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Vasilevski, Nikolai Leonidovich

Author ID: vasilevski.nikolai-l Recent zbMATH articles by "Vasilevski, Nikolai Leonidovich"
Published as: Vasilevski, Nikolai; Vasilevskij, N. L.; Vasilevski, N. L.; Vasilevski, Nikolai L.; Vasilevskii, N. L.; Vasilevski, N.; Vasilevski, Nikolaj L.; Vasilevskij, N.
Homepage: http://www.math.cinvestav.mx/~nvasilev
External Links: MGP · ResearchGate
Documents Indexed: 150 Publications since 1972, including 1 Book
5 Contributions as Editor
Biographic References: 3 Publications
Co-Authors: 38 Co-Authors with 92 Joint Publications
1,045 Co-Co-Authors
all top 5

Serials

27 Integral Equations and Operator Theory
10 Soviet Mathematics. Doklady
7 Complex Analysis and Operator Theory
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Communications in Mathematical Analysis
5 Operator Theory: Advances and Applications
4 Journal of Functional Analysis
4 Mathematische Nachrichten
4 Complex Variables. Theory and Application
3 Journal of Mathematical Sciences (New York)
3 Doklady Mathematics
2 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
2 Mathematical Notes
2 Differentsial’nye Uravneniya
2 Differential Equations
2 Mathematics of the USSR. Izvestiya
2 Siberian Mathematical Journal
2 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR
2 Soviet Mathematics
2 Journal of Operator Theory
2 Journal of Integral Equations
2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
2 Indagationes Mathematicae. New Series
1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
1 Journal of Mathematical Analysis and Applications
1 Ukrainian Mathematical Journal
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Matematicheskiĭ Sbornik. Novaya Seriya
1 Matematički Vesnik
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Acta Applicandae Mathematicae
1 Journal of Natural Geometry
1 Mathematics of the USSR, Sbornik
1 Russian Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Complex Variables and Elliptic Equations
1 Contemporary Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Function Spaces

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,048 times in 392 Documents Cited by Year
Commutative algebras of Toeplitz operators on the Bergman space. Zbl 1168.47057
Vasilevski, Nikolai L.
110
2008
Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. I: \(\psi\)-hyperholomorphic functions theory. Zbl 0847.30033
Shapiro, M. V.; Vasilevski, N. L.
61
1995
On the structure of Bergman and poly-Bergman spaces. Zbl 0931.46023
Vasilevski, N. L.
57
1999
Poly-Fock spaces. Zbl 0959.46016
Vasilevski, N. L.
50
2000
Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators. Zbl 1144.47024
Quiroga-Barranco, Raul; Vasilevski, Nikolai
47
2007
Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk. Zbl 1100.47023
Grudsky, S.; Quiroga-Barranco, R.; Vasilevski, N.
46
2006
Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015
Grudsky, S. M.; Vasilevski, N. L.
32
2002
Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. II: Algebras of singular integral operators and Riemann type boundary value problems. Zbl 0854.30034
Shapiro, M. V.; Vasilevski, N. L.
31
1995
Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators. Zbl 1216.47050
Vasilevski, Nikolai
31
2010
Toeplitz operators on the unit ball in \({\mathbb C}^n\) with radial symbols. Zbl 1027.32010
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
28
2003
Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. II: Geometry of the level sets of symbols. Zbl 1144.47025
Quiroga-Barranco, Raul; Vasilevski, Nikolai
26
2008
Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023
Grudsky, S.; Vasilevski, N.
25
2001
Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058
Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L.
24
2013
On the Bergmann kernel function in hyperholomorphic analysis. Zbl 0877.30025
Shapiro, Michael V.; Vasilevski, Nikolai L.
23
1997
Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball. Zbl 1338.47022
Bauer, Wolfram; Herrera Yañez, Crispin; Vasilevski, Nikolai
20
2014
Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions. Zbl 1293.47029
Herrera Yañez, Crispin; Maximenko, Egor A.; Vasilevski, Nikolai
19
2013
Dynamics of properties of Toeplitz operators with radial symbols. Zbl 1076.47020
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
18
2004
Poly-Bergman spaces and two-dimensional singular integral operators. Zbl 1109.30038
Vasilevski, Nikolai
16
2006
Bergman space structure, commutative algebras of Toeplitz operators, and hyperbolic geometry. Zbl 1040.47023
Vasilevski, N. L.
16
2003
Toeplitz operators on the Bergman spaces: Inside-the-domain effects. Zbl 1054.47512
Vasilevski, Nikolai L.
