ruzhansky M., Littlewood-Paley theorem, Nikolskii inequality, Besov spaces, Fourier and spectral multipliers on graded Lie groups, arxiv
  29. Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on compact Lie groups, J. Inst. Math. Jussieu, to appear, offprint (open access), arxiv, link
  30. Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian, arxiv
  31. Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, arxiv
  32. Ruzhansky M., Suragan D., Critical Hardy inequalities, arxiv
  33. Akylzhanov R., Ruzhansky M., Hausdorff-Young-Paley inequalities and Lp-Lq Fourier multipliers on locally compact groups, arxiv
  34. Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation, J. Anal. Math., to appear, arxiv
  35. Ruzhansky M., Sugimoto M., Global regularity properties for a class of Fourier integral operators, arxiv
  36. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, arxiv
  37. Delgado J., Ruzhansky M., The bounded approximation property of variable Lebesgue spaces and nuclearity, Math. Scand., to appear, arxiv
  38. Fischer V., Ruzhansky M., Fourier multipliers on graded Lie groups, arxiv
  39. Delgado J., Ruzhansky M., Fourier multipliers, symbols and nuclearity on compact manifolds, J. Anal. Math., to appear, arxiv

 

  1. 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), link, arxiv
  2. 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
  3. 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
  4. 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
  5. Delgado J., Ruzhansky M., Schatten classes and traces on compact groups, Math. Res. Lett., 24 (2017), 979-1003. arxiv
  6. Fischer V., Ruzhansky M., Sobolev spaces on graded groups, Ann. Inst. Fourier (Grenoble), 67 (2017), 1671-1723. offprint (open access), arxiv, link
  7. 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
  8. Kanguzhin B., Ruzhansky M., Tokmagambetov N., On convolutions in Hilbert spaces, Funct. Anal. Appl., 51 (2017), 221-224. link (eng) link (rus)
  9. Akylzhanov R., Ruzhansky M., Net spaces on lattices, Hardy-Littlewood type inequalities, and their converses, Eurasian Math. J., 8 (2017), 10-27. downloadarxiv
  10. 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
  11. 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
  12. 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
  13. Ruzhansky M., Suragan D., Geometric maximizers of Schatten norms of some convolution type integral operators, J. Math. Anal. Appl., 456 (2017), 444-456. link
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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. link, arxiv
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math. Model. Nat. Phenom., 12 (2017), 115-140. arxiv, link
  29. 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
  30. Dasgupta A., Ruzhansky M., Eigenfunction expansions of ultradifferentiable functions and ultradistributions, Trans. Amer. Math. Soc., 368 (2016), 8481-8498. arxiv, link
  31. 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
  32. 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
  33. 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.
  34. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood inequalities and Fourier multipliers on SU(2), Studia Math., 234 (2016), 1-29, offprint, arxiv, link
  35. Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood-Paley type inequalities on compact Lie groups, Math. Notes, 100 (2016), 287-290. link1, link2
  36. Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems, Int. Math. Res. Notices, (2016) 2016 (12), 3548-3615, offprint (open access), arxiv, link
  37. 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
  38. 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
  39. Ruzhansky M., Sugimoto M., Smoothing estimates for non-dispersive equations. Math. Ann., 365 (2016), 241-269, offprint (open access), arxiv, link
  40. 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
  41. 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
  42. Ruzhansky M., Suragan D., On Schatten norms of convolution-type integral operators, Russ. Math. Surv., 71 (2016),157-158, link
  43. 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
  44. 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
  45. Ruzhansky M., Suragan D., Isoperimetric inequalities for the logarithmic potential operator, J. Math. Anal. Appl., 434 (2016), 1676-1689, offprint (open access), arxiv, link
  46. Nursultanov E., Ruzhansky M., Tikhonov S., Nikolskii inequality and functional classes on compact Lie groups, Funct. Anal. Appl., 49 (2015), 226-229, arxiv, link
  47. Ruzhansky M., Wirth J., Lp Fourier multipliers on compact Lie groups, Math. Z., 280 (2015), 621-642, offprint (open access), arxiv, link
  48. 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
  49. 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
