Edit Profile Berezans’kyĭ, Yuriĭ Makarovych Compute Distance To: Compute Author ID: berezanskii.yurii-makarovich Published as: Beresans’kij, Yu. M.; Beresanskij, Yu. M.; Beresanskiy, Yu. M.; Berezans’kij, Yu. M.; Berezans’kiĭ, Yu. M.; Berezans’kyi, Yu. M.; Berezans’kyj, Yu. M.; Berezanski, Ju. M.; Berezanskii, Yu M.; Berezanskii, Yu. M.; Berezanskij, J. M.; Berezanskij, Yu. M.; Berezanskiy, Yu. M.; Berezanskiĭ, Yu. M.; Berezansky, Y. M.; Berezansky, Yu.; Berezansky, Yu. M.; Berezansky, Yuri M.; Berezansky, Yurij; Berezansky, Yurij M.; Berezanskyj, Yu. M.; Berezhanskij, Yu. M. External Links: MGP · Math-Net.Ru · Wikidata · GND Documents Indexed: 245 Publications since 1950, including 26 Books Biographic References: 6 Publications all top 5 Co-Authors 116 single-authored 15 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 10 Gorbachuk, Myroslav L’vovych 10 Gorbachuk, Valentyna Ivanivna 9 Kalyuzhny, A. A. 9 Korolyuk, Volodymyr Semenovych 8 Kondrat’yev, Yuriĭ Grygorovych 8 Marchenko, Vladimir Aleksandrovich 8 Samoĭlenko, Anatoliĭ Mykhaĭlovych 7 Samoĭlenko, Yuriĭ Stefanovych 7 Us, Georgi F. 6 Adamyan, Vadym Movsesovych 6 Kreĭn, Selim Grigor’evich 6 Levin, Boris Yakovlevich 5 Dudkin, Mykola E. 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 Sharkovskiĭ, Oleksandr Mykolaiovych 3 Iokhvidov, I. S. 3 Kolmogorov, Andreĭ Nikolaevich 3 Kreĭn, Mark Grigor’evich 3 Mykhaĭlets’, Volodymyr Andriĭovych 3 Nikitin, A. H. 3 Ostrovskiĭ, Iosif Vladimirovich 3 Pogorelov, Alekseĭ Vasil’evich 3 Pulemyotov, Artem D. 3 Roitberg, Ya. A. 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, Alexander 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 Livinskij, V. O. 2 Maslov, Viktor Pavlovich 2 Mikhajlyuk, T. A. 2 Nizhnik, Leonid Pavlovich 2 Ostrovskyĭ, Vasyl L. 2 Parasyuk, Igor O. 2 Popov, Gennadiĭ Yakovlevich 2 Portenko, Mykola Ivanovych 2 Reshetnyak, Yuriĭ Grigor’evich 2 Sharko, Volodymyr Vasil’ovych 2 Sheftel, Zinnovi G. 2 Shifrin, S. N. 2 Sklyadnev, S. A. 2 Skrypnik, Igor Vladimirovich 2 Yakovlev, Vladislav S. 2 Zakharov, Vladimir Evgen’evich 2 Zhernakov, N. V. 1 Albeverio, Sergio A. 1 Aliev, Araz R. 1 Antonyuk, Oleksandra Viktorivna 1 Arnol’d, Vladimir Igorevich 1 Aslanov, Gamidulla I. 1 Baranovich, Yu. S. 1 Bayramoğlu, Mehmet 1 Belopol’skaya, Yana Isaevna 1 Bogdansky, Yu. V. 1 Brusentsev, A. G. 1 Chernobai, O. B. 1 Dorogovtsev, Andriĭ Anatoliĭovych 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. ...and 41 more Co-Authors all top 5 Serials 38 Ukraïns’kyĭ Matematychnyĭ Zhurnal 28 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 109 Operator theory (47-XX) 64 Functional analysis (46-XX) 42 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) 12 Quantum theory (81-XX) 11 Abstract harmonic analysis (43-XX) 11 Integral transforms, operational calculus (44-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 89 Publications have been cited 546 times in 438 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 0157.16601Berezanskiĭ, Yu. M. 117 1968 Expansions in eigenfunctions of selfadjoint operators. Zbl 0142.37203Berezanskiĭ, Yu. M. 72 1965 Non-Gaussian analysis and hypergroups. Zbl 0853.43014Berezansky, Yu. M.; Kondratiev, Yu. G. 37 1995 Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev. Zbl 0859.46001Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F. 25 1996 The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098Berezanskij, Yu. M. 21 1986 Harmonic analysis in hypercomplex systems. Transl. from the Russian by P. Malyshev. Compl. rev. and updated transl. Compl. rev. and updated transl. Zbl 0894.43007Berezansky, Yu. M.; Kalyuzhnyi, A. A. 12 1998 Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem. Zbl 0601.39004Berezanskiĭ, Yu. M.; Gekhtman, M. I.; Shmoĭsh, M. E. 12 