15
2001
C*-algebra generated by horizontal Toeplitz operators on the Fock space. Zbl 1369.47033
Esmeral, Kevin; Vasilevski, Nikolai
15
2016
Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
14
2004
On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols. Zbl 1276.47033
Bauer, Wolfram; Vasilevski, Nikolai
14
2012
On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. I: Generating subalgebras. Zbl 1393.47016
Bauer, Wolfram; Vasilevski, Nikolai
14
2013
On the Bergman kernel function in the Clifford analysis. Zbl 0835.30037
Shapiro, Michael V.; Vasilevski, Nikolai L.
13
1993
Parabolic quasi-radial quasi-homogeneous symbols and commutative algebras of Toeplitz operators. Zbl 1205.47028
Vasilevski, Nikolai
13
2010
On Bergman-Toeplitz operators with commutative symbol algebras. Zbl 0935.47025
Vasilevski, N. L.
12
1999
\(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane. Zbl 1329.47078
Esmeral, Kevin; Maximenko, Egor A.; Vasilevski, Nikolai
12
2015
Banach algebras of commuting Toeplitz operators on the unit ball via the quasi-hyperbolic group. Zbl 1286.47019
Bauer, Wolfram; Vasilevski, Nikolai
11
2012
Commutative Toeplitz Banach algebras on the ball and quasi-nilpotent group action. Zbl 1263.47032
Bauer, Wolfram; Vasilevski, Nikolai
10
2012
Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
10
2004
Commutative algebras of Toeplitz operators on the Reinhardt domains. Zbl 1135.47057
Quiroga-Barranco, Raul; Vasilevski, Nikolai
9
2007
\(C^*\)-algebras generated by orthogonal projections and their applications. Zbl 0899.46046
Vasilevski, N. L.
8
1998
Toeplitz operators on the Bergman spaces with pseudodifferential defining symbols. Zbl 1282.47042
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
8
2013
Poly-analytic functions and representation theory. Zbl 1476.30173
Turbiner, Alexander V.; Vasilevski, Nikolai
8
2021
Toeplitz operators defined by sesquilinear forms: Bergman space case. Zbl 1346.47009
Rozenblum, Grigori; Vasilevski, N.
8
2016
On algebras generated by Toeplitz operators and their representations. Zbl 1369.47029
Bauer, Wolfram; Vasilevski, Nikolai
8
2017
Toeplitz operators defined by sesquilinear forms: Fock space case. Zbl 1342.47044
Rozenblum, Grigori; Vasilevski, Nikolai
8
2014
Toeplitz operators in polyanalytic Bergman type spaces. Zbl 1441.30081
Rozenblum, Grigori; Vasilevski, Nikolai
7
2019
\((m, \lambda)\)-Berezin transform and approximation of operators on weighted Bergman spaces over the unit ball. Zbl 1327.47024
Bauer, Wolfram; Herrera Yañez, Crispin; Vasilevski, Nikolai
7
2014
Group convolution operators on standard CR-manifolds. I: Structural properties. Zbl 0829.43005
Vasilevski, N. L.; Trujillo, R.
6
1994
Algebras of Toeplitz operators on the \(n\)-dimensional unit ball. Zbl 1508.47128
Bauer, Wolfram; Hagger, Raffael; Vasilevski, Nikolai
6
2019
On Toeplitz operators with quasi-radial and pseudo-homogeneous symbols. Zbl 1485.47048
Vasilevski, Nikolai
6
2017
Uniform continuity and quantization on bounded symmetric domains. Zbl 1443.47029
Bauer, Wolfram; Hagger, Raffael; Vasilevski, Nikolai
6
2017
Toeplitz operators on the weighted Bergman space over the two-dimensional unit ball. Zbl 1321.47158
García, Alma; Vasilevski, Nikolai
6
2015
On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. II: Gelfand theory. Zbl 1361.47006
Bauer, Wolfram; Vasilevski, Nikolai
6
2015
Convolution operators on standard CR-manifolds. II: Algebras of convolution operators on the Heisenberg group. Zbl 0829.43006
Vasilevski, Nikolai L.
5
1994
Dynamics of properties of Toeplitz operators on weighted Bergman spaces. Zbl 1120.47305
Vasilevskii, N. L.; Grudskii, S. M.; Karapetyants, A. N.
5
2006
Algebras of singular integral operators generated by three orthogonal projections. Zbl 0857.47018
Ramírez de Arellano, Enrique; Vasilevski, Nikolai L.
5
1996
Radial Toeplitz operators revisited: discretization of the vertical case. Zbl 1343.47037
Herrera Yañez, Crispin; Vasilevski, Nikolai; Maximenko, Egor A.
