Edit Profile (opens in new tab) Berezans’kyĭ, Yuriĭ Makarovych (b. 1925 d. 2019) Co-Author Distance Author ID: berezanskii.yurii-makarovich Published as: Berezanskij, Yu. M.; Berezanskiĭ, Yu. M.; Berezansky, Yu. M.; Berezansky, Yurij M.; Berezanskij, J. M.; Berezans’kyi, Yu. M.; Berezansky, Yurij; Berezanskyj, Yu. M.; Berezans’kij, Yu. M.; Berezans’kyj, Yu. M.; Berezanskii, Yu. M.; Berezanskii, Yu M.; Beresans’kij, Yu. M.; Berezans’kiĭ, Yu. M.; Berezhanskij, Yu. M.; Beresanskij, Yu. M.; Beresanskiy, Yu. M.; Berezanskiy, Yu. M.; Berezansky, Yuri M.; Berezanski, Ju. M.; Berezansky, Y. M.; Berezansky, Yu. more...less Further Spellings: Berezansky, Yuriy Makarovich; Березанский Юрий Макарович; Березанський Юрій Макарович External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 233 Publications since 1950, including 13 Books 14 Contributions as Editor Biographic References: 6 Publications Co-Authors: 135 Co-Authors with 131 Joint Publications 4,465 Co-Co-Authors all top 5 Co-Authors 115 single-authored 16 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 10 Gorbachuk, Myroslav L’vovych 10 Gorbachuk, Valentyna Ivanivna 9 Kalyuzhny, A. A. 9 Korolyuk, Volodymyr Semenovych 9 Marchenko, Vladimir Aleksandrovich 8 Kondrat’yev, Yuriĭ Grygorovych 8 Samoĭlenko, Anatoliĭ Mykhaĭlovych 7 Levin, Boris Yakovlevich 7 Samoĭlenko, Yuriĭ Stefanovych 7 Us, Georgi F. 6 Adamyan, Vadym Movsesovych 6 Dudkin, Mykola E. 6 Kreĭn, Selim Grigor’evich 5 Gali, I. M. 5 Khruslov, Eugene Yakovlevich 5 Kochubeĭ, Anatoliĭ Naumovych 5 Lukovsky, Ivan Oleksandrovych 5 Lytvynov, Eugene W. 5 Mierzejewski, Dmytro A. 5 Novikov, Sergeĭ Petrovich 5 Pastur, Leonid Andreevich 5 Perestyuk, Mykola Oleksiĭovych 5 Rofe-Beketov, Fedor Semenovich 5 Samoĭlenko, Valeriĭ Grygorovych 5 Tesko, Volodymyr A. 4 Bogolyubov, Nikolaĭ Nikolaevich 4 Boĭchuk, Oleksandr Andriĭovych 4 Makarov, Volodymyr Leonidovych 4 Maslov, Klavdii V. 4 Ostrovskiĭ, Iosif Vladimirovich 4 Roĭtberg, Yakov Abramovich 4 Sharkovs’kyĭ, Oleksandr Mykolaĭovych 3 Iokhvidov, I. S. 3 Kolmogorov, Andreĭ Nikolaevich 3 Kreĭn, Mark Grigor’evich 3 Mykhaĭlets’, Volodymyr Andriĭovych 3 Nikitin, A. H. 3 Pogorelov, Alekseĭ Vasil’evich 3 Pulemyotov, Artem D. 3 Semënov, Evgeniĭ Mikhaĭlovich 3 Shmoĭsh, M. E. 3 Sinaĭ, Yakov Grigor’evich 2 Akhiezer, Naum Il’ich 2 Aleksandryan, Rafael’ Aramovich 2 Arov, Damir Zyamovich 2 Brasche, Johannes Friedemann 2 Dalets’kyĭ, Yuriĭ L’vovych 2 Drozd, Yuriĭ Anatoliĭovych 2 Gekhtman, Mikhaèl I. 2 Gel’fand, Israil’ Moiseevich 2 Gohberg, Israel 2 Il’in, Vladimir Aleksandrovich 2 Konstantinov, Aleksandr Yu. 2 Kostyuchenko, Anatolii Gordeevich 2 Kutateladze, Semën Samsonovich 2 Langer, Heinz 2 Lassner, Gerd 2 Lavrent’ev, Mikhail Alekseevich 2 Levitan, Boris Moiseevich 2 Livinsky, V. O. 2 Maslov, Viktor Pavlovich 2 Mikhajlyuk, T. A. 2 Nizhnik, Leonid Pavlovich 2 Ostrovskyĭ, Vasyl L. 2 2 Parasyuk, Igor O. 2 Popov, Gennadiĭ Yakovlevich 2 Portenko, Mykola Ivanovych 2 Reshetnyak, Yuriĭ Grigor’evich 2 Sharko, Volodymyr Vasil’ovych 2 Shifrin, S. N. 2 Sklyadnev, S. A. 2 Skrypnyk, Igor Volodymyrovych 2 Yakovlev, Vladislav S. 2 Zakharov, Vladimir Evgen’evich 2 Zhernakov, N. V. 1 Albeverio, Sergio A. 1 Aliev, Araz Rafig oglu 1 Antonyuk, Oleksandra Viktorivna 1 Arnol’d, Vladimir Igorevich 1 Aslanov, Gamidulla I. 1 Baranovich, Yu. S. 1 Belopol’skaya, Yana Isaevna 1 Bogdansky, Yu. V. 1 Brusentsev, A. G. 1 Chernobai, O. B. 1 Faddeev, Lyudvig Dmitrievich 1 Fedorenko, Volodymyr V. 1 Gadjiev, Akif Djafar oglu 1 Gerasimenko, Viktor Ivanovich 1 Gindikin, Simon Grigorevich 1 Gubreev, Gennadiĭ Mykhaĭlovych 1 Guseinov, R. V. 1 Horbachuk, M. L. 1 Huseynov, Hidayat Mahammad 1 Hutlyans’kyi, V. Ya. 1 Ivasiuk, Ivan Ya. 1 Kolyada, Sergiǐ Fedorovych 1 Korneĭchuk, Nikolaĭ Pavlovich ...and 38 more Co-Authors all top 5 Serials 38 Ukraïns’kyĭ Matematychnyĭ Zhurnal 29 Ukrainian Mathematical Journal 22 Methods of Functional Analysis and Topology 14 Russian Mathematical Surveys 10 Soviet Mathematics. Doklady 10 Doklady Akademii Nauk SSSR. Novaya Seriya 9 Uspekhi Matematicheskikh Nauk [N. S.] 9 Functional Analysis and its Applications 5 Doklady Akademii Nauk SSSR 5 Reports on Mathematical Physics 5 Translations. Series 2. American Mathematical Society 4 Dopovidi Akademiï Nauk Ukraïns’koï RSR. Seriya A 3 Integral Equations and Operator Theory 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Trudy