1986 On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene 11 1999 Commutative Jacobi fields in Fock space. Zbl 0896.60019Berezansky, Yurij M. 11 1998 Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis. Zbl 0921.43003Berezansky, Yu. M.; Kondratiev, Yu. G. 11 1996 Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations. Zbl 0736.34070Berezanskij, Yu. M.; Gekhtman, M. I. 10 1990 Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003Berezanskij, Yu. M. 9 1985 The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 The Jacobi field of a Lévy process. Zbl 1038.47046Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A. 8 2003 Selfadjoint operators in spaces of functions of infinitely many variables. Transl. from the Russian by H. H. McFaden, ed. by Ben Silver. Zbl 0596.47019Berezanskij, Yu. M. 8 1986 The projection spectral theorem. Zbl 0577.47019Berezanskiĭ, Yu. M. 8 1984 Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001Berezanskij, Yu. M.; Kondratiev, Yu. G. 7 1995 Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137Berezansky, Yurij; Shmoish, Michael 7 1994 Projective spectral theorem. Zbl 0589.47020Berezanskij, Yu. M. 7 1985 On eigenfunction expansion for self-adjoint operators. Zbl 0092.12401Berezanskij, Yu. M. 7 1959 The complex moment problem and direct and inverse spectral problems for the block Jacobi type bounded normal matrices. Zbl 1094.47025Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 The construction of the chaotic representation for the gamma field. Zbl 1048.60053Berezansky, Yurij M.; Mierzejewski, Dmytro A. 5 2003 Positive definite functions of infinitely many variables in a layer. Zbl 0255.46038Berezanskiĭ, Yu. M.; Gali, I. M. 5 1973 Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009Berezansky, Yu. M.; Kalyuzhnyi, A. A. 4 1995 Functional analysis. A course of lectures. Textbook. Zbl 0704.46001Berezanskij, Yu. M.; Us, G. F.; Sheftel’, Z. G. 4 1990 Expansion in eigenfunctions of families of commutating operators and representations of commutation relations. Zbl 0665.47017Berezanskij, Yu. M.; Ostrovskij, V. L.; Samojlenko, Yu. S. 4 1988 Spectral methods in infinite dimensional analysis. Ed. by M. L. Gorbachuk. Zbl 0707.47001Berezanskij, Yu. M.; Kondrat’ev, Yu. G. 4 1988 Nuclear function spaces on the base of a hypercomplex system. Zbl 0533.46012Berezanskiĭ, Yu. M.; Kalyuzhnyj, A. A. 4 1983 Entwicklung nach verallgemeinerten Eigenvektoren und Integraldarstellung positiv definiter Kerne in Form eines kontinuierlichen Integrals. Zbl 0167.43001Berezanskij, J. M. 4 1968 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 On the complex moment problem. Zbl 1116.44003Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 Some generalizations of the classical moment problem. Zbl 1031.47010Berezansky, Yurij M. 3 2002 Poisson measure as the spectral measure of Jacobi field. Zbl 1040.47501Berezansky, Yurij M. 3 2000 On the theory of generalized Toeplitz kernels. Zbl 1049.47029Berezanskyj, Yu. M.; Chernobai, O. B. 3 2000 Infinite-dimensional analysis related to generalized translation operators. Zbl 0887.28007Berezanskij, Yu. M. 3 1997 A generalization of white noise analysis by means of theory of hypergroups. Zbl 0887.60047Berezansky, Yurij M. 3 1996 A generalization of Gaussian white noise analysis. Zbl 0870.60037Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W. 3 1995 Eigenfunction expansions of operators admitting separation of an infinite number of variables. Zbl 0317.47012Berezanskij, Yu. M.; Us, G. F. 3 1975 Spaces with negative norms. Zbl 0119.09903Berezanskij, Yu. M. 3 1963 Continuous algebra. Zbl 0037.07702Berezanskiĭ, Yu. M.; Kreĭn, S. G. 3 1950 The complex moment problem in the exponential form. Zbl 1077.47014Berezansky, Yu. M.; Dudkin, M. E. 