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    Books

    1. Yu. M. Berezansky and A. A. Kalyuzhnyi, Harmonic analysis in hypercomplex systems, Mathematics and its Applications, vol. 434, Kluwer Academic Publishers, Dordrecht, 1998.  MathSciNet CrossRef
    2. Y. M. Berezansky, Z. G. Sheftel, and G. F. Us, Functional analysis. Vol. I, Operator Theory: Advances and Applications, vol. 85, Birkhauser Verlag, Basel, 1996.  MathSciNet
    3. Y. M. Berezansky, Z. G. Sheftel, and G. F. Us, Functional analysis. Vol. II, Operator Theory: Advances and Applications, vol. 86, Birkhauser Verlag, Basel, 1996.  MathSciNet
    4. Y. M. Berezansky and Y. G. Kondratiev, Spectral methods in infinite-dimensional analysis. Vol. 1, Mathematical Physics and Applied Mathematics, vol. 12/1, Kluwer Academic Publishers, Dordrecht, 1995.  MathSciNet CrossRef
    5. Y. M. Berezansky and Y. G. Kondratiev, Spectral methods in infinite-dimensional analysis. Vol. 2, Mathematical Physics and Applied Mathematics, vol. 12/2, Kluwer Academic Publishers, Dordrecht, 1995.  MathSciNet CrossRef
    6. Yu. M. Berezanskii and A. A. Kalyuzhnyi, Garmonicheskii analiz v giperkompleksnykh sistemakh, "Naukova Dumka", Kiev, 1992.  MathSciNet
    7. Yu. M. Berezanskii and Yu. G. Kondrat′ev, Spektralnye metody v beskonechnomernom analize, "Naukova Dumka", Kiev, 1988.  MathSciNet
    8. Yu. M. Berezanskii, Selfadjoint operators in spaces of functions of infinitely many variables, Translations of Mathematical Monographs, vol. 63, American Mathematical Society, Providence, RI, 1986.  MathSciNet
    9. Ju. M. Berezanskii, Samosopryazhennye operatory v prostranstvakh funktsii beskonechnogo chisla peremennykh, "Naukova Dumka", Kiev, 1978.  MathSciNet
    10. Ju. M. Berezans′kii, Expansions in eigenfunctions of selfadjoint operators, Translated from the Russian by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman. Translations of Mathematical Monographs, Vol. 17, American Mathematical Society, Providence, R.I., 1968.  MathSciNet
    11. Ju. M. Berezans′kii, Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, Akademija Nauk Ukrainskoi SSSR. Institut Matematiki, Izdat. "Naukova Dumka", Kiev, 1965.  MathSciNet



    Latest articles

    1. Yurij M. Berezansky, One remark concerning double-infinite Toda lattice, Methods Funct. Anal. Topology 18 (2012), no. 4, 332-342.  MathSciNet
    2. Yurij M. Berezansky, Linearization of double-infinite Toda lattice by means of inverse spectral problem, Methods Funct. Anal. Topology 18 (2012), no. 1, 19-54.  MathSciNet
    3. Yu. M. Berezansky, J. Brasche, and L. P. Nizhnik, On generalized selfadjoint operators on scales of Hilbert spaces, Methods Funct. Anal. Topology 17 (2011), no. 3, 193-198.  MathSciNet
    4. Yurij M. Berezansky and Mykola E. Dudkin, The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices, Methods Funct. Anal. Topology 16 (2010), no. 3, 203-241.  MathSciNet
    5. Yu. M. Berezansky, Spectral theory of the infinite block Jacobi type normal matrices, orthogonal polynomials on a complex domain, and the complex moment problem, Modern analysis and applications. The Mark Krein Centenary Conference. Vol. 2: Differential operators and mechanics, Oper. Theory Adv. Appl., vol. 191, Birkhauser Verlag, Basel, 2009, pp. 37-50.  MathSciNet CrossRef
    6. Yu. M. Berezansky and V. A. Tesko, An approach to a generalization of white noise analysis, Modern analysis and applications. The Mark Krein Centenary Conference. Vol. 1: Operator theory and related topics, Oper. Theory Adv. Appl., vol. 190, Birkhauser Verlag, Basel, 2009, pp. 123-139.  MathSciNet CrossRef