5
2015
Commutative algebras of Toeplitz operators on a Siegel domain associated with the nilpotent group of its biholomorphisms. Zbl 1381.47024
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
5
2017
Commutative algebras generated by Toeplitz operators on the unit sphere. Zbl 1445.47053
Loaiza, Maribel; Vasilevski, Nikolai
5
2020
Quaternionic differential and integral operators and the \(\bar \partial\)- problem. Zbl 0810.30040
Porter, R. Michael; Shapiro, Michael; Vasilevski, Nikolai
4
1994
Banach algebras generated by two-dimensional integral operators with a Bergman kernel and piecewise continuous coefficients. II. Zbl 0641.47027
Vasilevskij, N. L.
4
1986
Toeplitz operators on the Fock space with presymbols discontinuous on a thick set. Zbl 0853.47016
Ramírez de Arellano, Enrique; Vasilevski, Nikolai L.
4
1996
Banach algebras produced by two-dimensional integral operators with a Bergman kernel and piecewise continuous coefficients. I. Zbl 0614.47029
Vasilevskij, N. L.
4
1986
Bargmann projection, three-valued functions and corresponding Toeplitz operators. Zbl 0905.47018
Ramírez de Arellano, Enrique; Vasilevski, Nikolai
3
1998
On the Toeplitz operator with piecewise continuous symbols on the Bergman space. Zbl 1123.47025
Vasilevski, N.
3
2006
On the analogue of the \(\overline {\partial}\)-problem in quaternionic analysis. Zbl 0834.30031
Porter, R. Michael; Shapiro, Michael V.; Vasilevski, Nikolai L.
3
1993
\(\mathcal{L}\)-invariant Fock-Carleson type measures for derivatives of order \(k\) and the corresponding Toeplitz operators. Zbl 07139976
Esmeral, K.; Rozenblum, G.; Vasilevski, N.
3
2019
On the structure of the \(C^{*}\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. Zbl 1186.47023
Grudsky, Sergei; Vasilevski, Nikolai
3
2008
Anatomy of the \(C^*\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. Zbl 1186.47024
Grudsky, Sergei; Vasilevski, Nikolai
3
2009
Algebras of Toeplitz operator on the three-dimensional Siegel domain. Zbl 06946546
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
3
2018
Toeplitz operators with discontinuous presymbols in the Fock space. Zbl 0909.47017
Vasilevskij, N.; Kisil, V.; Ramirez, E.; Trujillo, R.
2
1995
Symbols of operator algebras. Zbl 0375.46057
Vasilevskii, N. L.
2
1977
Bergman, Toeplitz and pseudodifferential operators. Zbl 0948.47032
Rabinovich, V.; Vasilevski, N.
2
2000
On quaternionic Bergman and poly-Bergman spaces. Zbl 1038.30023
Vasilevski, N. L.
2
2000
On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. Zbl 0992.45008
Karapetyants, A. N.; Rabinovich, V. S.; Vasilevski, N. L.
2
2001
Microlocal analysis of the Bochner-Martinelli integral. Zbl 1135.32005
Tarkhanov, Nikolai; Vasilevski, Nikolai
2
2007
On the algebra generated by singular integral operators with a Carleman shift in the case of piecewise continuous coefficients. Zbl 0342.47027
Vasilevskij, N. L.; Shapiro, M. V.
2
1975
On an algebra generated by two-dimensional singular integral operators in plane domains. Zbl 0842.45011
Vasilevski, N. L.
2
1994
The hyperholomorphic Bergman projector and its properties. Zbl 0856.30038
Ramírez de Arellano, Enrique; Shapiro, Michael V.; Vasilevski, Nikolai L.
2
1996
Yet another approach to poly-Bergman spaces. Zbl 1498.30022
Vasilevski, Nikolai
2
2022
Commutative algebras of Toeplitz operators and Berezin quantization. Zbl 1159.47013
Vasilevski, Nikolai
2
2008
On commutative \(C^\ast \)-algebras generated by Toeplitz operators with \(\mathbb{T}^m \)-invariant symbols. Zbl 1476.47100
Vasilevski, Nikolai
2
2018
On the algebra generated by two projectors. Zbl 0473.47030
Vasilevskij, N. L.; Spitkovskij, I. M.
2
1981
Toeplitz operators via sesquilinear forms. Zbl 1464.47020
Rozenblum, Grigori; Vasilevski, Nikolai
1
2018
Commutative algebras of Toeplitz operators and hyperbolic geometry. Zbl 1096.47063
Vasilevski, N. L.
1
2002
On the Noether conditions and a formula for the index of a class of integral operators. Zbl 0254.45006
Vasilevskii, N. L.