2 2004 Spaces of test and generalized functions related to generalized translation operators. Zbl 1080.46027Berezans’kyi, Yu. M.; Tesko, V. A. 2 2003 The chaotic decomposition for the gamma field. Zbl 0994.60068Berezansky, Yu. M.; Mierzejewski, D. A. 2 2001 The structure of the extended symmetric Fock space. Zbl 0973.47025Berezansky, Yurij M.; Mierzejewski, Dmytro A. 2 2000 The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002Berezansky, Yu. M. 2 2000 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022Berezanskyj, Yu. M.; Korolyuk, V. S.; Krein, S. G.; Mitropolskij, Yu. A.; Samoilenko, A. M.; Skorokhod, A. V.; Skrypnik, I. V. 2 1997 On the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations. Zbl 0502.47023Berezanskij, Yu. M.; Samojlenko, V. G. 2 1981 The expansion in simultaneous generalized eigenvectors of an arbitrary family of commuting normal operators. Zbl 0421.47007Berezanski, Ju. M. 2 1978 Self-adjointness conditions for elliptic operators with infinitely many variables. Zbl 0421.47027Berezanskij, Yu. M.; Mikhajlyuk, T. A. 2 1977 Nuclear spaces of functions of infinitely many variables. Zbl 0289.46025Berezanskiĭ, Yu. M.; Samojlenko, Yu. S. 2 1974 A theorem on homeomorphisms and the Green’s function for general elliptic boundary problems. Zbl 0206.11302Berezanskiĭ, Yu. M.; Rojtberg, Ya. A. 2 1969 A theorem on homeomorphisms and Green’s function for general elliptic boundary problems. Zbl 0163.34803Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 2 1967 Integral representation of positive definite functionals of Wightman type. Zbl 0149.35001Berezanskiĭ, Yu. M. 2 1967 The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501Berezanskij, J. M. 2 1964 Hypercomplex systems with continuous basis. Zbl 0100.32206Berezanskij, Yu. M.; Krejn, S. G. 2 1960 Über verallgemeinerte fastperiodische Funktionen und Folgen, die mit Differential- und Differenzengleichungen zusammenhängen. Zbl 0050.31002Berezanskij, Yu. M. 2 1953 Hyperkomplexe Systeme mit kompakter Basis. Zbl 0045.38302Berezanskiĭ, 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 1374.47025Berezansky, Yu. M. 1 2016 Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices. Zbl 1168.34038Berezansky, Yu. M.; Mokhon’ko, A. A. 1 2008 The investigation of a generalized moment problem associated with correlation measures. Zbl 1144.47305Berezansky, Yu. M.; Mierzejewski, D. A. 1 2007 Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009Berezansky, Yurij M. 1 2002 Spectral theory of commutative Jacobi fields: Direct and inverse problems. Zbl 0977.47016Berezansky, Yurij M. 1 2000 On the theory of commutative Jacobi fields. Zbl 0941.47025Berezanskij, Yu. M. 1 1998 Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079Berezansky, Yurij M. 1 1998 Construction of generalized translation operators from the system of Appell characters. Zbl 0917.46039Berezansky, Yurij M. 1 1998 Integration of nonlinear nonisospectral difference-differential equations by means of the inverse spectral problem. Zbl 0941.34514Berezansky, Yurij M. 1 1996 Aleksandr Nikolaevich Sharkovsky (on his 60th birthday). Zbl 0939.01024Berezanskij, Yu. M.; Romanenko, E. Yu.; Fedorenko, V. V.; Kolyada, S. F.; Vereikina, M. B.; Sivak, A. G. 1 1996 Infinite-dimensional non-Gaussian analysis and generalized translation operators. Zbl 0957.46031Berezanskij, Yu. M. 1 1996 Harmonic analysis in hypercomplex systems. Zbl 0854.43009Berezanskij, Yu. M.; Kalyuzhnyj, A. A. 1 1992 Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 On eigenvector expansion of multiparameter spectral problems. Zbl 0895.47013Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 Projection spectral theorem and its applications to the infinite- dimensional harmonic analysis. Zbl 