Edit Profile (opens in new tab) Grudsky, Sergei Mikhailovich Co-Author Distance Author ID: grudsky.sergei-m Published as: Grudsky, Sergei; Grudsky, S. M.; Grudsky, Sergei M.; Grudsky, S.; Grudskij, S. M.; Grudskij, Sergej M.; Grudskii, S. M.; Grudskiĭ, S. M.; Grudsky, Sergey more...less Homepage: https://www.math.cinvestav.mx/~grudsky/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 123 Publications since 1977, including 4 Books and 2 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 60 Co-Authors with 115 Joint Publications 1,524 Co-Co-Authors all top 5 Co-Authors 13 single-authored 54 Böttcher, Albrecht 18 Maksimenko, Egor A. 14 Vasilevski, Nikolai Leonidovich 10 Bogoya, Johan M. 8 Bogoya, Manuel 7 Karapetyants, Alekseĭ Nikolaevich 6 Rybkin, Alexei 6 Spitkovsky, Ilya Matvey 5 Ramírez de Arellano, Enrique 4 Barrera, Mauricio 4 Kozak, Anatoli V. 4 Latushkin, Yuri 4 Serra-Capizzano, Stefano 4 Shapiro, Michael V. 4 Silbermann, Bernd 4 Stukopin, Vladimir Alekseevich 3 Batalshchikov, A. A. 3 Iserles, Arieh 3 Kravchenko, Vladislav Viktorovich 3 Rabinovich, Vladimir Samuilovich 3 Soto-González, Alejandro 2 Duduchava, Roland 2 Dybin, V. B. 2 Erusalimskiĭ, Yakov Mikhaĭlovich 2 Gasca, Juanita 2 Gohberg, Israel 2 Quiroga-Barranco, Raul 2 Shargorodsky, Eugene 2 Tarkhanov, Nikolai N. 2 Unterberger, Jérémie M. 1 Babeshko, Vladimir Andreevich 1 Bachurskaya, A. F. 1 Ball, Joseph Anthony 1 Bauer, Wolfram 1 Carrada-Herrera, R. 1 Curto, Raúl Enrique 1 Derbenev, V. A. 1 Dodokhova, G. V. 1 Dybin, Vladimir 1 Evdokimov, Aleksandr Aleksandrovich 1 Fedorenko, I. V. 1 Golubeva, V. V. 1 Govorukhina, A. A. 1 Helton, John William 1 Huybrechs, Daan 1 Kaashoek, Marinus Adriaan 1 Karapetyants, Nikolaĭ Karapetovich 1 Karyakin, Mikhail I. 1 Khevelev, A. B. 1 Khmelnytskaya, Kira V. 1 Kovalenko, N. V. 1 Kozak, Anatoly V. 1 Kryakvin, Vadim Donatovich 1 Malisheva, I. S. 1 Malonek, Helmuth Robert 1 Malysheva, I. S. 1 Mazza, Mariarosa 1 Mendez-Lara, O. A. 1 Mihalkovich, S. S. 1 Mikhalkovich, S. S. 1 Nogin, Vladimir Aleksandrovich 1 Palomino-Jiménez, C. 1 Paradoksova, I. A. 1 Porter, R. Michael 1 Pulyaev, V. F. 1 Radchenko, T. N. 1 Remling, Christian 1 Rogozhin, V. S. 1 Rubin, Boris 1 Rubtsov, S. E. 1 Rybkin, Alexey V. 1 Samko, Stefan Grigor’evich 1 Schwartz, Moshe 1 Smirnova, A. V. 1 Stratis, Ioannis G. 1 Tablino Possio, Cristina 1 Torba, Sergii M. 1 Tsalyuk, Z. B. 1 Voronin, I. V. all top 5 Serials 11 Linear Algebra and its Applications 9 Integral Equations and Operator Theory 5 Operator Theory: Advances and Applications 4 Soviet Mathematics. Doklady 3 Communications in Mathematical Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematische Nachrichten 2 Soviet Mathematics 2 Journal of Operator Theory 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 Doklady Mathematics 2 Complex Variables and Elliptic Equations 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Acta Scientiarum Mathematicarum 1 Archiv der Mathematik 1 BIT 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 Journal of Integral Equations and Applications 1 Numerical Algorithms 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 The New York Journal of Mathematics 1 Methods and Applications of Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Journal of Probability 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ. Severo-Kavkazskiĭ Region. Estestvennye Nauki 1 ELA. The Electronic Journal of Linear Algebra 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Texts and Readings in Mathematics 1 Complex Analysis and Operator Theory 1 Operators and Matrices 1 Journal of Spectral Theory 1 Mathematical Sciences 1 Advances in Operator Theory all top 5 Fields 87 Operator theory (47-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 33 Numerical analysis (65-XX) 20 Integral equations (45-XX) 18 Functions of a complex variable (30-XX) 12 Partial differential equations (35-XX) 11 Approximations and expansions (41-XX) 9 Functional analysis (46-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 98 Publications have been cited 1,030 times in 575 Documents Cited by ▼ Year ▼ Spectral properties of banded Toeplitz matrices. Zbl 1089.47001 Böttcher, Albrecht; Grudsky, Sergei M. 192 2005 Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk. Zbl 1100.47023 Grudsky, S.; Quiroga-Barranco, R.; Vasilevski, N. 53 2006 