    7. Yurij Berezansky, The integration of double-infinite Toda lattice by means of inverse spectral problem and related questions, Methods Funct. Anal. Topology 15 (2009), no. 2, 101-136.  MathSciNet
    8. Yu. M. Berezansky, Integration of the modified double-infinite Toda lattice with the help of inverse spectral problem, Ukrain. Mat. Zh. 60 (2008), no. 4, 453-469.  MathSciNet CrossRef
    9. Yu. M. Berezansky, Ya. I. Ivasiuk, and O. A. Mokhonko, Recursion relation for orthogonal polynomials on the complex plane, Methods Funct. Anal. Topology 14 (2008), no. 2, 108-116.  MathSciNet
    10. Yu. M. Berezanskii and A. A. Mokhon′ko, Integration of some nonlinear differential-difference equations using the spectral theory of normal block-Jacobi matrices, Funktsional. Anal. i Prilozhen. 42 (2008), no. 1, 1-21, 95.  MathSciNet CrossRef
    11. Yurij M. Berezansky and Artem D. Pulemyotov, Image of a Jacobi field, Recent advances in matrix and operator theory, Oper. Theory Adv. Appl., vol. 179, Birkhauser, Basel, 2008, pp. 47-62.  MathSciNet CrossRef
    12. Yu. M. Berezansky and A. D. Pulemyotov, The spectral theory and the Wiener-Ito decomposition for the image of a Jacobi field, Ukrain. Mat. Zh. 59 (2007), no. 6, 744-763.  MathSciNet CrossRef
    13. S. Albeverio, Yu. M. Berezansky, and V. A. Tesko, A generalization of an extended stochastic integral, Ukrain. Mat. Zh. 59 (2007), no. 5, 588-617.  MathSciNet CrossRef
    14. Yu. M. Berezansky and D. A. Mierzejewski, The investigation of a generalized moment problem associated with correlation measures, Methods Funct. Anal. Topology 13 (2007), no. 2, 124-151.  MathSciNet
    15. Yurij M. Berezansky and Mykola E. Dudkin, On the complex moment problem, Math. Nachr. 280 (2007), no. 1-2, 60-73.  MathSciNet CrossRef
    16. Yurij M. Berezansky and Mykola E. Dudkin, The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices, Methods Funct. Anal. Topology 12 (2006), no. 1, 1-31.  MathSciNet
    17. Yurij M. Berezansky and Mykola E. Dudkin, The direct and inverse spectral problems for the block Jacobi type unitary matrices, Methods Funct. Anal. Topology 11 (2005), no. 4, 327-345.  MathSciNet
    18. Yu. M. Berezans′kii, V. I. Gorbachuk, and M. L. Gorbachuk, Functional analysis at the Institute of Mathematics of the National Academy of Sciences of Ukraine, Ukrain. Mat. Zh. 57 (2005), no. 5, 582-600.  MathSciNet CrossRef
    19. Yurij M. Berezansky, Eugene W. Lytvynov, and Artem D. Pulemyotov, Image of the spectral measure of a Jacobi field and the corresponding operators, Integral Equations Operator Theory 53 (2005), no. 2, 191-208.  MathSciNet CrossRef
    20. Yu. M. Berezans′kii and V. A. Tesko, An orthogonal approach to the construction of the theory of generalized functions of an infinite number of variables, and Poissonian white noise analysis, Ukrain. Mat. Zh. 56 (2004), no. 12, 1587-1615.  MathSciNet CrossRef
    21. Yu. M. Berezansky and M. E. Dudkin, The complex moment problem in the exponential form, Methods Funct. Anal. Topology 10 (2004), no. 4, 1-10.  MathSciNet
    22. Yu. M. Berezanskii, The generalized moment problem associated with correlation measures, Funktsional. Anal. i Prilozhen. 37 (2003), no. 4, 86-91.  MathSciNet CrossRef
    23. Yu. M. Berezans′kii and V. A. Tesko, Spaces of fundamental and generalized functions associated with generalized translation, Ukrain. Mat. Zh. 55 (2003), no. 12, 1587-1657.  MathSciNet CrossRef
    24. Yu. M. Berezansky, E. Lytvynov, and D. A. Mierzejewski, The Jacobi field of a Levy process, Ukrain. Mat. Zh. 55 (2003), no. 5, 706-710.  MathSciNet CrossRef
    25. Yurij M. Berezansky and Dmytro A. Mierzejewski, The construction of the chaotic representation for the gamma field, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 6 (2003), no. 1, 33-56.  MathSciNet CrossRef