0815.60002Berezansky, Yu. M. 1 1991 Nonisospectral nonlinear difference equations. Zbl 0723.39006Berezanskiĭ, Yu. M.; Shmoĭsh, M. E. 1 1990 A spectral approach to quantum stochastic integrals. Zbl 0747.60054Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1989 On the expansion of positive functionals on commutative nuclear *- algebras. Zbl 0637.46059Berezanskij, Yu. M.; Lassner, G.; Yakovlev, V. S. 1 1987 Stochastic operator integrals. Zbl 0635.60060Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1987 Hypercomplex systems with locally compact bases. Zbl 0632.43003Berezanskij, Yu. M.; Kalyuzhnij, A. A. 1 1985 Direct and inverse problems of the spectral theory of differential operators. Collection of scientific works. Zbl 0575.00013Berezanskiĭ, Yu. M. (ed.) 1 1985 Spectral representations of solutions of some classes of functional and differential equations. Zbl 0391.47009Berezanskij, Yu. M. 1 1978 Self-adjointness of elliptic operators with an infinite number of variables. Zbl 0327.47020Berezanskij, Yu. M. 1 1976 On positive definite functions of infinitely many variables. Zbl 0261.47012Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A. 1 1972 Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063Berezanskiĭ, Yu. M.; Gali, I. M. 1 1972 The generalized degree symmetric moment problem. Zbl 0229.46058Berezanskiĭ, Yu. M.; Shifrin, S. N. 1 1972 Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007Berezanskiĭ, 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 0206.13404Berezanskiĭ, Yu. M. 1 1970 An expansion in terms of generalized eigenvectors and an integral representation for positive definite kernels in the form of a continual integral. Zbl 0176.43603Berezanskij, J. M. 1 1969 On the smoothness up to the boundary of the region of the kernel of the resolvent of an elliptic operator. Zbl 0173.38804Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 1 1963 On the boundary value problems for general partial differential operators. Zbl 0088.07103Berezanskij, Yu. M. 1 1958 Generalization of a Bochner’s theorem on eigenfunctions expansion for partial differential equations. Zbl 0072.31203Berezanskij, Yu. M. 1 1956 Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem. Zbl 1374.47025Berezansky, Yu. M. 1 2016 The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices. Zbl 1221.47024Berezansky, Yurij M.; Dudkin, Mykola E. 3 2010 Integration of some differential-difference nonlinear equations using the spectral theory of normal block Jacobi matrices. Zbl 1168.34038Berezansky, Yu. M.; Mokhon’ko, A. A. 1 2008 On the complex moment problem. Zbl 1116.44003Berezansky, Yurij M.; Dudkin, Mykola E. 3 2007 The investigation of a generalized moment problem associated with correlation measures. Zbl 1144.47305Berezansky, 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 1094.47025Berezansky, Yurij M.; Dudkin, Mykola E. 5 2006 The direct and inverse spectral problems for the block Jacobi type unitary matrices. Zbl 1094.47024Berezansky, Yurij M.; Dudkin, Mykola E. 8 2005 The complex moment problem in the exponential form. Zbl 1077.47014Berezansky, Yu. M.; Dudkin, M. E. 2 2004 The Jacobi field of a Lévy process. Zbl 1038.47046Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A. 8 2003 The construction of the chaotic representation for the gamma field. Zbl 1048.60053Berezansky, Yurij M.; Mierzejewski, Dmytro A. 5 2003 Spaces of test and generalized functions related to generalized translation operators. Zbl 1080.46027Berezans’kyi, Yu. M.; Tesko, V. A. 2 2003 Some generalizations of the classical moment problem. Zbl 1031.47010Berezansky, Yurij M. 3 2002 Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009Berezansky, Yurij M. 1 2002 The chaotic decomposition for the gamma field. Zbl 