Toeplitz matrices, asymptotic linear algebra, and functional analysis. Zbl 0969.47022 Böttcher, Albrecht; Grudsky, S. M. 42 2000 On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005 Böttcher, Albrecht; Grudsky, Sergei M. 36 1998 Toeplitz operators on the unit ball in \({\mathbb C}^n\) with radial symbols. Zbl 1027.32010 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 33 2003 Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015 Grudsky, S. M.; Vasilevski, N. L. 32 2002 Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 31 2015 Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009 Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 30 2010 Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058 Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L. 30 2013 Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023 Grudsky, S.; Vasilevski, N. 26 2001 Soliton theory and Hankel operators. Zbl 1332.35325 Grudsky, Sergei; Rybkin, Alexei 23 2015 Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025 Boettcher, A.; Grudsky, S. M.; Silbermann, B. 23 1997 Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309 Böttcher, A.; Grudsky, S. M. 22 2005 Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness. Zbl 1468.15007 Bogoya, J. M.; Grudsky, S. M.; Maximenko, E. A. 21 2017 Dynamics of properties of Toeplitz operators with radial symbols. Zbl 1076.47020 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 19 2004 Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1331.47046 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 17 2016 Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 17 2004 On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium. Zbl 1047.78003 Grudsky, Sergei M.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 17 2004 Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob. Zbl 1030.47001 Dybin, Vladimir; Grudsky, Sergei M. 17 2002 On classical solutions of the KdV equation. Zbl 1448.35444 Grudsky, Sergei; Rybkin, Alexei 15 2020 Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices. Zbl 1365.15040 Barrera, M.; Grudsky, S. M. 14 2017 Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. Zbl 1320.15028 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 13 2015 Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 13 2004 Asymptotics of eigenvalues of symmetric Toeplitz band matrices. Zbl 1318.47043 Batalshchikov, A. A.; Grudsky, S. M.; Stukopin, V. A. 11 2015 Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028 Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A. 11 2017 Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M. 10 2012 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 9 2011 Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 9 2001 Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026 Böttcher, A.; Grudsky, S. M. 9 1996 On positive type initial profiles for the KdV equation. Zbl 1294.35122 Grudsky, Sergei; Rybkin, Alexei 9 2014 Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011 Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M. 8 2012 Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025 Böttcher, Albrecht; Grudsky, S. M. 8 2000 Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023 Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V. 8 2021 The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 7 2000 The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199 Grudsky, Sergei; Remling, Christian; Rybkin, Alexei 6 2015 On the structure of the eigenvectors of large Hermitian Toeplitz band matrices. Zbl 1267.47044 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 6 2010 Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff. Zbl 1260.15009 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 6 2012 Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products. Zbl 1047.47021 Grudsky, Sergei M. 6 2001 The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices. Zbl 1181.47023 Böttcher, A.; Grudsky, S.; Maksimenko, E. A.; Unterberger, J. 6 2009 The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 5 2012 Pushing the envelope of the test functions in the Szegö and Avram-Parter theorems. Zbl 1153.15012 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 5 2008 Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities. Zbl 1207.47026 