×

Berezans’kyĭ, Yuriĭ Makarovych

Compute Distance To:
Author ID: berezanskii.yurii-makarovich Recent zbMATH articles by "Berezans’kyĭ, Yuriĭ Makarovych"
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.
Further Spellings: Berezansky, Yuriy Makarovich; Березанский Юрий Макарович; Березанський Юрій Макарович
External Links: MGP · Wikidata · Math-Net.Ru · GND
Documents Indexed: 232 Publications since 1950, including 12 Books
14 Contributions as Editor
Biographic References: 6 Publications
Co-Authors: 135 Co-Authors with 130 Joint Publications
4,347 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 Kreĭn, Selim Grigor’evich
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 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, 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 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 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 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

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 519 times in 422 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.
95
1968
Expansions in eigenfunctions of selfadjoint operators. (Разложение по собственным функциям самосопряженных операторов.) Zbl 0142.37203
Berezanskiĭ, Yu. M.
68
1965
Non-Gaussian analysis and hypergroups. Zbl 0853.43014
Berezansky, Yu. M.; Kondratiev, Yu. G.
28
1995
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.
27
1996
The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098
Berezanskij, Yu. M.
25
1986
Harmonic analysis in hypercomplex systems. Transl. from the Russian by P. Malyshev. Compl. rev. and updated transl. Compl. rev. and updated transl. Zbl 0894.43007
Berezansky, Yu. M.; Kalyuzhnyi, A. A.
13
1998
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.
12
1986
On a spectral representation for correlation measures in configuration space analysis. Zbl 0955.60050
Berezansky, Yuri M.; Kondratiev, Yuri G.; Kuna, Tobias; Lytvynov, Eugene
12
1999
Biorthogonal systems in hypergroups: an extension of non-Gaussian analysis. Zbl 0921.43003
Berezansky, Yu. M.; Kondratiev, Yu. G.
11
1996
Commutative Jacobi fields in Fock space. Zbl 0896.60019
Berezansky, Yurij M.
11
1998
Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations. Zbl 0736.34070
Berezanskij, Yu. M.; Gekhtman, M. I.
9
1990
Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003
Berezanskij, Yu. M.
8
1985
The projection spectral theorem. Zbl 0577.47019
Berezanskiĭ, Yu. M.
8
1984
Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137
Berezansky, Yurij; Shmoish, Michael
8
1994
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 Jacobi field of a Lévy process. Zbl 1038.47046
Berezansky, Yu. M.; Lytvynov, E.; Mierzejewski, D. A.
8
2003
Projective spectral theorem. Zbl 0589.47020
Berezanskij, Yu. M.
7
1985
On eigenfunction expansion for self-adjoint operators. Zbl 0092.12401
Berezanskij, Yu. M.
7
1959
Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001
Berezanskij, Yu. M.; Kondratiev, Yu. G.
6
1995
Positive definite functions of infinitely many variables in a layer. Zbl 0255.46038
Berezanskiĭ, Yu. M.; Gali, I. M.
6
1973
The construction of the chaotic representation for the gamma field. Zbl 1048.60053
Berezansky, Yurij M.; Mierzejewski, Dmytro A.
6
2003
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.
5
1990
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
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.
4
1986
Nuclear function spaces on the base of a hypercomplex system. Zbl 0533.46012
Berezanskiĭ, Yu. M.; Kalyuzhnyj, A. A.
4
1983
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
Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009
Berezansky, Yu. M.; Kalyuzhnyi, A. A.
4
1995
A generalization of Gaussian white noise analysis. Zbl 0870.60037
Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W.
4
1995
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.
3
1988
Some generalizations of the classical moment problem. Zbl 1031.47010
Berezansky, Yurij M.
3
2002
On the complex moment problem. Zbl 1116.44003
Berezansky, Yurij M.; Dudkin, Mykola E.
3
2007
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
On the theory of generalized Toeplitz kernels. Zbl 1049.47029
Berezanskyj, Yu. M.; Chernobai, O. B.
3
2000
A generalization of white noise analysis by means of theory of hypergroups. Zbl 0887.60047
Berezansky, Yurij M.
3
1996
Infinite-dimensional analysis related to generalized translation operators. Zbl 0887.28007
Berezanskij, Yu. M.
3
1997
Eigenfunction expansions of operators admitting separation of an infinite number of variables. Zbl 0317.47012
Berezanskij, Yu. M.; Us, G. F.
3
1975
Spaces with negative norms. Zbl 0119.09903
Berezanskij, Yu. M.
3
1963
The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501
Berezanskij, J. M.
3
1964
Entwicklung nach verallgemeinerten Eigenvektoren und Integraldarstellung positiv definiter Kerne in Form eines kontinuierlichen Integrals. Zbl 0167.43001
Berezanskij, J. M.
3
1968
Poisson measure as the spectral measure of Jacobi field. Zbl 1040.47501
Berezansky, Yurij M.
3
2000
Continuous algebra. (Kontinuierliche Algebren.) Zbl 0037.07702
Berezanskiĭ, Yu. M.; Kreĭn, S. G.
3
1950
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
The structure of the extended symmetric Fock space. Zbl 0973.47025
Berezansky, Yurij M.; Mierzejewski, Dmytro A.
2
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
The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002
Berezansky, Yu. M.
2
2000
Spaces of test and generalized functions related to generalized translation operators. Zbl 1080.46027
Berezans’kyi, Yu. M.; Tesko, V. A.
2
2003
The chaotic decomposition for the gamma field. Zbl 0994.60068
Berezansky, Yu. M.; Mierzejewski, D. A.
2
2001
The complex moment problem in the exponential form. Zbl 1077.47014
Berezansky, Yu. M.; Dudkin, M. E.
2
2004
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
Nuclear spaces of functions of infinitely many variables. Zbl 0289.46025
Berezanskiĭ, Yu. M.; Samojlenko, Yu. S.
2
1974
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 the self-adjointness of differential operators with finitely or infinitely many variables, and evolution equations. Zbl 0502.47023
Berezanskij, Yu. M.; Samojlenko, V. G.
2
1981
Hyperkomplexe Systeme mit kompakter Basis. Zbl 0045.38302
Berezanskiĭ, Yu. M.; Kreĭn, S. G.
2
1951
Über verallgemeinerte fastperiodische Funktionen und Folgen, die mit Differential- und Differenzengleichungen zusammenhängen. Zbl 0050.31002
Berezanskij, Yu. M.
2
1953
Hypercomplex systems with continuous basis. Zbl 0100.32206
Berezanskij, Yu. M.; Krejn, S. G.
2