Moskovskogo Matematicheskogo Obshchestva 3 Operator Theory: Advances and Applications 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Transactions of the Moscow Mathematical Society 2 Selecta Mathematica Sovietica 2 Dopovidi Akademiï Nauk Ukraïni 2 U Sviti Matematyky 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Translations of Mathematical Monographs 1 Mathematische Nachrichten 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 St. Petersburg Mathematical Journal 1 Journal of Nonlinear Mathematical Physics 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Mathematics and its Applications (Dordrecht) 1 Mathematical Physics and Applied Mathematics 1 Nonlinear Oscillations 1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 1 Studia Mathematica, Seria Specjalna all top 5 Fields 110 Operator theory (47-XX) 65 Functional analysis (46-XX) 43 History and biography (01-XX) 33 Partial differential equations (35-XX) 29 Probability theory and stochastic processes (60-XX) 16 Measure and integration (28-XX) 14 General and overarching topics; collections (00-XX) 13 Quantum theory (81-XX) 12 Integral transforms, operational calculus (44-XX) 11 Abstract harmonic analysis (43-XX) 9 Ordinary differential equations (34-XX) 6 Difference and functional equations (39-XX) 5 Topological groups, Lie groups (22-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 688 times in 558 Documents Cited by ▼ Year ▼ Expansions in eigenfunctions of selfadjoint operators. Translated from the Russian by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman. Zbl 0157.16601 Berezanskiĭ, Yu. M. 162 1968 Expansions in eigenfunctions of selfadjoint operators. (Разложение по собственным функциям самосопряженных операторов.) Zbl 0142.37203 Berezanskiĭ, Yu. M. 85 1965 Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev. Zbl 0859.46001 Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F. 36 1996 The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098 Berezanskij, Yu. M. 31 1986 Non-Gaussian analysis and hypergroups. Zbl 0853.43014 Berezansky, Yu. M.; Kondratiev, Yu. G. 30 1995 Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001 Berezanskij, Yu. M.; Kondratiev, Yu. G. 18 1995 Harmonic analysis in hypercomplex systems. Transl. from the Russian by P. Malyshev. Compl. rev. and updated transl. Compl. rev. and updated transl. Zbl 0894.43007 Berezansky, Yu. M.; Kalyuzhnyi, A. A. 16 1998 On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050 Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene 13 1999 Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem. Zbl 0601.39004 Berezanskiĭ, Yu. M.; Gekhtman, M. I.; Shmoĭsh, M. E. 13 1986 Selfadjoint operators in spaces of functions of infinitely many variables. Transl. from the Russian by H. H. McFaden, ed. by Ben Silver. Zbl 0596.47019 Berezanskij, Yu. M. 12 1986 Commutative Jacobi fields in Fock space. Zbl 0896.60019 Berezansky, Yurij M. 12 1998 Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations. Zbl 0736.34070 Berezanskij, Yu. M.; Gekhtman, M. I. 12 1990 Functional analysis. A course of lectures. Textbook. (Funktsional’nyj analiz. Kurs lektsij. Uchebnoe posobie.) Zbl 0704.46001 Berezanskij, Yu. M.; Us, G. F.; Sheftel’, Z. G. 11 1990 Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis. Zbl 0921.43003 Berezansky, Yu. M.; Kondratiev, Yu. G. 11 1996 Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003 Berezanskij, Yu. M. 11 1985 Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137 Berezansky, Yurij; Shmoish, Michael 10 1994 The Jacobi field of a Lévy process. Zbl 1038.47046 Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A. 8 2003 On eigenfunction expansion for self-adjoint operators. Zbl 0092.12401 Berezanskij, Yu. M. 8 1959 The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 The projection spectral theorem. Zbl 0577.47019 Berezanskiĭ, Yu. M. 8 1984 Spectral methods in infinite dimensional analysis. Ed. by M. L. Gorbachuk. (Spektral’nye metody v beskonechnomernom analize.) Zbl 0707.47001 Berezanskij, Yu. M.; Kondrat’ev, Yu. G. 7 1988 The construction of the chaotic representation for the gamma field. Zbl 1048.60053 Berezansky, Yurij M.; Mierzejewski, Dmytro A. 7 2003 Projective spectral theorem. Zbl 0589.47020 Berezanskij, Yu. M. 7 1985 Positive definite functions of infinitely many variables in a layer. Zbl 0255.46038 