  50. Ruzhansky M., Sugimoto M., On global inversion of homogeneous maps, Bull. Math. Sci., 5 (2015), 13-18, offprint (open access), arxiv, link
  51. Ruzhansky M., Sugimoto M., Trace theorems: critical cases and best constants, Proc. Amer. Math. Soc., 143 (2015), 227-237, arxiv, link
  52. Delgado J., Ruzhansky M., Tokmagambetov N., Schatten classes and nuclearity of boundary value problems, only on arxiv (extended to manifolds with boundary here)
  53. 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
  54. 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
  55. 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
  56. 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
  57. Delgado J., Ruzhansky M., Schatten classes on compact manifolds: Kernel conditions, J. Funct. Anal., 267 (2014), 772-798, offprint (open access), arxiv, link
  58. 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
  59. Ruzhansky M., Wirth J., Global functional calculus for operators on compact Lie groups, J. Funct. Anal., 267 (2014), 144-172, arxiv, link
  60. Ruzhansky M., Turunen V., Wirth J., Hormander 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
  61. 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
  62. Coriasco S., Ruzhansky M., Global Lp continuity of Fourier integral operators, Trans. Amer. Math. Soc., 366 (2014), 2575-2596, arxiv, link
  63. 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
  64. 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
  65. 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
  66. Matsuyama T., Ruzhansky M., Global well-posedness of Kirchhoff systems, J. Math. Pures Appl., 100 (2013), 220-240, arxiv, link
  67. Matsuyama T., Ruzhansky M., Scattering for strictly hyperbolic systems with time-dependent coefficients, Math. Nachr., 286 (2013), 1191-1207. offprint (open access), arxiv, link
  68. Gramchev T., Ruzhansky M. Cauchy problem for some 2x2 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
  69. Ruzhansky M., An open problem in complex analytic geometry arising in harmonic analysis, Math. Model. Nat. Phenom., 8 (2013), 230-236, arxiv, link
  70. Ruzhansky M., Wirth J., On multipliers on compact Lie groups, Funct. Anal. Appl., 47 (2013), 72-75, arxiv, link
  71. 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
  72. 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
  73. 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
  74. Ruzhansky M., Sugimoto M., Structural resolvent estimates and derivative nonlinear Schrodinger equations, Comm. Math. Phys., 314 (2012), 281-304, arxiv, link
  75. 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
  76. 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
  77. 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
  78. Ruzhansky M., Multidimensional decay in van der Corput lemma, Studia Math., 208 (2012), 1-10, arxiv, link
  79. 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
  80. 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
  81. 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
  82. Ruzhansky M., Turunen V., Sharp Garding inequality on compact Lie groups, J. Funct. Anal., 260 (2011), 2881-2901. arxiv, link
  83. Ruzhansky M., Wirth J., Dispersive estimates for hyperbolic systems with time-dependent coefficients, J. Differential Equations, 251 (2011), 941-969, arxiv, link
  84. Ruzhansky M., Sugimoto M., Weighted Sobolev L2 estimates for a class of Fourier integral operators, Math. Nachr., 284 (2011), 1715-1738. arxiv, link
  85. Ruzhansky M., Turunen V., Quantization of pseudo-differential operators on the torus, J. Fourier Anal. Appl., 16 (2010), 943-982. arxiv, link
  86. 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
  87. Ruzhansky M., Sugimoto M., Criteria for Bochners extension problem, Asymptotic Analysis, 66 (2010), 125-138, arxiv, link
  88. Matsuyama T., Ruzhansky M. Asymptotic integration and dispersion for hyperbolic equations, Adv. Diff. Equations, 15 (2010), 721-756. arxiv
  89. 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.
  90. Ruzhansky M., Turunen V., On the toroidal quantization of periodic pseudo-differential operators, Numerical Functional Analysis and Optimization, 30 (2009), 1098-1124. offprint, link
  91. Ruzhansky M. Pointwise van der Corput lemma for functions of several variables, Functional Analysis and its Applications, 43 (2009), 75-77. link
  92. Matsuyama T., Ruzhansky M., Time decay for hyperbolic equations with homogeneous symbols, C. R. Acad. Sci. Paris, Ser I. 347 (2009), 915-919. link
  93. 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
  94. 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
  95. 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
  96. Ruzhansky M., Wirth J., Dispersive estimates for T-dependent hyperbolic systems, Rend. Sem. Mat. Univ. Pol. Torino, 66 (2008), 339-349. corrigendum: 68 (2010), 93.