    26. Yurij M. Berezansky and Johannes Brasche, Generalized selfadjoint operators and their singular perturbations, Methods Funct. Anal. Topology 8 (2002), no. 4, 1-14.  MathSciNet
    27. Yurij M. Berezansky, Some generalizations of the classical moment problem, Integral Equations Operator Theory 44 (2002), no. 3, 255-289.  MathSciNet CrossRef
    28. Yurij M. Berezansky, Pascal measure on generalized functions and the corresponding generalized Meixner polynomials, Methods Funct. Anal. Topology 8 (2002), no. 1, 1-13.  MathSciNet
    29. Yu. M. Berezanskii and D. A. Merzheevskii, The chaotic decomposition for the gamma field, Funktsional. Anal. i Prilozhen. 35 (2001), no. 4, 81-84.  MathSciNet CrossRef
    30. Yu. M. Berezansky and O. B. Chernobai, On the theory of generalized Toeplitz kernels, Ukrain. Mat. Zh. 52 (2000), no. 11, 1458-1472.  MathSciNet CrossRef
    31. Yurij M. Berezansky and Dmytro A. Mierzejewski, The structure of the extended symmetric Fock space, Methods Funct. Anal. Topology 6 (2000), no. 4, 1-13.  MathSciNet
    32. Yurij M. Berezansky, Poisson measure as the spectral measure of Jacobi field, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 3 (2000), no. 1, 121-139.  MathSciNet CrossRef
    33. Yu. M. Berezanskii, S. G. Gindikin, S. S. Kutateladze, and al. et, Selim Grigor′ evich Krei n, Uspekhi Mat. Nauk 55 (2000), no. 2(332), 125-126.  MathSciNet CrossRef
    34. Yu. M. Berezansky, The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development, Differential operators and related topics, Vol. I (Odessa, 1997), Oper. Theory Adv. Appl., vol. 117, Birkhauser, Basel, 2000, pp. 21-43.  MathSciNet
    35. Yurij M. Berezansky, Spectral theory of commutative Jacobi fields: direct and inverse problems, Operator theory and its applications (Winnipeg, MB, 1998), Fields Inst. Commun., vol. 25, Amer. Math. Soc., Providence, RI, 2000, pp. 211-224.  MathSciNet
    36. Yuri M. Berezansky, Yuri G. Kondratiev, Tobias Kuna, and Eugene Lytvynov, On a spectral representation for correlation measures in configuration space analysis, Methods Funct. Anal. Topology 5 (1999), no. 4, 87-100.  MathSciNet
    37. Yu. M. Berezansky, On the theory of commutative Jacobi fields, Methods Funct. Anal. Topology 4 (1998), no. 1, 1-31.  MathSciNet
    38. Yurij M. Berezansky, Infinite dimensional non-Gaussian analysis connected with generalized translation operators, Analysis on infinite-dimensional Lie groups and algebras (Marseille, 1997), World Sci. Publ., River Edge, NJ, 1998, pp. 22-46.  MathSciNet
    39. Yurij M. Berezansky, Construction of generalized translation operators from the system of Appell characters, Voronezh Winter Mathematical Schools, Amer. Math. Soc. Transl. Ser. 2, vol. 184, Amer. Math. Soc., Providence, RI, 1998, pp. 7-21.  MathSciNet
    40. Yu. M. Berezanskii, Infinite-dimensional Poisson analysis as an example of an analysis associated with generalized translation operators, Funktsional. Anal. i Prilozhen. 32 (1998), no. 3, 65-70.  MathSciNet CrossRef
    41. Yu. M. Berezansky and A. A. Kalyuzhnyi, Harmonic analysis in hypercomplex systems, Mathematics and its Applications, vol. 434, Kluwer Academic Publishers, Dordrecht, 1998.  MathSciNet CrossRef
    42. Yurij M. Berezansky, Commutative Jacobi fields in Fock space, Integral Equations Operator Theory 30 (1998), no. 2, 163-190.  MathSciNet CrossRef
    43. V. I. Arnol′d, Yu. M. Berezanskii, Yu. L. Daletskii, M. M. Kutateladze, M. M. Lavrent′ev, Yu. G. Reshetnyak, E. M. Semenov, and S. A. Sklyadnev, Selim Grigor′ evich Krei n (on the occasion of his eightieth birthday), Uspekhi Mat. Nauk 52 (1997), no. 6(318), 203-204.  MathSciNet CrossRef