Berezanskiĭ, Yu. M.; Gali, I. M. 6 1973 The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices. Zbl 1094.47025 Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 A generalization of Gaussian white noise analysis. Zbl 0870.60037 Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W. 5 1995 Expansion in eigenfunctions of families of commutating operators and representations of commutation relations. Zbl 0665.47017 Berezanskij, Yu. M.; Ostrovskij, V. L.; Samojlenko, Yu. S. 4 1988 Nuclear function spaces on the base of a hypercomplex system. Zbl 0533.46012 Berezanskiĭ, Yu. M.; Kalyuzhnyj, A. A. 4 1983 Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009 Berezansky, Yu. M.; Kalyuzhnyi, A. A. 4 1995 Some generalizations of the classical moment problem. Zbl 1031.47010 Berezansky, Yurij M. 4 2002 The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501 Berezanskij, J. M. 4 1964 On the complex moment problem. Zbl 1116.44003 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 On the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations. Zbl 0502.47023 Berezanskij, Yu. M.; Samojlenko, V. G. 3 1981 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002 Berezansky, Yu. M. 3 2000 On the theory of generalized Toeplitz kernels. Zbl 1049.47029 Berezanskyj, Yu. M.; Chernobai, O. B. 3 2000 Spaces with negative norms. Zbl 0119.09903 Berezanskij, Yu. M. 3 1963 Entwicklung nach verallgemeinerten Eigenvektoren und Integraldarstellung positiv definiter Kerne in Form eines kontinuierlichen Integrals. Zbl 0167.43001 Berezanskij, J. M. 3 1968 Continuous algebra. (Kontinuierliche Algebren.) Zbl 0037.07702 Berezanskiĭ, Yu. M.; Kreĭn, S. G. 3 1950 Ein verallgemeinertes symmetrisches Potenz-Momentenproblem. Zbl 0217.44003 Berezanskiĭ, Yu. M.; Shifrin, S. N. 3 1971 Eigenfunction expansions of operators admitting separation of an infinite number of variables. Zbl 0317.47012 Berezanskij, Yu. M.; Us, G. F. 3 1975 Infinite-dimensional analysis related to generalized translation operators. Zbl 0887.28007 Berezanskij, Yu. M. 3 1997 A generalization of white noise analysis by means of theory of hypergroups. Zbl 0887.60047 Berezansky, Yurij M. 3 1996 Über verallgemeinerte fastperiodische Funktionen und Folgen, die mit Differential- und Differenzengleichungen zusammenhängen. Zbl 0050.31002 Berezanskij, Yu. M. 3 1953 Poisson measure as the spectral measure of Jacobi field. Zbl 1040.47501 Berezansky, Yurij M. 3 2000 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022 Berezanskyj, Yu. M.; Korolyuk, V. S.; Krein, S. G.; Mitropolskij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Skrypnik, I. V. 2 1997 Spaces of test and generalized functions related to generalized translation operators. Zbl 1080.46027 Berezans’kyi, Yu. M.; Tesko, V. A. 2 2003 A theorem on homeomorphisms and the Green’s function for general elliptic boundary problems. Zbl 0206.11302 Berezanskiĭ, Yu. M.; Rojtberg, Ya. A. 2 1969 The structure of the extended symmetric Fock space. Zbl 0973.47025 Berezansky, Yurij M.; Mierzejewski, Dmytro A. 2 2000 Generalized selfadjoint operators and their singular perturbations. Zbl 1074.47505 Berezansky, Yurij M.; Brasche, Johannes 2 2002 The chaotic decomposition for the gamma field. Zbl 0994.60068 Berezansky, Yu. M.; Mierzejewski, D. A. 2 2001 Über den Eindeutigkeitssatz im inversen Problem der Spektralanalyse für die Schrödinger-Gleichung. Zbl 0086.08402 Berezanskij, Yu. M. 2 1958 Hypercomplex systems with continuous basis. Zbl 0100.32206 Berezanskij, Yu. M.; Krejn, S. G. 2 1960 Integral representation of positive definite functionals of Wightman type. (Integraldarstellung positiv definiter Funktionale vom Wightmanschen Typus.) Zbl 0149.35001 Berezanskiĭ, Yu. M. 2 1967 A theorem on homeomorphisms and Green’s function for general elliptic boundary problems. (Ein Satz über die Homöomorphismen und die Greensche Funktion für allgemeine elliptische Randwertprobleme.) Zbl 0163.34803 Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 2 1967 On positive definite functions of infinitely many variables. Zbl 0261.47012 Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A. 2 1972 Nuclear spaces of functions of infinitely many variables. Zbl 0289.46025 Berezanskiĭ, Yu. M.; Samojlenko, Yu. S. 2 1974 Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices. Zbl 1168.34038 Berezansky, Yu. M.; Mokhon’ko, A. A. 2 