1
1972
On the Noetherian theory of integral operators with a polar logarithmic kernel. Zbl 0308.47040
Vasilevskii, N. L.
1
1974
On the symbol of operators forming finite-dimensional algebras. Zbl 0318.46078
Vasilevskii, N. L.; Gutnikov, E. V.
1
1975
On the algebra generated by the Bergman projection and a shift operator. I. Zbl 1031.30021
Ramírez Ortega, J.; Vasilevski, N. L.; Ramírez de Arellano, E.
1
2003
Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane. Zbl 07244868
Rozenblum, Grigori; Vasilevski, Nikolai
1
2020
Algebras generated by multidimensional singular integral operators and by coefficients admitting discontinuities of homogeneous type. Zbl 0623.47064
Vasilevskij, N. L.
1
1987
The Bergman space in tube domains, and commuting Toeplitz operators. Zbl 1052.46014
Vasilevskij, N. L.
1
2000
Commutative algebras of Toeplitz operators on the Bergman space revisited: spectral theorem approach. Zbl 1503.30126
Rozenblum, Grigori; Vasilevski, Nikolai
1
2022
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols. Zbl 07486023
Rodríguez, Miguel A. Rodríguez; Vasilevski, Nikolai
1
2022
On an algebra generated by Toeplitz operators with zero-order pseudodifferential presymbols. Zbl 0631.47014
Vasilevskij, N. L.
1
1987
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
1
2011
Toeplitz operators in the Herglotz space. Zbl 06708454
Rozenblum, Grigori; Vasilevski, Nikolai
1
2016
On the polyanalytic and anti-polyanalytic function spaces. Zbl 07798358
Vasilevski, Nikolai
1
2022
Yet another approach to poly-Bergman spaces. Zbl 1498.30022
Vasilevski, Nikolai
2
2022
Commutative algebras of Toeplitz operators on the Bergman space revisited: spectral theorem approach. Zbl 1503.30126
Rozenblum, Grigori; Vasilevski, Nikolai
1
2022
Toeplitz operators on the Hardy space with generalized pseudo-homogeneous symbols. Zbl 07486023
Rodríguez, Miguel A. Rodríguez; Vasilevski, Nikolai
1
2022
On the polyanalytic and anti-polyanalytic function spaces. Zbl 07798358
Vasilevski, Nikolai
1
2022
Poly-analytic functions and representation theory. Zbl 1476.30173
Turbiner, Alexander V.; Vasilevski, Nikolai
8
2021
Commutative algebras generated by Toeplitz operators on the unit sphere. Zbl 1445.47053
Loaiza, Maribel; Vasilevski, Nikolai
5
2020
Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane. Zbl 07244868
Rozenblum, Grigori; Vasilevski, Nikolai
1
2020
Toeplitz operators in polyanalytic Bergman type spaces. Zbl 1441.30081
Rozenblum, Grigori; Vasilevski, Nikolai
7
2019
Algebras of Toeplitz operators on the \(n\)-dimensional unit ball. Zbl 1508.47128
Bauer, Wolfram; Hagger, Raffael; Vasilevski, Nikolai
6
2019
\(\mathcal{L}\)-invariant Fock-Carleson type measures for derivatives of order \(k\) and the corresponding Toeplitz operators. Zbl 07139976
Esmeral, K.; Rozenblum, G.; Vasilevski, N.
3
2019
Algebras of Toeplitz operator on the three-dimensional Siegel domain. Zbl 06946546
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
3
2018
On commutative \(C^\ast \)-algebras generated by Toeplitz operators with \(\mathbb{T}^m \)-invariant symbols. Zbl 1476.47100
Vasilevski, Nikolai
2
2018
Toeplitz operators via sesquilinear forms. Zbl 1464.47020
Rozenblum, Grigori; Vasilevski, Nikolai
1
2018
On algebras generated by Toeplitz operators and their representations. Zbl 1369.47029
Bauer, Wolfram; Vasilevski, Nikolai
8
2017
On Toeplitz operators with quasi-radial and pseudo-homogeneous symbols. Zbl 1485.47048
Vasilevski, Nikolai
6
2017
Uniform continuity and quantization on bounded symmetric domains. Zbl 1443.47029
Bauer, Wolfram; Hagger, Raffael; Vasilevski, Nikolai
6
2017
Commutative algebras of Toeplitz operators on a Siegel domain associated with the nilpotent group of its biholomorphisms. Zbl 1381.47024
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
5
2017
C*-algebra generated by horizontal Toeplitz operators on the Fock space. Zbl 1369.47033
Esmeral, Kevin; Vasilevski, Nikolai
15
2016
Toeplitz operators defined by sesquilinear forms: Bergman space case. Zbl 1346.47009
Rozenblum, Grigori; Vasilevski, N.