1960
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.
1
2008
Recursion relation for orthogonal polynomials on the complex plane. Zbl 1164.42017
Berezansky, Yu. M.; Ivasiuk, I. Ya.; Mokhonko, O. A.
1
2008
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
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
Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500
Berezanskij, Yu. M.; Konstantinov, A. Yu.
1
1992
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
Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem. Zbl 1374.47025
Berezansky, Yu. M.
1
2016
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
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
The investigation of a generalized moment problem associated with correlation measures. Zbl 1144.47305
Berezansky, Yu. M.; Mierzejewski, D. A.
1
2007
Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079
Berezansky, Yurij M.
1
1998
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
Spectral theory of commutative Jacobi fields: Direct and inverse problems. Zbl 0977.47016
Berezansky, Yurij M.
1
2000
Nonisospectral nonlinear difference equations. Zbl 0723.39006
Berezanskiĭ, Yu. M.; Shmoĭsh, M. E.
1
1990
Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009
Berezansky, Yurij M.
1
2002
Generalized selfadjoint operators and their singular perturbations. Zbl 1074.47505
Berezansky, Yurij M.; Brasche, Johannes
1
2002
Infinite-dimensional non-Gaussian analysis and generalized translation operators. Zbl 0957.46031
Berezanskij, Yu. M.
1
1996
On an eigenfunction expansion for selfadjoint operators. Zbl 0206.13404
Berezanskiĭ, Yu. M.
1
1970
Ein verallgemeinertes symmetrisches Potenz-Momentenproblem. Zbl 0217.44003
Berezanskiĭ, Yu. M.; Shifrin, S. N.
1
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
Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063
Berezanskiĭ, Yu. M.; Gali, I. M.
1
1972
On positive definite functions of infinitely many variables. Zbl 0261.47012
Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A.
1
1972
Self-adjointness of elliptic operators with an infinite number of variables. Zbl 0327.47020
Berezanskij, Yu. M.
1
1976
Spectral representations of solutions of some classes of functional and differential equations. Zbl 0391.47009
Berezanskij, Yu. M.
1
1978
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
Construction of generalized translation operators from the system of Appell characters. Zbl 0917.46039
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
On the boundary value problems for general partial differential operators. Zbl 0088.07103
Berezanskij, Yu. M.
1
1958
Poisson measure as a spectral measure of a family of commuting selfadjoint operators, connected with some moment problem. Zbl 1374.47025
Berezansky, Yu. M.
1
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
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.
1
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.
6
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.
3
2002
Pascal measure on generalized functions and the corresponding generalized Meixner polynomials. Zbl 1004.28009
Berezansky, Yurij M.
1
2002
Generalized selfadjoint operators and their singular perturbations. Zbl 1074.47505
Berezansky, Yurij M.; Brasche, Johannes
1
2002
The chaotic decomposition for the gamma field. Zbl 0994.60068
Berezansky, Yu. M.; Mierzejewski, D. A.
2
2001
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
The works of M. G. Krein on eigenfunction expansion for selfadjoint operators and their applications and development. Zbl 0955.47002
Berezansky, Yu. M.
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
12
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.
13
1998
Commutative Jacobi fields in Fock space. Zbl 0896.60019
Berezansky, Yurij M.
11
1998
Infinite-dimensional non-Gaussian analysis connected with generalized translation operators. Zbl 0933.60079
Berezansky, Yurij M.
1
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 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.
27
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.
28
1995
Spectral methods in infinite-dimensional analysis. Vol. 1, 2. Zbl 0832.47001
Berezanskij, Yu. M.; Kondratiev, Yu. G.
6
1995
Hypercomplex systems and hypergroups: connections and distinctions. Zbl 0839.43009
Berezansky, Yu. M.; Kalyuzhnyi, A. A.
4
1995
A generalization of Gaussian white noise analysis. Zbl 0870.60037
Berezansky, Yu. M.; Livinsky, V. O.; Lytvynov, E. W.
4
1995
Nonisospectral flows on semi-infinite Jacobi matrices. Zbl 0952.35137
Berezansky, Yurij; Shmoish, Michael
8
1994
On eigenvector expansion of multiparameter spectral problems. Zbl 0895.47013
Berezanskij, Yu. M.; Konstantinov, A. Yu.
1
1992
Eigenvector expansion of multiparameter spectral problems. Zbl 0939.47500
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.
9
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.
5
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
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
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.
3
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
The integration of semi-infinite Toda chain by means of inverse spectral problem. Zbl 0652.35098
Berezanskij, Yu. M.
25
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.
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 0596.47019
Berezanskij, Yu. M.
4
1986
Integration of nonlinear difference equations by the inverse spectral problem method. Zbl 0595.39003
Berezanskij, Yu. M.
8
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.
2
1981
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
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
Positiv definite Funktionen einer unendlichen Anzahl von Veränderlichen in der Belegung. Zbl 0245.46063
Berezanskiĭ, Yu. M.; Gali, I. M.
1
1972
On positive definite functions of infinitely many variables. Zbl 0261.47012
Berezanskiĭ, Yu. M.; Gali, I. M.; Zurk, V. A.
1
1972
Ein verallgemeinertes symmetrisches Potenz-Momentenproblem. Zbl 0217.44003
Berezanskiĭ, Yu. M.; Shifrin, S. N.
1
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.
95
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.
68
1965
The uniqueness theorem in the inverse problem of spectral analysis for the Schrödinger equation. Zbl 0125.33501
Berezanskij, J. M.
3
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.
7
1959
On the boundary value problems for general partial differential operators. Zbl 0088.07103
Berezanskij, Yu. M.
1
1958
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.
2
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 top 5