2008 The complex moment problem in the exponential form. Zbl 1077.47014 Berezansky, Yu. M.; Dudkin, M. E. 2 2004 Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500 Berezanskij, Yu. M.; Konstantinov, A. Yu. 2 1992 The expansion in simultaneous generalized eigenvectors of an arbitrary family of commuting normal operators. Zbl 0421.47007 Berezanski, Ju. M. 2 1978 Self-adjointness conditions for elliptic operators with infinitely many variables. Zbl 0421.47027 Berezanskij, Yu. M.; Mikhajlyuk, T. A. 2 1977 Hyperkomplexe Systeme mit kompakter Basis. Zbl 0045.38302 Berezanskiĭ, Yu. M.; Kreĭn, S. G. 2 1951 Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem. Zbl 1374.47025 Berezansky, Yu. M. 2 2016 Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009 Berezansky, Yurij M. 2 2002 Hypercomplex systems with locally compact bases. Zbl 0632.43003 Berezanskij, Yu. M.; Kalyuzhnij, A. A. 1 1985 Stochastic operator integrals. Zbl 0635.60060 Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1987 On the expansion of positive functionals on commutative nuclear *- algebras. Zbl 0637.46059 Berezanskij, Yu. M.; Lassner, G.; Yakovlev, V. S. 1 1987 Application of functional analytic methods to problems of mathematical physics. Collection of scientific works. (Primenenie metodov funktsional’nogo analiza v zadachakh matematicheskoj fiziki. Sbornik nauchnykh trudov). Zbl 0639.00017 1 1987 Bilinear forms and Hilbert riggings. Zbl 0483.47017 Berezanskij, Yu. M. 1 1980 Aleksandr Nikolaevich Sharkovsky (on his 60th birthday). Zbl 0939.01024 Berezanskij, Yu. M.; Romanenko, E. Yu.; Fedorenko, V. V.; Kolyada, S. F.; Vereikina, M. B.; Sivak, A. G. 1 1996 On the theory of commutative Jacobi fields. Zbl 0941.47025 Berezanskij, Yu. M. 1 1998 Integration of nonlinear nonisospectral difference-differential equations by means of the inverse spectral problem. Zbl 0941.34514 Berezansky, Yurij M. 1 1996 Construction of generalized translation operators from the system of Appell characters. Zbl 0917.46039 Berezansky, Yurij M. 1 1998 Projection spectral theorem and its applications to the infinite- dimensional harmonic analysis. Zbl 0815.60002 Berezansky, Yu. M. 1 1991 Spectral theory of the infinite block Jacobi type normal matrices, orthogonal polynomials on a complex domain, and the complex moment problem. Zbl 1179.44003 Berezansky, Yu. M. 1 2009 On an eigenfunction expansion for selfadjoint operators. Zbl 0206.13404 Berezanskiĭ, Yu. M. 1 1970 Spectral theory of commutative Jacobi fields: Direct and inverse problems. Zbl 0977.47016 Berezansky, Yurij M. 1 2000 Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079 Berezansky, Yurij M. 1 1998 Generalization of a Bochner’s theorem on eigenfunctions expansion for partial differential equations. Zbl 0072.31203 Berezanskij, Yu. M. 1 1956 Entwicklung nach Eigenfunktionen voll selbstadjungierten Operatoren. Zbl 0079.13604 Berezanskij, Yu. M. 1 1957 On the boundary value problems for general partial differential operators. Zbl 0088.07103 Berezanskij, Yu. M. 1 1958 Über die Fortsetzung positiv difiniter Funktionen zweier Veränderlicher. Zbl 0156.37801 Berezanskij, J. M.; Gorbachuk, M. L. 1 1965 On the smoothness up to the boundary of the region of the kernel of the resolvent of an elliptic operator. (Über die Glattheit bis zum Rande der Gebiete des Kernes der Resolvente eines elliptischen Operators.) Zbl 0173.38804 Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 1 1963 An expansion in terms of generalized eigenvectors and an integral representation for positive definite kernels in the form of a continual integral. Zbl 0176.43603 Berezanskij, J. M. 1 1969 Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007 Berezanskiĭ, Yu. M.; Kolmogorov, A. N.; Krein, M. G.; Levin, B. Ya.; Levitan, B. M.; Marchenko, V. A. 1 1971 Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063 Berezanskiĭ, Yu. M.; Gali, I. M. 1 1972 Selbstadjungiertheit elliptischer Operatoren mit einer unendlichen Anzahl von Variablen. Zbl 0318.47027 Berezanskij, Yu. M. 1 1975 Self-adjointness of elliptic operators with an infinite number of variables. Zbl 0327.47020 Berezanskij, Yu. M. 1 1976 Recursion relation for orthogonal polynomials on the complex plane. Zbl 1164.42017 Berezansky, Yu. M.; Ivasiuk, I. Ya.; Mokhonko, O. A. 1 2008 Direct and inverse problems of the spectral theory of differential