8
2016
Toeplitz operators in the Herglotz space. Zbl 06708454
Rozenblum, Grigori; Vasilevski, Nikolai
1
2016
\(C^*\)-algebra generated by angular Toeplitz operators on the weighted Bergman spaces over the upper half-plane. Zbl 1329.47078
Esmeral, Kevin; Maximenko, Egor A.; Vasilevski, Nikolai
12
2015
Toeplitz operators on the weighted Bergman space over the two-dimensional unit ball. Zbl 1321.47158
García, Alma; Vasilevski, Nikolai
6
2015
On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. II: Gelfand theory. Zbl 1361.47006
Bauer, Wolfram; Vasilevski, Nikolai
6
2015
Radial Toeplitz operators revisited: discretization of the vertical case. Zbl 1343.47037
Herrera Yañez, Crispin; Vasilevski, Nikolai; Maximenko, Egor A.
5
2015
Eigenvalue characterization of radial operators on weighted Bergman spaces over the unit ball. Zbl 1338.47022
Bauer, Wolfram; Herrera Yañez, Crispin; Vasilevski, Nikolai
20
2014
Toeplitz operators defined by sesquilinear forms: Fock space case. Zbl 1342.47044
Rozenblum, Grigori; Vasilevski, Nikolai
8
2014
\((m, \lambda)\)-Berezin transform and approximation of operators on weighted Bergman spaces over the unit ball. Zbl 1327.47024
Bauer, Wolfram; Herrera Yañez, Crispin; Vasilevski, Nikolai
7
2014
Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058
Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L.
24
2013
Vertical Toeplitz operators on the upper half-plane and very slowly oscillating functions. Zbl 1293.47029
Herrera Yañez, Crispin; Maximenko, Egor A.; Vasilevski, Nikolai
19
2013
On the structure of commutative Banach algebras generated by Toeplitz operators on the unit ball. Quasi-elliptic case. I: Generating subalgebras. Zbl 1393.47016
Bauer, Wolfram; Vasilevski, Nikolai
14
2013
Toeplitz operators on the Bergman spaces with pseudodifferential defining symbols. Zbl 1282.47042
Sánchez-Nungaray, Armando; Vasilevski, Nikolai
8
2013
On the structure of a commutative Banach algebra generated by Toeplitz operators with quasi-radial quasi-homogeneous symbols. Zbl 1276.47033
Bauer, Wolfram; Vasilevski, Nikolai
14
2012
Banach algebras of commuting Toeplitz operators on the unit ball via the quasi-hyperbolic group. Zbl 1286.47019
Bauer, Wolfram; Vasilevski, Nikolai
11
2012
Commutative Toeplitz Banach algebras on the ball and quasi-nilpotent group action. Zbl 1263.47032
Bauer, Wolfram; Vasilevski, Nikolai
10
2012
Algebras of pseudodifferential operators with discontinuous oscillating symbols. Zbl 1218.47135
Karlovich, Yu. I.; Rabinovich, V. S.; Vasilevski, N. L.
1
2011
Quasi-radial quasi-homogeneous symbols and commutative Banach algebras of Toeplitz operators. Zbl 1216.47050
Vasilevski, Nikolai
31
2010
Parabolic quasi-radial quasi-homogeneous symbols and commutative algebras of Toeplitz operators. Zbl 1205.47028
Vasilevski, Nikolai
13
2010
Anatomy of the \(C^*\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. Zbl 1186.47024
Grudsky, Sergei; Vasilevski, Nikolai
3
2009
Commutative algebras of Toeplitz operators on the Bergman space. Zbl 1168.47057
Vasilevski, Nikolai L.
110
2008
Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. II: Geometry of the level sets of symbols. Zbl 1144.47025
Quiroga-Barranco, Raul; Vasilevski, Nikolai
26
2008
On the structure of the \(C^{*}\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. Zbl 1186.47023
Grudsky, Sergei; Vasilevski, Nikolai
3
2008
Commutative algebras of Toeplitz operators and Berezin quantization. Zbl 1159.47013
Vasilevski, Nikolai
2
2008
Commutative \(C^*\)-algebras of Toeplitz operators on the unit ball. I: Bargmann-type transforms and spectral representations of Toeplitz operators. Zbl 1144.47024
Quiroga-Barranco, Raul; Vasilevski, Nikolai
47
2007
Commutative algebras of Toeplitz operators on the Reinhardt domains. Zbl 1135.47057
Quiroga-Barranco, Raul; Vasilevski, Nikolai
9
2007
Microlocal analysis of the Bochner-Martinelli integral. Zbl 1135.32005
Tarkhanov, Nikolai; Vasilevski, Nikolai
2
2007
Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk. Zbl 1100.47023
Grudsky, S.; Quiroga-Barranco, R.; Vasilevski, N.
