Edit Profile (opens in new tab) Vasilevski, Nikolai Leonidovich Co-Author Distance Author ID: vasilevski.nikolai-l Published as: Vasilevski, Nikolai; Vasilevskij, N. L.; Vasilevski, N. L.; Vasilevski, Nikolai L.; Vasilevskii, N. L.; Vasilevski, N.; Vasilevski, Nikolaj L.; Vasilevskij, N. more...less 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 Co-Authors 63 single-authored 16 Shapiro, Michael V. 14 Grudsky, Sergei Mikhailovich 12 Ramírez de Arellano, Enrique 10 Bauer, Wolfram 10 Rozenblum, Grigori V. 6 Karapetyants, Alekseĭ Nikolaevich 5 Quiroga-Barranco, Raul 4 Herrera Yañez, Crispin 4 Karelin, Alexander A. 4 Loaiza, Maribel 4 Lytvynchuk, Georgiĭ Semenovych 4 Maksimenko, Egor A. 4 Rabinovich, Vladimir Samuilovich 4 Sánchez-Nungaray, Armando 4 Trujillo, R. 3 Esmeral, Kevin 2 Garcia, Alma 2 Gutnikov, E. V. 2 Hagger, Raffael 2 Porter, R. Michael 2 Ramírez Ortega, Josué 1 Ball, Joseph Anthony 1 Curto, Raúl Enrique 1 Duduchava, Roland 1 Erusalimskii, Yakov M. 1 Gohberg, Israel 1 Helton, John William 1 Kaashoek, Marinus Adriaan 1 Karlovich, Yuri I. 1 Kisil, Vladimir V. 1 Kucherenko, Valeri V. 1 Lee, Erick 1 Rodriguez Rodriguez, Miguel Angel 1 Spitkovsky, Ilya Matvey 1 Tarkhanov, Nikolai N. 1 Tovar, Luis Manuel 1 Turbiner, Alexander 1 Vinnikov, Victor L. 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 all top 5 Fields 129 Operator theory (47-XX) 44 Functions of a complex variable (30-XX) 43 Several complex variables and analytic spaces (32-XX) 39 Functional analysis (46-XX) 28 Integral equations (45-XX) 6 Partial differential equations (35-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 32 Fields 230 Operator theory (47-XX) 179 Functions of a complex variable (30-XX) 87 Functional analysis (46-XX) 84 Several complex variables and analytic spaces (32-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 28 Quantum theory (81-XX) 25 Partial differential equations (35-XX) 23 Potential theory (31-XX) 16 Topological groups, Lie groups (22-XX) 13 Integral transforms, operational calculus (44-XX) 12 Integral equations (45-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Abstract harmonic analysis (43-XX) 9 Differential geometry (53-XX) 7 Special functions (33-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Information and communication theory, circuits (94-XX) 6 Probability theory and stochastic processes (60-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year