operators. Collection of scientific works. (Прямые и обратные задачи спектральной теории дифференциальных операторов. Сборник научных трудов.) Zbl 0575.00013 1 1985 Nonisospectral nonlinear difference equations. Zbl 0723.39006 Berezanskiĭ, Yu. M.; Shmoĭsh, M. E. 1 1990 A spectral approach to quantum stochastic integrals. Zbl 0747.60054 Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1989 On eigenvector expansion of multiparameter spectral problems. Zbl 0895.47013 Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 Harmonic analysis in hypercomplex systems. (Garmonicheskij analiz v giperkompleksnykh sistemakh.) Zbl 0854.43009 Berezanskij, Yu. M.; Kalyuzhnyj, A. A. 1 1992 Infinite-dimensional non-Gaussian analysis and generalized translation operators. Zbl 0957.46031 Berezanskij, Yu. M. 1 1996 Spectral representations of solutions of some classes of functional and differential equations. Zbl 0391.47009 Berezanskij, Yu. M. 1 1978 The investigation of a generalized moment problem associated with correlation measures. Zbl 1144.47305 Berezansky, Yu. M.; Mierzejewski, D. A. 1 2007 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem. Zbl 1374.47025 Berezansky, Yu. M. 2 2016 Anatolii Mykhailovych Samoilenko (on his 75th birthday). Zbl 1275.01007 Berezans’kyi, Yu. M.; Boichuk, O. A.; Horbachuk, M. L.; Drozd, Yu. A.; Korolyuk, V. S.; Lukovs’kyi, I. O.; Makarov, V. L.; Nikitin, A. H.; Perestyuk, M. O.; Portenko, M. I.; Samoilenko, Yu. S.; Trokhymchuk, Yu. Yu.; Sharko, V. V.; Sharkovs’kyi, O. M. 1 2013 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 Spectral theory of the infinite block Jacobi type normal matrices, orthogonal polynomials on a complex domain, and the complex moment problem. Zbl 1179.44003 Berezansky, Yu. M. 1 2009 Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices. Zbl 1168.34038 Berezansky, Yu. M.; Mokhon’ko, A. A. 2 2008 Recursion relation for orthogonal polynomials on the complex plane. Zbl 1164.42017 Berezansky, Yu. M.; Ivasiuk, I. Ya.; Mokhonko, O. A. 1 2008 On the complex moment problem. Zbl 1116.44003 Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 The investigation of a generalized moment problem associated with correlation measures. Zbl 1144.47305 Berezansky, Yu. M.; Mierzejewski, D. A. 1 2007 The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices. Zbl 1094.47025 Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024 Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 The complex moment problem in the exponential form. Zbl 1077.47014 Berezansky, Yu. M.; Dudkin, M. E. 2 2004 The Jacobi field of a Lévy process. Zbl 1038.47046 Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A. 8 2003 The construction of the chaotic representation for the gamma field. Zbl 1048.60053 Berezansky, Yurij M.; Mierzejewski, Dmytro A. 7 2003 Spaces of test and generalized functions related to generalized translation operators. Zbl 1080.46027 Berezans’kyi, Yu. M.; Tesko, V. A. 2 2003 Some generalizations of the classical moment problem. Zbl 1031.47010 Berezansky, Yurij M. 4 2002 Generalized selfadjoint operators and their singular perturbations. Zbl 1074.47505 Berezansky, Yurij M.; Brasche, Johannes 2 2002 Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009 Berezansky, Yurij M. 2 2002 The chaotic decomposition for the gamma field. Zbl 0994.60068 Berezansky, Yu. M.; Mierzejewski, D. A. 2 2001 The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002 Berezansky, Yu. M. 3 2000 On the theory of generalized Toeplitz kernels. Zbl 1049.47029 Berezanskyj, Yu. M.; Chernobai, O. B. 3 2000 Poisson measure as the spectral measure of Jacobi field. Zbl 1040.47501 Berezansky, Yurij M. 3 2000 The structure of the extended symmetric Fock space. Zbl 0973.47025 Berezansky, Yurij M.; Mierzejewski, Dmytro A. 2 2000 Spectral theory of commutative Jacobi fields: Direct and inverse problems. Zbl 0977.47016 Berezansky, Yurij M. 1 2000 On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050 Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene 13 1999 Harmonic analysis in hypercomplex systems. Transl. from the Russian by P. Malyshev. Compl. rev. and updated transl. Compl. rev. and updated transl. Zbl 0894.43007 Berezansky, Yu. M.; Kalyuzhnyi, A. A. 16 1998 Commutative Jacobi fields in Fock space. Zbl 0896.60019 Berezansky, Yurij M. 12 1998 On the theory of commutative Jacobi fields. Zbl 