46
2006
Poly-Bergman spaces and two-dimensional singular integral operators. Zbl 1109.30038
Vasilevski, Nikolai
16
2006
Dynamics of properties of Toeplitz operators on weighted Bergman spaces. Zbl 1120.47305
Vasilevskii, N. L.; Grudskii, S. M.; Karapetyants, A. N.
5
2006
On the Toeplitz operator with piecewise continuous symbols on the Bergman space. Zbl 1123.47025
Vasilevski, N.
3
2006
Dynamics of properties of Toeplitz operators with radial symbols. Zbl 1076.47020
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
18
2004
Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
14
2004
Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
10
2004
Toeplitz operators on the unit ball in \({\mathbb C}^n\) with radial symbols. Zbl 1027.32010
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
28
2003
Bergman space structure, commutative algebras of Toeplitz operators, and hyperbolic geometry. Zbl 1040.47023
Vasilevski, N. L.
16
2003
On the algebra generated by the Bergman projection and a shift operator. I. Zbl 1031.30021
Ramírez Ortega, J.; Vasilevski, N. L.; Ramírez de Arellano, E.
1
2003
Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015
Grudsky, S. M.; Vasilevski, N. L.
32
2002
Commutative algebras of Toeplitz operators and hyperbolic geometry. Zbl 1096.47063
Vasilevski, N. L.
1
2002
Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023
Grudsky, S.; Vasilevski, N.
25
2001
Toeplitz operators on the Bergman spaces: Inside-the-domain effects. Zbl 1054.47512
Vasilevski, Nikolai L.
15
2001
On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols. Zbl 0992.45008
Karapetyants, A. N.; Rabinovich, V. S.; Vasilevski, N. L.
2
2001
Poly-Fock spaces. Zbl 0959.46016
Vasilevski, N. L.
50
2000
Bergman, Toeplitz and pseudodifferential operators. Zbl 0948.47032
Rabinovich, V.; Vasilevski, N.
2
2000
On quaternionic Bergman and poly-Bergman spaces. Zbl 1038.30023
Vasilevski, N. L.
2
2000
The Bergman space in tube domains, and commuting Toeplitz operators. Zbl 1052.46014
Vasilevskij, N. L.
1
2000
On the structure of Bergman and poly-Bergman spaces. Zbl 0931.46023
Vasilevski, N. L.
57
1999
On Bergman-Toeplitz operators with commutative symbol algebras. Zbl 0935.47025
Vasilevski, N. L.
12
1999
\(C^*\)-algebras generated by orthogonal projections and their applications. Zbl 0899.46046
Vasilevski, N. L.
8
1998
Bargmann projection, three-valued functions and corresponding Toeplitz operators. Zbl 0905.47018
Ramírez de Arellano, Enrique; Vasilevski, Nikolai
3
1998
On the Bergmann kernel function in hyperholomorphic analysis. Zbl 0877.30025
Shapiro, Michael V.; Vasilevski, Nikolai L.
23
1997
Algebras of singular integral operators generated by three orthogonal projections. Zbl 0857.47018
Ramírez de Arellano, Enrique; Vasilevski, Nikolai L.
5
1996
Toeplitz operators on the Fock space with presymbols discontinuous on a thick set. Zbl 0853.47016
Ramírez de Arellano, Enrique; Vasilevski, Nikolai L.
4
1996
The hyperholomorphic Bergman projector and its properties. Zbl 0856.30038
Ramírez de Arellano, Enrique; Shapiro, Michael V.; Vasilevski, Nikolai L.
2
1996
Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. I: \(\psi\)-hyperholomorphic functions theory. Zbl 0847.30033
Shapiro, M. V.; Vasilevski, N. L.
61
1995
Quaternionic \(\psi\)-hyperholomorphic functions, singular integral operators and boundary value problems. II: Algebras of singular integral operators and Riemann type boundary value problems. Zbl 0854.30034
Shapiro, M. V.; Vasilevski, N. L.
31
1995
Toeplitz operators with discontinuous presymbols in the Fock space. Zbl 0909.47017
Vasilevskij, N.; Kisil, V.; Ramirez, E.; Trujillo, R.