0994.60068Berezansky, Yu. M.; Mierzejewski, D. A. 2 2001 Poisson measure as the spectral measure of Jacobi field. Zbl 1040.47501Berezansky, Yurij M. 3 2000 On the theory of generalized Toeplitz kernels. Zbl 1049.47029Berezanskyj, Yu. M.; Chernobai, O. B. 3 2000 The structure of the extended symmetric Fock space. Zbl 0973.47025Berezansky, Yurij M.; Mierzejewski, Dmytro A. 2 2000 The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002Berezansky, Yu. M. 2 2000 Spectral theory of commutative Jacobi fields: Direct and inverse problems. Zbl 0977.47016Berezansky, Yurij M. 1 2000 On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene 11 1999 Harmonic analysis in hypercomplex systems. Transl. from the Russian by P. Malyshev. Compl. rev. and updated transl. Compl. rev. and updated transl. Zbl 0894.43007Berezansky, Yu. M.; Kalyuzhnyi, A. A. 12 1998 Commutative Jacobi fields in Fock space. Zbl 0896.60019Berezansky, Yurij M. 11 1998 On the theory of commutative Jacobi fields. Zbl 0941.47025Berezanskij, Yu. M. 1 1998 Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079Berezansky, Yurij M. 1 1998 Construction of generalized translation operators from the system of Appell characters. Zbl 0917.46039Berezansky, Yurij M. 1 1998 Infinite-dimensional analysis related to generalized translation operators. Zbl 0887.28007Berezanskij, Yu. M. 3 1997 Yurij L’vovich Daletskyj (to his 70th birthday). Zbl 0936.01022Berezanskyj, 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 0859.46001Berezansky, Y. M.; Sheftel, Z. G.; Us, G. F. 25 1996 Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis. Zbl 0921.43003Berezansky, Yu. M.; Kondratiev, Yu. G. 11 1996 A generalization of white noise analysis by means of theory of hypergroups. Zbl 0887.60047Berezansky, Yurij M. 3 1996 Integration of nonlinear nonisospectral difference-differential equations by means of the inverse spectral problem. Zbl 0941.34514Berezansky, Yurij M. 1 1996 Aleksandr Nikolaevich Sharkovsky (on his 60th birthday). Zbl 0939.01024Berezanskij, Yu. M.; Romanenko, E. Yu.; Fedorenko, V. V.; Kolyada, S. F.; Vereikina, M. B.; Sivak, A. G. 1 1996 Infinite-dimensional non-Gaussian analysis and generalized translation operators. Zbl 0957.46031Berezanskij, Yu. M. 1 1996 Non-Gaussian analysis and hypergroups. Zbl 0853.43014Berezansky, Yu. M.; Kondratiev, Yu. G. 37 1995 Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001Berezanskij, Yu. M.; Kondratiev, Yu. G. 7 1995 Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009Berezansky, Yu. M.; Kalyuzhnyi, A. A. 4 1995 A generalization of Gaussian white noise analysis. Zbl 0870.60037Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W. 3 1995 Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137Berezansky, Yurij; Shmoish, Michael 7 1994 Harmonic analysis in hypercomplex systems. Zbl 0854.43009Berezanskij, Yu. M.; Kalyuzhnyj, A. A. 1 1992 Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 On eigenvector expansion of multiparameter spectral problems. Zbl 0895.47013Berezanskij, Yu. M.; Konstantinov, A. Yu. 1 1992 Projection spectral theorem and its applications to the infinite- dimensional harmonic analysis. Zbl 0815.60002Berezansky, Yu. M. 1 1991 Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations. Zbl 0736.34070Berezanskij, Yu. M.; Gekhtman, M. I. 10 1990 Functional analysis. A course of lectures. Textbook. Zbl 0704.46001Berezanskij, Yu. M.; Us, G. F.; Sheftel’, Z. G. 4 1990 Nonisospectral nonlinear difference equations. Zbl 0723.39006Berezanskiĭ, Yu. M.; Shmoĭsh, M. E. 1 1990 A spectral approach to quantum stochastic integrals. Zbl 0747.60054Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1989 Expansion in eigenfunctions of families of commutating operators and representations