  97. Ruzhansky M. Microlocal time decays for hyperbolic equations with lower order terms, Novi Sad J. Math, 38 (2008), 15-26. paper
  98. Ruzhansky M. On Strichartz estimates for hyperbolic equations with constant coefficients, RIMS Kokyuroku Bessatsu B10, 177-189 (2008).
  99. 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.
  100. 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
  101. 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
  102. 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
  103. Ruzhansky, M. On some properties of Galerkin approximations of solutions to Fokker-Planck equations, in Proceedings of the 4th International 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.
  104. Ruzhansky, M., Sugimoto, M. A smoothing property of Schrodinger equations in the critical case, Math. Ann., 335 (2006), 645-673. link
  105. 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
  106. 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.
  107. Ruzhansky, M., Sugimoto, M. Global calculus of Fourier integral operators, weighted estimates, and applications to global analysis of hyperbolic equations, in Operator Theory: Advances and Applications, Vol. 164, 65-78, 2006. link
  108. Kamotski, I., Ruzhansky, M. Representation of solutions and regularity properties for weakly hyperbolic systems, in Operator Theory: Advances and Applications, Vol. 164, 53-63, 2006. link
  109. 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
  110. Kamotski, I., Ruzhansky, M. Estimates and spectral asymptotics for systems with multiplicities, Funct. Anal. Appl., 39 (2005), 308-310. offprint, link
  111. 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.
  112. 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
  113. 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
  114. Ruzhansky, M., Sugimoto M. Decay and regularity for dispersive equations with non-polynomial symbols, Proceedings of Microlocal Analysis and Asymptotic Analysis, RIMS, Kyoto, 2004.
  115. 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
  116. Ruzhansky, M. Lp-distributions on symmetric spaces, Result. Math. 44 (2003), 159-168. link
  117. 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
  118. 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
  119. Ruzhansky, M. Sharp estimates for a class of hyperbolic pseudo-differential operators, Results in Math., 41 (2002), 361-368. link
  120. 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
  121. Ruzhansky, M. On the failure of the factorization condition for non-degenerate Fourier integral operators, Proc. Amer. Math. Soc., 130 (2002), 1371-1376. link
  122. Ruzhansky, M. V. Regularity of the parametrix of a problem with oblique derivative, Russ. Math. Surv., 56 (2001), 1179-1180. link
  123. Ruzhansky, M. On uniform properties of doubling measures, Proc. Amer. Math. Soc., 129 (2001), 3413-3416. link
  124. 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
  125. Ruzhansky, M. V. Estimates for Fourier integral operators with complex-valued phase functions, Russ. Math. Surv., 56 (2001), 174-175. link
  126. Ruzhansky, M. On singularities of affine fibrations of certain types, Russ. Math. Surv., 55 (2000), 353-354. link
  127. Fomin, V.N., Ruzhansky, M.V. Abstract optimal linear filtering. SIAM J. Control Optim, 38 (2000), 1334-1352. link
  128. Ruzhansky, M.V. Singularities of affine fibrations in the regularity theory of Fourier integral operators. Russian Math. Surveys, 55 (2000), 93-161. link
  129. Ruzhansky, M. Analytic Fourier integral operators, Monge-Ampere equation and holomorphic factorization. Arch. Mat. 72 (1999), 68-76. Abstract, offprint, link
  130. Ruzhansky, M. On the sharpness of Seeger-Sogge-Stein orders. Hokkaido Math. J. 28 (1999), 357-362. link, paper
  131. Ruzhansky, M. Holomorphic factorization for the solution operators for hyperbolic equations. In: Internat. Ser. Num. Math., Vol. 130 (1999), 803-811. link
  132. Ruzhansky, M. Singularities of affine fibrations. Tech.Rep. 1037, Dept.of Math., Utrecht Univ., 1997.
  133. Ruzhansky, M. Global elliptic estimates on symmetric spaces. Tech.Rep. 994, Dept.of Math., Utrecht Univ., 1997
  134. 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).
  135. 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
  136. 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.
  137. 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).
  138. 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.
  139. Ruzhansky, M.V. Time optimal motion construction for manipulator. Proc. of the 2nd conference on automatic control, St.Petersburg, 1992.