2
1995
Group convolution operators on standard CR-manifolds. I: Structural properties. Zbl 0829.43005
Vasilevski, N. L.; Trujillo, R.
6
1994
Convolution operators on standard CR-manifolds. II: Algebras of convolution operators on the Heisenberg group. Zbl 0829.43006
Vasilevski, Nikolai L.
5
1994
Quaternionic differential and integral operators and the \(\bar \partial\)- problem. Zbl 0810.30040
Porter, R. Michael; Shapiro, Michael; Vasilevski, Nikolai
4
1994
On an algebra generated by two-dimensional singular integral operators in plane domains. Zbl 0842.45011
Vasilevski, N. L.
2
1994
On the Bergman kernel function in the Clifford analysis. Zbl 0835.30037
Shapiro, Michael V.; Vasilevski, Nikolai L.
13
1993
On the analogue of the \(\overline {\partial}\)-problem in quaternionic analysis. Zbl 0834.30031
Porter, R. Michael; Shapiro, Michael V.; Vasilevski, Nikolai L.
3
1993
Algebras generated by multidimensional singular integral operators and by coefficients admitting discontinuities of homogeneous type. Zbl 0623.47064
Vasilevskij, N. L.
1
1987
On an algebra generated by Toeplitz operators with zero-order pseudodifferential presymbols. Zbl 0631.47014
Vasilevskij, N. L.
1
1987
Banach algebras generated by two-dimensional integral operators with a Bergman kernel and piecewise continuous coefficients. II. Zbl 0641.47027
Vasilevskij, N. L.
4
1986
Banach algebras produced by two-dimensional integral operators with a Bergman kernel and piecewise continuous coefficients. I. Zbl 0614.47029
Vasilevskij, N. L.
4
1986
On the algebra generated by two projectors. Zbl 0473.47030
Vasilevskij, N. L.; Spitkovskij, I. M.
2
1981
Symbols of operator algebras. Zbl 0375.46057
Vasilevskii, N. L.
2
1977
On the algebra generated by singular integral operators with a Carleman shift in the case of piecewise continuous coefficients. Zbl 0342.47027
Vasilevskij, N. L.; Shapiro, M. V.
2
1975
On the symbol of operators forming finite-dimensional algebras. Zbl 0318.46078
Vasilevskii, N. L.; Gutnikov, E. V.
1
1975
On the Noetherian theory of integral operators with a polar logarithmic kernel. Zbl 0308.47040
Vasilevskii, N. L.
1
1974
On the Noether conditions and a formula for the index of a class of integral operators. Zbl 0254.45006
Vasilevskii, N. L.
1
1972
all top 5

Cited by 312 Authors