0941.47025 Berezanskij, Yu. M. 1 1998 Construction of generalized translation operators from the system of Appell characters. Zbl 0917.46039 Berezansky, Yurij M. 1 1998 Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079 Berezansky, Yurij M. 1 1998 Infinite-dimensional analysis related to generalized translation operators. Zbl 0887.28007 Berezanskij, Yu. M. 3 1997 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022 Berezanskyj, Yu. M.; Korolyuk, V. S.; Krein, S. G.; Mitropolskij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Skrypnik, I. V. 2 1997 Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev. Zbl 0859.46001 Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F. 36 1996 Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis. Zbl 0921.43003 Berezansky, Yu. M.; Kondratiev, Yu. G. 11 1996 A generalization of white noise analysis by means of theory of hypergroups. Zbl 0887.60047 Berezansky, Yurij M. 3 1996 Aleksandr Nikolaevich Sharkovsky (on his 60th birthday). Zbl 0939.01024 Berezanskij, Yu. M.; Romanenko, E. Yu.; Fedorenko, V. V.; Kolyada, S. F.; Vereikina, M. B.; Sivak, A. G. 1 1996 Integration of nonlinear nonisospectral difference-differential equations by means of the inverse spectral problem. Zbl 0941.34514 Berezansky, Yurij M. 1 1996 Infinite-dimensional non-Gaussian analysis and generalized translation operators. Zbl 0957.46031 Berezanskij, Yu. M. 1 1996 Non-Gaussian analysis and hypergroups. Zbl 0853.43014 Berezansky, Yu. M.; Kondratiev, Yu. G. 30 1995 Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001 Berezanskij, Yu. M.; Kondratiev, Yu. G. 18 1995 A generalization of Gaussian white noise analysis. Zbl 0870.60037 Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W. 5 1995 Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009 Berezansky, Yu. M.; Kalyuzhnyi, A. A. 4 1995 Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137 Berezansky, Yurij; Shmoish, Michael 10 1994 Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500 Berezanskij, Yu. M.; Konstantinov, A. Yu. 2 1992 On eigenvector expansion of multiparameter spectral problems. Zbl 0895.47013 Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 Harmonic analysis in hypercomplex systems. (Garmonicheskij analiz v giperkompleksnykh sistemakh.) Zbl 0854.43009 Berezanskij, Yu. M.; Kalyuzhnyj, A. A. 1 1992 Projection spectral theorem and its applications to the infinite- dimensional harmonic analysis. Zbl 0815.60002 Berezansky, Yu. M. 1 1991 Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations. Zbl 0736.34070 Berezanskij, Yu. M.; Gekhtman, M. I. 12 1990 Functional analysis. A course of lectures. Textbook. (Funktsional’nyj analiz. Kurs lektsij. Uchebnoe posobie.) Zbl 0704.46001 Berezanskij, Yu. M.; Us, G. F.; Sheftel’, Z. G. 11 1990 Nonisospectral nonlinear difference equations. Zbl 0723.39006 Berezanskiĭ, Yu. M.; Shmoĭsh, M. E. 1 1990 A spectral approach to quantum stochastic integrals. Zbl 0747.60054 Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1989 Spectral methods in infinite dimensional analysis. Ed. by M. L. Gorbachuk. (Spektral’nye metody v beskonechnomernom analize.) Zbl 0707.47001 Berezanskij, Yu. M.; Kondrat’ev, Yu. G. 7 1988 Expansion in eigenfunctions of families of commutating operators and representations of commutation relations. Zbl 0665.47017 Berezanskij, Yu. M.; Ostrovskij, V. L.; Samojlenko, Yu. S. 4 1988 Stochastic operator integrals. Zbl 0635.60060 Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1987 On the expansion of positive functionals on commutative nuclear *- algebras. Zbl 0637.46059 Berezanskij, Yu. M.; Lassner, G.; Yakovlev, V. S. 1 1987 Application of functional analytic methods to problems of mathematical physics. Collection of scientific works. (Primenenie metodov funktsional’nogo analiza v zadachakh matematicheskoj fiziki. Sbornik nauchnykh trudov). Zbl 0639.00017 1 1987 The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098 Berezanskij, Yu. M. 31 1986 Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem. Zbl 0601.39004 Berezanskiĭ, Yu. M.; Gekhtman, M. I.; Shmoĭsh, M. E. 13 1986 Selfadjoint operators in spaces of functions of infinitely many variables. Transl. from the Russian by H. H. McFaden, ed. by Ben Silver. Zbl 0596.47019 Berezanskij, Yu. M. 12 1986 Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003 Berezanskij, Yu. M. 