of commutation relations. Zbl 0665.47017Berezanskij, Yu. M.; Ostrovskij, V. L.; Samojlenko, Yu. S. 4 1988 Spectral methods in infinite dimensional analysis. Ed. by M. L. Gorbachuk. Zbl 0707.47001Berezanskij, Yu. M.; Kondrat’ev, Yu. G. 4 1988 On the expansion of positive functionals on commutative nuclear *- algebras. Zbl 0637.46059Berezanskij, Yu. M.; Lassner, G.; Yakovlev, V. S. 1 1987 Stochastic operator integrals. Zbl 0635.60060Berezanskij, Yu. M.; Zhernakov, N. V.; Us, G. F. 1 1987 The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098Berezanskij, Yu. M. 21 1986 Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem. Zbl 0601.39004Berezanskiĭ, Yu. M.; Gekhtman, M. I.; Shmoĭsh, M. E. 12 1986 Selfadjoint operators in spaces of functions of infinitely many variables. Transl. from the Russian by H. H. McFaden, ed. by Ben Silver. Zbl 0596.47019Berezanskij, Yu. M. 8 1986 Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003Berezanskij, Yu. M. 9 1985 Projective spectral theorem. Zbl 0589.47020Berezanskij, Yu. M. 7 1985 Hypercomplex systems with locally compact bases. Zbl 0632.43003Berezanskij, Yu. M.; Kalyuzhnij, A. A. 1 1985 Direct and inverse problems of the spectral theory of differential operators. Collection of scientific works. Zbl 0575.00013Berezanskiĭ, Yu. M. (ed.) 1 1985 The projection spectral theorem. Zbl 0577.47019Berezanskiĭ, Yu. M. 8 1984 Nuclear function spaces on the base of a hypercomplex system. Zbl 0533.46012Berezanskiĭ, Yu. M.; Kalyuzhnyj, A. A. 4 1983 On the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations. Zbl 0502.47023Berezanskij, Yu. M.; Samojlenko, V. G. 2 1981 The expansion in simultaneous generalized eigenvectors of an arbitrary family of commuting normal operators. Zbl 0421.47007Berezanski, Ju. M. 2 1978 Spectral representations of solutions of some classes of functional and differential equations. Zbl 0391.47009Berezanskij, Yu. M. 1 1978 Self-adjointness conditions for elliptic operators with infinitely many variables. Zbl 0421.47027Berezanskij, Yu. M.; Mikhajlyuk, T. A. 2 1977 Self-adjointness of elliptic operators with an infinite number of variables. Zbl 0327.47020Berezanskij, Yu. M. 1 1976 Eigenfunction expansions of operators admitting separation of an infinite number of variables. Zbl 0317.47012Berezanskij, Yu. M.; Us, G. F. 3 1975 Nuclear spaces of functions of infinitely many variables. Zbl 0289.46025Berezanskiĭ, Yu. M.; Samojlenko, Yu. S. 2 1974 Positive definite functions of infinitely many variables in a layer. Zbl 0255.46038Berezanskiĭ, Yu. M.; Gali, I. M. 5 1973 On positive definite functions of infinitely many variables. Zbl 0261.47012Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A. 1 1972 Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063Berezanskiĭ, Yu. M.; Gali, I. M. 1 1972 The generalized degree symmetric moment problem. Zbl 0229.46058Berezanskiĭ, Yu. M.; Shifrin, S. N. 1 1972 Naum Il’ich Akhiezer (on his seventieth birthday). Zbl 0221.01007Berezanskiĭ, 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 0206.13404Berezanskiĭ, Yu. M. 1 1970 A theorem on homeomorphisms and the Green’s function for general elliptic boundary problems. Zbl 0206.11302Berezanskiĭ, 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 0176.43603Berezanskij, 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 0157.16601Berezanskiĭ, Yu. M. 117 1968 Entwicklung nach verallgemeinerten Eigenvektoren und Integraldarstellung positiv definiter Kerne in Form eines kontinuierlichen Integrals. Zbl 0167.43001Berezanskij, J. M. 4 1968 A theorem on homeomorphisms and Green’s function for general elliptic boundary problems. Zbl 0163.34803Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 2 1967 Integral representation of positive definite