52 Vasilevski, Nikolai Leonidovich
19 Bory Reyes, Juan
17 Bauer, Wolfram
17 González-Cervantes, José Óscar
16 Sánchez-Nungaray, Armando
14 Rozenblum, Grigori V.
13 Abreu, Luís Daniel
13 Karapetyants, Alekseĭ Nikolaevich
13 Quiroga-Barranco, Raul
12 Abreu-Blaya, Ricardo
11 Karlovich, Yuri I.
11 Maksimenko, Egor A.
11 Taskinen, Jari
10 Morais, João Pedro
9 Hutník, Ondrej
9 Loaiza, Maribel
9 Lu, Yufeng
9 Pessoa, Luís V.
8 Gürlebeck, Klaus
8 Kraußhar, Rolf Sören
8 Sabadini, Irene
7 Kisil, Vladimir V.
7 Ramírez Ortega, Josué
7 Samko, Stefan Grigor’evich
7 Virtanen, Jani A.
6 Colombo, Fabrizio
6 Constales, Denis
6 Dong, Xingtang
6 Esmeral, Kevin
6 Herrera Yañez, Crispin
6 Kähler, Uwe
5 Ghanmi, Allal
5 Mouayn, Zouhaïr
5 Perotti, Alessandro
5 Shapiro, Michael V.
4 Bais, Shubham R.
4 Diki, Kamal
4 Espinoza-Loyola, Enrique
4 Grob, Dennis
4 Hagger, Raffael
4 Haimi, Antti
4 Hutníková, Mária
4 Kou, Kit-Ian
4 Le, Trieu
4 Lozano, Carmen
4 Morales-Ramos, Miguel Antonio
4 Mozel’, V. A.
4 Naidu, D. Venku
4 Ólafsson, Gestur
4 Romero, José Luis
4 Zhou, Zehua
3 Adán, Alí Guzmán
3 Alpay, Daniel Aron
3 Arroyo-Neri, Jorge Luis
3 Behera, Jitendra Kumar
3 Benahmadi, Abdelhadi
3 Bernstein, Swanhild
3 Bock, Sebastian
3 Bonet Solves, José
3 Cao, Guangfu
3 Das, Namita
3 Dawson, Matthew
3 De Martino, Antonino
3 De Schepper, Hennie
3 Fulsche, Robert
3 González-Campos, Daniel
3 Gröchenig, Karlheinz
3 Grudsky, Sergei Mikhailovich
3 Hernández-Marroquin, Mauricio
3 Jasiczak, Michał
3 Luef, Franz
3 Luna-Elizarrarás, María Elena
3 Mejjaoli, Hatem
3 Mora, María del Rosario Ramírez
3 Ramos-Vazquez, Gerardo
3 Rodriguez Rodriguez, Miguel Angel
3 Santiesteban, Daniel Alfonso
3 Xu, Tianzhou
3 Yang, Zhanpeng
3 Zhang, Bo
2 Balazs, Peter
2 Brackx, Fred F.
2 Cação, Isabel
2 Chakrabarti, Debraj
2 Choe, Boo Rim
2 Coburn, Lewis A.
2 Delgado, Briceyda B.
2 El Moize, Othmane
2 Gal, Sorin Gheorghe
2 Georgiev, Svetlin Georgiev
2 Gonzalez-Flores, Carlos
2 Hedenmalm, Håkan
2 Hu, Zhangjian
2 Issa, Hassan Ahmad
2 Jiang, Cao
2 Kordyukov, Yuri A.
2 Li, Ran
2 Liu, Liu
2 López-Martínez, Raquiel Rufino
2 Louhichi, Issam
...and 212 more Authors
all top 5

Cited in 99 Serials

48 Complex Analysis and Operator Theory
39 Integral Equations and Operator Theory
25 Advances in Applied Clifford Algebras
22 Journal of Mathematical Analysis and Applications
15 Journal of Functional Analysis
15 Complex Variables and Elliptic Equations
14 Mathematical Methods in the Applied Sciences
9 Boletín de la Sociedad Matemática Mexicana. Third Series
8 Journal of Mathematical Sciences (New York)
8 Journal of Function Spaces
7 Mathematical Notes
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the American Mathematical Society
5 Abstract and Applied Analysis
5 Acta Mathematica Sinica. English Series
5 Analysis and Mathematical Physics
4 Monatshefte für Mathematik
3 Journal of Statistical Physics
3 Advances in Mathematics
3 Archiv der Mathematik
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematische Nachrichten
3 The Journal of Geometric Analysis
3 Indagationes Mathematicae. New Series
3 The Journal of Fourier Analysis and Applications
3 Banach Journal of Mathematical Analysis
3 Journal of Spectral Theory
2 Journal of Mathematical Physics
2 Reports on Mathematical Physics
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Siberian Mathematical Journal
2 Applied and Computational Harmonic Analysis
2 Georgian Mathematical Journal
2 Fractals
2 The New York Journal of Mathematics
2 International Journal of Wavelets, Multiresolution and Information Processing
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Communications in Mathematical Analysis
2 Journal of Pseudo-Differential Operators and Applications
2 Annals of Functional Analysis
2 Journal of Siberian Federal University. Mathematics & Physics
2 Advances in Operator Theory
1 Analysis Mathematica
1 Applicable Analysis
1 Indian Journal of Pure & Applied Mathematics
1 Linear and Multilinear Algebra
1 Mathematics of Computation
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Algebra
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Mathematica Slovaca
1 Numerical Functional Analysis and Optimization
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the London Mathematical Society. Third Series
1 Quaestiones Mathematicae
1 Real Analysis Exchange
1 Results in Mathematics
1 Tokyo Journal of Mathematics
1 Transactions of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Bulletin of the Iranian Mathematical Society
1 Revista Matemática Iberoamericana
1 International Journal of Mathematics
1 Annals of Physics
1 Russian Mathematics
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Turkish Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Bernoulli
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 Revista Matemática Complutense
1 Differential Equations
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Communications on Pure and Applied Analysis
1 Computational Methods and Function Theory
1 Milan Journal of Mathematics
1 Journal of Intelligent and Fuzzy Systems
1 Journal of Function Spaces and Applications
1 Journal of Statistical Mechanics: Theory and Experiment
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Noncommutative Geometry
1 Operators and Matrices
1 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 São Paulo Journal of Mathematical Sciences
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Special Matrices
1 Journal of Nonlinear and Variational Analysis
1 Vestnik Rossiĭskikh Universitetov. Matematika
1 Graduate Journal of Mathematics

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