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 5 2011 On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015 Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E. 5 2006 Estimates for singular numbers of Hausdorff-Zhu operators and applications. Zbl 1545.47108 Grudsky, Sergei; Karapetyants, Alexey; Mirotin, Adolf 5 2023 Dynamics of properties of Toeplitz operators on weighted Bergman spaces. Zbl 1120.47305 Vasilevskii, N. L.; Grudskii, S. M.; Karapetyants, A. N. 5 2006 Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols. Zbl 1420.15019 Batalshchikov, A. A.; Grudsky, S. M.; Malisheva, I. S.; Mihalkovich, S. S.; Ramírez de Arellano, E.; Stukopin, V. A. 5 2019 The norm of the product of a large matrix and a random vector. Zbl 1065.15032 Böttcher, Albrecht; Grudsky, Sergei 5 2003 Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030 Böttcher, A.; Grudsky, S. M. 5 2003 Eighteen old and new asymptotic results on Toeplitz band matrices. Zbl 0965.15008 Böttcher, A.; Grudsky, S. 5 2000 Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 5 2003 Asymptotics of eigenvectors of large symmetric banded Toeplitz matrices. Zbl 1330.15032 Batalshchikov, A.; Grudsky, S.; Ramírez de Arellano, E.; Stukopin, V. 4 2015 First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024 Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh 4 2012 The Szegő and Avram-Parter theorems for general test functions. Zbl 1145.15007 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 4 2008 Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029 Böttcher, Albrecht; Grudsky, Sergei 4 2008 On the trace-class property of Hankel operators arising in the theory of the Korteweg-de Vries equation. Zbl 07035816 Grudsky, S. M.; Rybkin, A. V. 4 2018 Variable-coefficient Toeplitz matrices with symbols beyond the Wiener algebra. Zbl 1203.15019 Böttcher, Albrecht; Grudsky, Sergei 4 2010 Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. Zbl 1502.15026 Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 4 2022 On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. Zbl 1181.15010 Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 4 2009 Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027 Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 4 1999 Can spectral value sets of Toeplitz band matrices jump? Zbl 1005.47032 Böttcher, A.; Grudsky, S. M. 4 2002 On the distance of a large Toeplitz band matrix to the nearest singular matrix. Zbl 1020.15028 Böttcher, A.; Grudsky, S.; Kozak, A. 4 2002 Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. Zbl 07798264 Bogoya, M.; Böttcher, A.; Grudsky, S. M. 3 2023 Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices. Zbl 1446.15014 Bogoya, J. M.; Grudsky, S. M.; Malysheva, I. S. 3 2018 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 On the composition of Muckenhoupt weights and inner functions. Zbl 0935.47026 Böttcher, A.; Grudsky, S. 3 1998 Toeplitz band matrices with exponentially growing condition numbers. Zbl 0940.15005 Böttcher, A.; Grudsky, S. 3 1999 On the essential spectrum of Toeplitz operators with semi-almost periodic symbols. Zbl 1038.47022 Böttcher, Albrecht; Grudsky, Sergei; Spitkovsky, Ilya 3 2003 Toeplitz matrices with slowly growing pseudospectra. Zbl 1037.47017 Böttcher, Albrecht; Grudsky, Sergei 3 2003 On Toeplitz and Hankel operators with oscillatory symbols containing Blaschke products and applications to the KdV equation. Zbl 1275.47059 Grudsky, Sergei; Rybkin, Alexei 3 2013 Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023 Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe 3 2009 On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. Zbl 1541.15039 Bogoya, Manuel; Grudsky, Sergei; Mazza, Mariarosa; Serra-Capizzano, Stefano 2 2023 Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity. Zbl 07790621 Bogoya, Manuel; Grudsky, Sergei M. 2 2023 The inverse scattering transform for weak Wigner-von Neumann type potentials. Zbl 1492.35262 Grudsky, Sergei; Rybkin, Alexei 2 2022 Fejér means and norms of large Toeplitz matrices. Zbl 1049.47030 Böttcher, A.; Grudsky, S. 2 2003 Condition numbers of large Toeplitz-like matrices. Zbl 1001.47015 Böttcher, A.; Grudsky, S. 2 2001 On the Fredholm indices of associated systems of Wiener-Hopf equations. Zbl 0991.47012 Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M. 