functionals of Wightman type. Zbl 0149.35001Berezanskiĭ, Yu. M. 2 1967 Expansions in eigenfunctions of selfadjoint operators. Zbl 0142.37203Berezanskiĭ, Yu. M. 72 1965 The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501Berezanskij, J. M. 2 1964 Spaces with negative norms. Zbl 0119.09903Berezanskij, Yu. M. 3 1963 On the smoothness up to the boundary of the region of the kernel of the resolvent of an elliptic operator. Zbl 0173.38804Berezanskiĭ, Yu. M.; Roĭtberg, Ya. A. 1 1963 Hypercomplex systems with continuous basis. Zbl 0100.32206Berezanskij, Yu. M.; Krejn, S. G. 2 1960 On eigenfunction expansion for self-adjoint operators. Zbl 0092.12401Berezanskij, Yu. M. 7 1959 On the boundary value problems for general partial differential operators. Zbl 0088.07103Berezanskij, Yu. M. 1 1958 Generalization of a Bochner’s theorem on eigenfunctions expansion for partial differential equations. Zbl 0072.31203Berezanskij, Yu. M. 1 1956 Über verallgemeinerte fastperiodische Funktionen und Folgen, die mit Differential- und Differenzengleichungen zusammenhängen. Zbl 0050.31002Berezanskij, Yu. M. 2 1953 Hyperkomplexe Systeme mit kompakter Basis. Zbl 0045.38302Berezanskiĭ, Yu. M.; Kreĭn, S. G. 2 1951 Continuous algebra. Zbl 0037.07702Berezanskiĭ, Yu. M.; Kreĭn, S. G. 3 1950 all cited Publications top 5 cited Publications all top 5 Cited by 464 Authors 24 Kondrat’yev, Yuriĭ Grygorovych 21 Berezans’kyĭ, Yuriĭ Makarovych 17 Lytvynov, Eugene W. 14 Albeverio, Sergio A. 13 Malamud, Mark M. 8 Bruk, Vladislav Moiseevich 8 Grothaus, Martin 8 Röckner, Michael 6 Kachanovsky, Nikolai A. 6 Koelink, Erik 5 Finkelshteĭn, Dmitriĭ Leonidovich 5 Koshmanenko, Volodymyr Dmytrovych 5 Kuna, Tobias 5 Naboko, Serguei N. 5 Riahi, Anis 5 Sakhnovich, Alexander L. 5 Samoĭlenko, Yuriĭ Stefanovych 5 Zagorodnyuk, Sergey Mihaylovich 4 Gekhtman, Michael I. 4 Guseinov, Gusein Sh. 4 Hu, Xingbiao 4 Janas, Jan 4 Khanmamedov, Agil Khanmamed ogly 4 Kutoviy, Oleksandr V. 4 Neidhardt, Hagen 4 Oliveira, Maria João 4 Rehberg, Joachim 4 Simon, Barry 4 Van Assche, Walter 3 Arlins’kyĭ, Yuriĭ Moĭseĭovych 3 Bairamov, Elgiz 3 Barhoumi, Abdessatar 3 Chang, Xiangke 3 Daletskii, Alexei 3 Delvos, Franz-Jürgen 3 Derkach, Vladimir Alexandrovich 3 Dudkin, Mykola E. 3 Duran, Antonio J. 3 Frolov, N. N. 3 Gesztesy, Fritz 3 Golénia, Sylvain 3 Guerra, Manuel 3 Infusino, Maria 3 Kalinichenko, Dina Yu. 3 Kalyuzhny, A. A. 3 Koprubasi, Turhan 3 Kostenko, Aleksey S. 3 Liu, Wencai 3 Minlos, Robert Adol’fovich 3 Osilenker, Boris P. 3 Osipov, Andrey S. 3 Ostrovskyĭ, Vasyl L. 3 Ouerdiane, Habib 3 Rebenko, Alexei L. 3 Sabitova, Yuliya Kamilevna 3 Sahbani, Jaouad 3 Shmoĭsh, M. E. 3 Sousa, Rúben 3 Streit, Ludwig 3 Tsekanovskii, Eduard R. 3 Us, Georgi F. 3 Yakubovich, Semyon B. 3 Yuan, Xiaoping 2 Accardi, Luigi 2 Allahverdiev, Bilender Paşaoğlu 2 Ananieva, Aleksandra Yu. 2 Beckermann, Bernhard 2 Bloch, Anthony M. 2 Bock, Wolfgang 2 Bogolyubov, Nikolaĭ Nikolaevich jun. 2 Boutet de Monvel, Anne Marie 2 Bozejko, Marek 2 Bruzual, Ramón 2 Budyka, V. S. 2 Chernobai, O. B. 2 Chistyakov, Gennadiy P. 2 Clark, Stephen L. 2 Clark, Steve 2 Cojuhari, Petru A. 2 De Los Ríos, Ana M. 2 Derevyagin, Maxim S. 2 Dijksma, Aad 2 Dinariev, Oleg Yurevich 2 Dombrowski, Joanne 2 Dym, Harry 2 Dyukarev, Yury M. 2 Dyuzhenkova, O. Yu. 2 El-Zahaby, S. A. 2 Fishel, B. 2 Frei, Maria M. 2 Gekhtman, Mikhaèl I. 2 Gheondea, Aurelian 2 Golenia, Jolanta 2 Götze, Friedrich W. 2 Grünbaum, Francisco Alberto 2 Günzler, Hans 2 Hassi, Seppo 2 Hounkonnou, Mahouton Norbert 2 Huseynov, Adil 2 Jahnert, Florian ...and 364 more Authors all top 5 Cited in 135 Serials 42 Journal of Functional Analysis 32 Ukrainian Mathematical Journal 23 Reports on Mathematical Physics 19 Journal of Mathematical Analysis and Applications 14 Journal