Cited by 430 Authors

22 Kondrat’yev, Yuriĭ Grygorovych
21 Berezans’kyĭ, Yuriĭ Makarovych
17 Lytvynov, Eugene W.
13 Malamud, Mark M.
12 Albeverio, Sergio A.
7 Bruk, Vladislav Moiseevich
7 Röckner, Michael
6 Finkelshteĭn, Dmitriĭ Leonidovich
6 Gekhtman, Mikhaèl I.
6 Grothaus, Martin
6 Kachanovsky, Nikolai A.
5 Koshmanenko, Volodymyr Dmytrovych
5 Kuna, Tobias
5 Naboko, Serguei N.
5 Oliveira, Maria João
5 Riahi, Anis
5 Sakhnovich, Alexander L.
4 Dudkin, Mykola E.
4 Guseinov, Gusein Sh.
4 Hu, Xingbiao
4 Janas, Jan
4 Khanmamedov, Agil Khanmamed ogly
4 Koelink, Erik
4 Kutoviy, Oleksandr V.
4 Neidhardt, Hagen
4 Samoĭlenko, Yuriĭ Stefanovych
4 Van Assche, Walter
3 Accardi, Luigi
3 Allahverdiev, Bilender Paşaoğlu
3 Arlins’kyĭ, Yuriĭ Moĭseĭovych
3 Bairamov, Elgiz
3 Barhoumi, Abdessatar
3 Budyka, Viktoriya S.
3 Chang, Xiangke
3 Delvos, Franz-Jürgen
3 Derkach, Vladimir Alexandrovich
3 Durán, Antonio José
3 Dyuzhenkova, O. Yu.
3 Frolov, N. N.
3 Guerra, Manuel
3 Infusino, Maria
3 Kalinichenko, Dina Yu.
3 Kalyuzhny, A. A.
3 Koprubasi, Turhan
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 Rehberg, Joachim
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
3 Zagorodnyuk, Sergey Mihaylovich
2 Anan’eva, Aleksandra Yur’evna
2 Beckermann, Bernhard
2 Bischoff, Marcel
2 Bloch, Anthony Michael
2 Bogolyubov, Nikolaĭ Nikolaevich jun.
2 Boutet de Monvel, Anne Marie
2 Bozejko, Marek
2 Chernobai, O. B.
2 Chistyakov, Gennadiy P.
2 Clark, Steve
2 Cojuhari, Petru A.
2 Daletskii, Alexei
2 Del Vecchio, Simone
2 Derevyagin, Maxim S.
2 Dijksma, Aad
2 Dinariev, Oleg Yurevich
2 Dym, Harry
2 Dyukarev, Yury M.
2 El-Zahaby, S. A.
2 Fishel, B.
2 Frei, Maria M.
2 Gesztesy, Fritz
2 Gheondea, Aurelian
2 Giorgetti, Luca
2 Golenia, Jolanta
2 Götze, Friedrich
2 Günzler, Hans
2 Hassi, Seppo
2 Hounkonnou, Mahouton Norbert
2 Huseynov, Adil
2 Karlovych, Oleksiy
2 Kiselev, Alexander A.
2 Kodama, Yuji
2 Kostenko, Aleksey S.
2 Kotlyarov, Vladimir P.
2 Kuchment, Peter A.
2 Kuhlmann, Salma
2 Last, Yoram
...and 330 more Authors
all top 5