    44. Yu. M. Berezanskii, Direct and inverse spectral problems for a Jacobi field, Algebra i Analiz 9 (1997), no. 6, 38-61.  MathSciNet
    45. Yu. M. Berezanskii, Infinite-dimensional analysis associated with generalized shift operators, Ukrain. Mat. Zh. 49 (1997), no. 3, 364-409.  MathSciNet CrossRef
    46. Yu. M. Berezans′kii, V. S. Korolyuk, S. G. Krein, Yu. O. Mitropol′s′kii, A. M. Samoilenko, A. V. Skorokhod, and I. V. Skripnik, Yur\\=\\ii\\ L′ vovich Dalets′ kii\\ (on the occasion of his seventieth birthday), Ukrain. Mat. Zh. 49 (1997), no. 3, 323-325.  MathSciNet CrossRef
    47. Yurij M. Berezansky, Generalized functions, connected with differential hypergroups, Differential equations, asymptotic analysis, and mathematical physics (Potsdam, 1996), Math. Res., vol. 100, Akademie Verlag, Berlin, 1997, pp. 32-39.  MathSciNet
    48. Yu. M. Berezansky and Yu. G. Kondratiev, Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis, Methods Funct. Anal. Topology 2 (1996), no. 2, 1-50.  MathSciNet
    49. Yurij M. Berezansky, Integration of nonlinear nonisospectral difference-differential equations by means of the inverse spectral problem, Nonlinear physics: theory and experiment (Lecce, 1995), World Sci. Publ., River Edge, NJ, 1996, pp. 11-20.  MathSciNet
    50. Yu. M. Berezanskii, Infinite-dimensional non-Gaussian analysis and generalized shift operators, Funktsional. Anal. i Prilozhen. 30 (1996), no. 4, 61-65.  MathSciNet CrossRef
    51. Yu. M. Berezans′kii, Yu. O. Romanenko, V. V. Fedorenko, S. F. Kolyada, M. B. Vereikina, and A. G. Sivak, Oleksandr Mikolai ovich Sharkovs′ kii\\ (on the occasion of his sixtieth birthday), Ukrain. Mat. Zh. 48 (1996), no. 12, 1602-1603.  MathSciNet CrossRef
    52. Yurij M. Berezansky, A generalization of white noise analysis by means of theory of hypergroups, in: Proceedings of the XXVIII Symposium on Mathematical Physics (Toru\\n, 1995), 1996.  MathSciNet CrossRef
    53. Y. M. Berezansky, Z. G. Sheftel, and G. F. Us, Functional analysis. Vol. II, Operator Theory: Advances and Applications, vol. 86, Birkhauser Verlag, Basel, 1996.  MathSciNet
    54. Y. M. Berezansky, Z. G. Sheftel, and G. F. Us, Functional analysis. Vol. I, Operator Theory: Advances and Applications, vol. 85, Birkhauser Verlag, Basel, 1996.  MathSciNet
    55. Yu. M. Berezansky, V. O. Livinsky, and E. W. Lytvynov, A generalization of Gaussian white noise analysis, Methods Funct. Anal. Topology 1 (1995), no. 1, 28-55.  MathSciNet
    56. Yurij M. Berezansky, A connection between the theory of hypergroups and white noise analysis, in: Proceedings of the XXVII Symposium on Mathematical Physics (Toru\\n, 1994), 1995.  MathSciNet CrossRef
    57. Yu. M. Berezans′kii, V. I. Gorbachuk, M. L. Gorbachuk, V. S. Korolyuk, Yu. O. Mitropol′skii, A. M. Samoilenko, and V. G. Tarasov, Leon\\=\\i d Pavlovich Nizhnik (on the occasion of his sixtieth birthday), Ukrain. Mat. Zh. 47 (1995), no. 10, 1416-1417.  MathSciNet CrossRef
    58. Yu. M. Berezanskii and Yu. G. Kondrat′ev, Non-Gaussian analysis and hypergroups, Funktsional. Anal. i Prilozhen. 29 (1995), no. 3, 51-55.  MathSciNet CrossRef
    59. Y. M. Berezansky and Y. G. Kondratiev, Spectral methods in infinite-dimensional analysis. Vol. 2, Mathematical Physics and Applied Mathematics, vol. 12/2, Kluwer Academic Publishers, Dordrecht, 1995.  MathSciNet CrossRef
    60. Y. M. Berezansky and Y. G. Kondratiev, Spectral methods in infinite-dimensional analysis. Vol. 1, Mathematical Physics and Applied Mathematics, vol. 12/1, Kluwer Academic Publishers, Dordrecht, 1995.  MathSciNet CrossRef
    61. Yu. M. Berezansky and A. A. Kalyuzhnyi, Hypercomplex systems and hypergroups: connections and distinctions, Applications of hypergroups and related measure algebras (Seattle, WA, 1993), Contemp. Math., vol. 183, Amer. Math. Soc., Providence, RI, 1995, pp. 21-44.  MathSciNet CrossRef