of Computational and Applied Mathematics 14 Infinite Dimensional Analysis, Quantum Probability and Related Topics 12 Differential Equations 11 Journal of Mathematical Physics 11 Mathematical Notes 11 Functional Analysis and its Applications 11 Journal of Differential Equations 10 Journal of Approximation Theory 9 Communications in Mathematical Physics 8 Integral Equations and Operator Theory 7 Linear Algebra and its Applications 6 Siberian Mathematical Journal 6 Doklady Mathematics 5 Complex Analysis and Operator Theory 5 Carpathian Mathematical Publications 4 Reviews in Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Transactions of the American Mathematical Society 4 Indagationes Mathematicae. New Series 3 Journal of Statistical Physics 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Applied Mathematics and Computation 3 Advances in Applied Mathematics 3 Physica D 3 Constructive Approximation 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Mathematical Sciences (New York) 3 Concrete Operators 2 Journal of Applied Mathematics and Mechanics 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. A 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Journal of Soviet Mathematics 2 Mathematische Annalen 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 RAIRO. Analyse Numérique 2 Transactions of the Moscow Mathematical Society 2 Journal of Information & Optimization Sciences 2 Mathematical and Computer Modelling 2 Computational Mathematics and Mathematical Physics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Expositiones Mathematicae 2 Russian Mathematics 2 Bulletin des Sciences Mathématiques 2 Mediterranean Journal of Mathematics 2 Stochastics 2 Journal of Spectral Theory 2 Problemy Analiza. Issues of Analysis 1 Analysis Mathematica 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Nuclear Physics. B 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Fortschritte der Physik 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Zeitschrift für Analysis und ihre Anwendungen 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 The Annals of Applied Probability 1 Differential Geometry and its Applications 1 Communications in Partial Differential Equations 1 Stochastic Processes and their Applications 1 Continuum Mechanics and Thermodynamics 1 Theory of Probability and Mathematical Statistics 1 Russian Journal of Mathematical Physics ...and 35 more Serials all top 5 Cited in 44 Fields 172 Operator theory (47-XX) 94 Partial differential equations (35-XX) 82 Functional analysis (46-XX) 69 Probability theory and stochastic processes (60-XX) 61 Ordinary differential equations (34-XX) 54 Quantum theory (81-XX) 35 Dynamical systems and ergodic theory (37-XX) 32 Special functions (33-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 20 Difference and functional equations (39-XX) 20 Statistical mechanics, structure of matter (82-XX) 18 Numerical analysis (65-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Measure and integration (28-XX) 15 Abstract harmonic analysis (43-XX) 14 Integral transforms, operational calculus (44-XX) 12 Functions of a complex variable (30-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Approximations and expansions (41-XX) 9 Integral equations (45-XX) 8 Nonassociative rings and algebras (17-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Differential geometry (53-XX) 6 Optics, electromagnetic theory (78-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 4 History and biography (01-XX) 4 Topological groups, Lie groups (22-XX) 4 Potential theory (31-XX) 4 Fluid mechanics (76-XX) 3 Number theory (11-XX) 3 Systems theory; control (93-XX) 2 Group theory and generalizations (20-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.