Cited in 143 Serials

34 Journal of Functional Analysis
32 Ukrainian Mathematical Journal
17 Reports on Mathematical Physics
15 Infinite Dimensional Analysis, Quantum Probability and Related Topics
14 Journal of Mathematical Analysis and Applications
13 Mathematical Notes
12 Functional Analysis and its Applications
12 Journal of Computational and Applied Mathematics
12 Differential Equations
9 Communications in Mathematical Physics
9 Journal of Mathematical Physics
8 Integral Equations and Operator Theory
8 Journal of Approximation Theory
8 Journal of Differential Equations
6 Siberian Mathematical Journal
6 Doklady Mathematics
6 Complex Analysis and Operator Theory
5 Linear Algebra and its Applications
5 Carpathian Mathematical Publications
4 Reviews in Mathematical Physics
4 Transactions of the American Mathematical Society
4 Indagationes Mathematicae. New Series
4 Journal of Mathematical Sciences (New York)
3 Journal of Statistical Physics
3 Letters in Mathematical Physics
3 Advances in Mathematics
3 Annales de l’Institut Fourier
3 Applied Mathematics and Computation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Physica D
3 Constructive Approximation
3 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Journal of Applied Mathematics and Mechanics
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 Numerical Functional Analysis and Optimization
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 Russian Mathematics
2 Russian Journal of Mathematical Physics
2 Bulletin des Sciences Mathématiques
2 Communications in Nonlinear Science and Numerical Simulation
2 Mediterranean Journal of Mathematics
2 Stochastics
2 Journal of Spectral Theory
2 Problemy Analiza. Issues of Analysis
2 Concrete Operators
1 Analysis Mathematica
1 Communications in Algebra
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 Numerische Mathematik
1 Results in Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
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 Acta Mathematica Universitatis Comenianae. New Series
1 Communications in Partial Differential Equations
1 Stochastic Processes and their Applications
1 Expositiones Mathematicae
1 Continuum Mechanics and Thermodynamics
...and 43 more Serials
all top 5

Cited in 43 Fields

170 Operator theory (47-XX)
91 Partial differential equations (35-XX)
80 Functional analysis (46-XX)
63 Probability theory and stochastic processes (60-XX)
61 Ordinary differential equations (34-XX)
52 Quantum theory (81-XX)
38 Dynamical systems and ergodic theory (37-XX)
27 Special functions (33-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
21 Difference and functional equations (39-XX)
19 Statistical mechanics, structure of matter (82-XX)
18 Linear and multilinear algebra; matrix theory (15-XX)
18 Numerical analysis (65-XX)
16 Integral transforms, operational calculus (44-XX)
14 Functions of a complex variable (30-XX)
14 Abstract harmonic analysis (43-XX)
13 Measure and integration (28-XX)
9 Approximations and expansions (41-XX)
9 Integral equations (45-XX)
9 Global analysis, analysis on manifolds (58-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)
4 History and biography (01-XX)
4 Combinatorics (05-XX)
4 Number theory (11-XX)
4 Fluid mechanics (76-XX)
4 Systems theory; control (93-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
2 Sequences, series, summability (40-XX)
2 Statistics (62-XX)
2 Mechanics of particles and systems (70-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 Algebraic topology (55-XX)
1 Computer science (68-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.