    62. Yu. M. Berezansky, Nuclear spaces of test functions connected with hypercomplex systems and representations of such systems, Applications of hypergroups and related measure algebras (Seattle, WA, 1993), Contemp. Math., vol. 183, Amer. Math. Soc., Providence, RI, 1995, pp. 15-20.  MathSciNet CrossRef
    63. F. T. Baranovskii, Yu. M. Berezanskii, V. V. Buldygin, Yu. L. Daletskii, V. K. Dzyadyk, V. A. Dobrovol′skii, V. G. Lozovik, Yu. A. Mitropol′skii, A. M. Samoilenko, I. V. Skrypnik, P. M. Tamrazov, and F. P. Yaremchuk, To the memory of Valentin Anatol′ evich Zmorovich, Ukrain. Mat. Zh. 46 (1994), no. 8, 1110-1111.  MathSciNet CrossRef
    64. Yurij Berezansky and Michael Shmoish, Nonisospectral flows on semi-infinite Jacobi matrices, J. Nonlinear Math. Phys. 1 (1994), no. 2, 116-146.  MathSciNet CrossRef
    65. Yu. M. Berezanskii, V. O. Livinskii, and E. V. Litvinov, A spectral approach to the analysis of white noise, Ukrain. Mat. Zh. 46 (1994), no. 3, 177-197.  MathSciNet CrossRef
    66. Yu. M. Berezans′kii, Marko Grigorovich Krei n, Ukrain. Mat. Zh. 46 (1994), no. 3, 146.  MathSciNet CrossRef
    67. Yu. M. Berezanskii, V. A. Marchenko, S. P. Novikov, and al. et, Mikhail Iosifovich Kadets (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 49 (1994), no. 3(297), 205-206.  MathSciNet CrossRef
    68. Yu. M. Berezansky, Spectral approach to white noise analysis, Dynamics of complex and irregular systems (Bielefeld, 1991), Bielefeld Encount. Math. Phys., VIII, World Sci. Publ., River Edge, NJ, 1993, pp. 131-140.  MathSciNet
    69. Yu. M. Berezansky and E. W. Lytvynov, Generalized white noise analysis connected with perturbed field operators, Dopov./Dokl. Akad. Nauk Ukra\\i ni (1993), no. 10, 15-18.  MathSciNet
    70. Yu. M. Berezanskii, On images of second quantization operators, Dopov./Dokl. Akad. Nauk Ukra\\i ni (1993), no. 11, 20-24.  MathSciNet
    71. Yu. M. Berezansky, V. O. Livinsky, E. W. Lytvynov, and G. F. Us, Generalization of Gaussian white noise analysis, Akad. Nauk Ukrainy Inst. Mat. Preprint (1993), no. 13, 71.  MathSciNet
    72. Yu. M. Berezanskii and A. A. Kalyuzhnyi, Garmonicheskii analiz v giperkompleksnykh sistemakh, ``Naukova Dumka"", Kiev, 1992.  MathSciNet
    73. Yu. M. Berezanskii, V. P. Maslov, Yu. A. Mitropol′skii, L. A. Pastur, and Ya. G. Sinai, Vladimir Aleksandrovich Marchenko (on the occasion of his seventieth birthday), Uspekhi Mat. Nauk 47 (1992), no. 4(286), 219-221.  MathSciNet CrossRef
    74. Yu. M. Berezansky and Yu. A. Konstantinov, Expansion in eigenvectors of multiparameter spectral problems, Ukrain. Mat. Zh. 44 (1992), no. 7, 901-913.  MathSciNet CrossRef
    75. Yu. M. Berezans′kii, Yu. O. Mitropol′s′kii, I. V. Ostrovskii, L. A. Pastur, O. V. Pogorelov, and Ya. E. Khruslov, Volodimir Oleksandrovich Marchenko (on the occasion of his seventieth birthday), Ukrain. Mat. Zh. 44 (1992), no. 8, 1113.  MathSciNet CrossRef
    76. Yu. M. Berezanskii, V. O. Livinskii, and E. V. Litvinov, A generalization of the Segal transformation, Dokl. Akad. Nauk Ukrainy (1992), no. 5, 16-20, 158.  MathSciNet
    77. Yu. M. Berezanskii and Yu. A. Konstantinov, Expansion in eigenvectors of multiparameter spectral problems, Funktsional. Anal. i Prilozhen. 26 (1992), no. 1, 81-83.  MathSciNet CrossRef
    78. Yu. M. Berezansky, Projection spectral theorem and its applications to the infinite-dimensional harmonic analysis, Gaussian random fields (Nagoya, 1990), Ser. Probab. Statist., vol. 1, World Sci. Publ., River Edge, NJ, 1991, pp. 114-128.  MathSciNet
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