11 1985 Projective spectral theorem. Zbl 0589.47020 Berezanskij, Yu. M. 7 1985 Hypercomplex systems with locally compact bases. Zbl 0632.43003 Berezanskij, Yu. M.; Kalyuzhnij, A. A. 1 1985 Direct and inverse problems of the spectral theory of differential operators. Collection of scientific works. (Прямые и обратные задачи спектральной теории дифференциальных операторов. Сборник научных трудов.) Zbl 0575.00013 1 1985 The projection spectral theorem. Zbl 0577.47019 Berezanskiĭ, Yu. M. 8 1984 Nuclear function spaces on the base of a hypercomplex system. Zbl 0533.46012 Berezanskiĭ, Yu. M.; Kalyuzhnyj, A. A. 4 1983 On the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations. Zbl 0502.47023 Berezanskij, Yu. M.; Samojlenko, V. G. 3 1981 Bilinear forms and Hilbert riggings. Zbl 0483.47017 Berezanskij, Yu. M. 1 1980 The expansion in simultaneous generalized eigenvectors of an arbitrary family of commuting normal operators. Zbl 0421.47007 Berezanski, Ju. M. 2 1978 Spectral representations of solutions of some classes of functional and differential equations. Zbl 0391.47009 Berezanskij, Yu. M. 1 1978 Self-adjointness conditions for elliptic operators with infinitely many variables. Zbl 0421.47027 Berezanskij, Yu. M.; Mikhajlyuk, T. A. 2 1977 Self-adjointness of elliptic operators with an infinite number of variables. Zbl 0327.47020 Berezanskij, Yu. M. 1 1976 Eigenfunction expansions of operators admitting separation of an infinite number of variables. Zbl 0317.47012 Berezanskij, Yu. M.; Us, G. F. 3 1975 Selbstadjungiertheit elliptischer Operatoren mit einer unendlichen Anzahl von Variablen. Zbl 0318.47027 Berezanskij, Yu. M. 1 1975 Nuclear spaces of functions of infinitely many variables. Zbl 0289.46025 Berezanskiĭ, Yu. M.; Samojlenko, Yu. S. 2 1974 Positive definite functions of infinitely many variables in a layer. Zbl 0255.46038 Berezanskiĭ, Yu. M.; Gali, I. M. 6 1973 On positive definite functions of infinitely many variables. Zbl 0261.47012 Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A. 2 1972 Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063 Berezanskiĭ, Yu. M.; Gali, I. M. 1 1972 Ein verallgemeinertes symmetrisches Potenz-Momentenproblem. Zbl 0217.44003 Berezanskiĭ, Yu. M.; Shifrin, S. N. 3 1971 Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007 Berezanskiĭ, Yu. M.; Kolmogorov, A. N.; Krein, M. G.; Levin, B. Ya.; Levitan, B. M.; Marchenko, V. A. 1 1971 On an eigenfunction expansion for selfadjoint operators. Zbl 0206.13404 Berezanskiĭ, Yu. M. 1 1970 A theorem on homeomorphisms and the Green’s function for general elliptic boundary problems. Zbl 0206.11302 Berezanskiĭ, Yu. M.; Rojtberg, Ya. A. 2 1969 An expansion in terms of generalized eigenvectors and an integral representation for positive definite kernels in the form of a continual integral. Zbl 0176.43603 Berezanskij, J. M. 1 1969 Expansions in eigenfunctions of selfadjoint operators. Translated from the Russian by R. Bolstein, J. M. Danskin, J. Rovnyak and L. Shulman. Zbl 0157.16601 Berezanskiĭ, Yu. M. 162 1968 Entwicklung nach verallgemeinerten Eigenvektoren und Integraldarstellung positiv definiter Kerne in Form eines kontinuierlichen Integrals. Zbl 0167.43001 Berezanskij, J. M. 3 1968 Integral representation of positive definite functionals of Wightman type. (Integraldarstellung positiv definiter Funktionale vom Wightmanschen Typus.) Zbl 0149.35001 Berezanskiĭ, Yu. M. 2 1967 A theorem on homeomorphisms and Green’s function for general elliptic boundary problems. (Ein Satz über die Homöomorphismen und die Greensche Funktion für allgemeine elliptische Randwertprobleme.) Zbl 0163.34803 Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 2 1967 Expansions in eigenfunctions of selfadjoint operators. (Разложение по собственным функциям самосопряженных операторов.) Zbl 0142.37203 Berezanskiĭ, Yu. M. 85 1965 Über die Fortsetzung positiv difiniter Funktionen zweier Veränderlicher. Zbl 0156.37801 Berezanskij, J. M.; Gorbachuk, M. L. 1 1965 The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501 Berezanskij, J. M. 4 1964 Spaces with negative norms. Zbl 0119.09903 Berezanskij, Yu. M. 3 1963 On the smoothness up to the boundary of the region of the kernel of the resolvent of an elliptic operator. (Über die Glattheit bis zum Rande der Gebiete des Kernes der Resolvente eines elliptischen Operators.) Zbl 0173.38804 Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 1 1963 Hypercomplex systems with continuous basis. Zbl 0100.32206 Berezanskij, Yu. M.; Krejn, S. G. 2 1960 On eigenfunction expansion for self-adjoint operators. Zbl 0092.12401 Berezanskij, Yu. M. 8 1959 Über den Eindeutigkeitssatz im inversen Problem der Spektralanalyse für die Schrödinger-Gleichung. Zbl 0086.08402 Berezanskij, Yu. M. 2 1958 On the boundary value problems for general partial differential operators. Zbl 0088.07103 Berezanskij, Yu. M. 1 1958 Entwicklung nach Eigenfunktionen voll selbstadjungierten Operatoren. Zbl 0079.13604 Berezanskij, Yu. M. 1 1957 Generalization of a Bochner’s theorem on eigenfunctions expansion for partial differential equations. Zbl 0072.31203 Berezanskij, Yu. M. 1 1956 Über verallgemeinerte fastperiodische Funktionen und Folgen, die mit Differential- und Differenzengleichungen zusammenhängen. Zbl 0050.31002 Berezanskij, Yu. M. 3 1953 Hyperkomplexe Systeme mit kompakter Basis. Zbl 0045.38302 Berezanskiĭ, Yu. M.; Kreĭn, S. G. 2 1951 Continuous algebra. (Kontinuierliche Algebren.) Zbl 0037.07702 Berezanskiĭ, Yu. M.; Kreĭn, S. G. 3 1950 all cited Publications top 5 cited Publications all top 5 Cited by 615 Authors 23 Kondrat’yev, Yuriĭ Grygorovych 21 Berezans’kyĭ, Yuriĭ Makarovych 21 Lytvynov, Eugene W. 18 Malamud, Mark M. 13 Albeverio, Sergio A. 8 Bruk, Vladislav Moiseevich 8 Grothaus, Martin 7 Koprubasi, Turhan 7 Riahi, Anis 7 Röckner, Michael 6 Budyka, Viktoriya S. 6 Finkelshteĭn, Dmitriĭ Leonidovich 6 Gekhtman, Mikhaèl I. 6 Kachanovsky, Nikolai A. 6 Koshmanenko, Volodymyr Dmytrovych 6 Kuna, Tobias 5 Arlins’kyĭ, Yuriĭ Moĭseĭovych 5 Derkach, Volodymyr Oleksandrovych 5 Hu, Xingbiao 5 Infusino, Maria 5 Koelink, Erik 5 Naboko, Serguei N. 5 Oliveira, Maria João 5 Sakhnovich, Alexander L. 4 Bairamov, Elgiz 4 Chang, Xiangke 4 Dudkin, Mykola E. 4 Gesztesy, Fritz 4 Guerra, Manuel 4 Guseinov, Gusein Sh. 4 Janas, Jan 4 Khanmamedov, Agil Khanmamed ogly 4 Kutoviy, Oleksandr V. 4 Neidhardt, Hagen 4 Osipov, Andrey S. 4 Samoĭlenko, Yuriĭ Stefanovych 4 Sousa, Rúben 4 Streit, Ludwig 4 Tsekanovskii, Eduard R. 4 Van Assche, Walter 4 Yakubovich, Semyon B. 4 Zagorodnyuk, Sergey Mihaylovich 3 Accardi, Luigi 3 Allahverdiev, Bilender Paşaoğlu 3 Aygar, Yelda 3 Barhoumi, Abdessatar 3 Ben-Artzi, Matania 3 Bischoff, Marcel 3 Chen, Xiaomin 3 Del Vecchio, Simone 3 Delvos, Franz-Jürgen 3 Derevyagin, Maxim S. 3 Durán, Antonio José 3 Dyuzhenkova, O. Yu. 3 Frolov, N. N. 3 Giorgetti, Luca 3 Günzler, Hans 3 Han, Jiayu 3 Hassi, Seppo 3 Hounkonnou, Mahouton Norbert 3 Kalinichenko, Dina Yu. 3 Kalyuzhny, A. A. 3 Kuhlmann, Salma 3 Li, Shihao 3 Liu, Wencai 3 Minlos, Robert Adol’fovich 3 Mirzoev, Karakhan Agakhan 3 Novikov, Roman G. 3 Osilenker, Boris P. 3 Ostrovskyĭ, Vasyl L. 3 Ouerdiane, Habib 3 Prykarpatsky, Anatoliy Karolevych 3 Rebenko, Alexei L. 3 Rehberg, Joachim 3 Reitmann, Volker 3 Sabitova, Yuliya Kamilevna 3 Sahbani, Jaouad 3 Schechter, Martin 3 Shmoĭsh, M. E. 3 Silva, Luis O. 3 Simon, Barry 3 Us, Georgi F. 3 Yang, Yidu 3 Yuan, Xiaoping 2 Alshehri, Maryam Gharamah Ali 2 Anan’eva, Aleksandra Yur’evna 2 Beckermann, Bernhard 2 Belyi, Sergey V. 2 Bi, Hai 2 Bloch, Anthony Michael 2 Bock, Wolfgang 2 Bogachev, Vladimir Igorevich 2 Bogolyubov, Nikolaĭ Nikolaevich jun. 2 Boutet de Monvel, Anne Marie 2 Bozejko, Marek 2 Branquinho, Amílcar José Pinto Lopes 2 Burskii, Vladimir Petrovich 2 Chernobai, O. B. 2 Chistyakov, Gennadiy Petrovych 2 Choque Rivero, Abdon Eddy ...and 515 more Authors all top 5 Cited in 188 Serials 34 Ukrainian Mathematical Journal 34 Journal of Functional Analysis 18 Journal of Mathematical Analysis and Applications 18 Reports on Mathematical Physics 18 Infinite Dimensional Analysis, Quantum Probability and Related Topics 15 Differential Equations 14 Mathematical Notes 14 Journal of Mathematical Sciences (New York) 13 Journal of Computational and Applied Mathematics 13 Complex Analysis and Operator Theory 12 Functional Analysis and its Applications 11 Communications in Mathematical Physics 9 Journal of Mathematical Physics 9 Integral Equations and Operator Theory 9 Journal of Differential Equations 8 Journal of Approximation Theory 7 Reviews in Mathematical Physics 6 Siberian Mathematical Journal 6 Doklady Mathematics 5 Nonlinear Analysis. Theory, Methods & Applications. 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