2 2000 Matrix functions with arbitrarily prescribed left and right partial indices. Zbl 0960.47012 Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M. 2 2000 Singular integral operators with infinite index and Blaschke products. Zbl 0612.30039 Grudskij, S. M. 2 1986 Applications of Blaschke products to the spectral theory of Toeplitz operators. Zbl 1277.47042 Grudsky, Sergei; Shargorodsky, Eugene 2 2013 A note on Muskhelishvili-Vekua reduction. Zbl 1320.30072 Grudsky, Sergei; Tarkhanov, Nikolai 1 2013 Spectra of Toeplitz operators and compositions of Muckenhoupt weights with Blaschke products. Zbl 1154.47020 Grudsky, Sergei; Shargorodsky, Eugene 1 2008 Singular integral equations and the Riemann boundary value problem with infinite index in the space \(L_ p(\Gamma,\omega)\). Zbl 0575.45006 Grudskij, S. M. 1 1985 The Riemann boundary value problem with discontinuities of almost periodic type in its coefficient. Zbl 0399.30030 Grudskij, S. M.; Dybin, V. B. 1 1977 Fast non-Hermitian Toeplitz eigenvalue computations, joining matrixless algorithms and FDE approximation matrices. Zbl 1534.65057 Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano 1 2024 Realization of the inverse scattering transform method for the Korteweg-de Vries equation. Zbl 1527.34132 Grudsky, Sergei M.; Kravchenko, Vladislav V.; Torba, Sergii M. 1 2023 Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order. Zbl 1533.15019 Barrera, Mauricio; Grudsky, Sergei M. 1 2022 Eigenvalues of the Laplacian matrices of the cycles with one weighted edge. Zbl 1500.05035 Grudsky, Sergei M.; Maximenko, Egor A.; Soto-González, Alejandro 1 2022 Norms of large Toeplitz band matrices. Zbl 0945.15020 Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 1 2000 Recent trends in Toeplitz and pseudodifferential operators. The Nikolai Vasilevskii anniversary volume. Zbl 1226.47002 1 2010 Algebras of Toeplitz operators with oscillating symbols. Zbl 1083.47023 Böttcher, Albrecht; Grudsky, Sergei M.; Ramírez de Arellano, Enrique 1 2004 The Riemann boundary value problem in the space \(L_ p(\Gamma,\rho)\) with almost periodic discontinuities at its coefficients. Zbl 0577.45004 Grudskij, S. M.; Dybin, V. B. 1 1980 Asymptotically good pseudomodes for Toeplitz matrices and Wiener-Hopf operators. Zbl 1073.47036 Böttcher, Albrecht; Grudsky, Sergei 1 2004 Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols. Zbl 1543.15023 Bogoya, M.; Grudsky, S. M.; Serra-Capizzano, S. 1 2024 Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary. Zbl 1314.47043 Grudsky, Sergey; Tarkhanov, Nikolai 1 2013 Asymptotics of European double-barrier option with compound Poisson component. Zbl 1267.91066 Carrada-Herrera, R.; Grudsky, S. M.; Palomino-Jiménez, C.; Porter, R. M. 1 2013 Double barrier options under Lévy processes. Zbl 1121.47062 Grudsky, Sergei M. 1 2006 Asymptotic pseudomodes of Toeplitz matrices. Zbl 1172.47021 Böttcher, Albrecht; Grudsky, Sergei; Unterberger, Jérémie 1 2008 Fast non-Hermitian Toeplitz eigenvalue computations, joining matrixless algorithms and FDE approximation matrices. Zbl 1534.65057 Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano 1 2024 Eigenvalue superposition for Toeplitz matrix-sequences with matrix order dependent symbols. Zbl 1543.15023 Bogoya, M.; Grudsky, S. M.; Serra-Capizzano, S. 1 2024 Estimates for singular numbers of Hausdorff-Zhu operators and applications. Zbl 1545.47108 Grudsky, Sergei; Karapetyants, Alexey; Mirotin, Adolf 5 2023 Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. Zbl 07798264 Bogoya, M.; Böttcher, A.; Grudsky, S. M. 3 2023 On the extreme eigenvalues and asymptotic conditioning of a class of Toeplitz matrix-sequences arising from fractional problems. Zbl 1541.15039 Bogoya, Manuel; Grudsky, Sergei; Mazza, Mariarosa; Serra-Capizzano, Stefano 2 2023 Asymptotics for the eigenvalues of Toeplitz matrices with a symbol having a power singularity. Zbl 07790621 Bogoya, Manuel; Grudsky, Sergei M. 2 2023 Realization of the inverse scattering transform method for the Korteweg-de Vries equation. Zbl 1527.34132 Grudsky, Sergei M.; Kravchenko, Vladislav V.; Torba, Sergii M. 1 2023 Fine spectral estimates with applications to the optimally fast solution of large FDE linear systems. Zbl 1502.15026 Bogoya, Manuel; Grudsky, Sergei M.; Serra-Capizzano, Stefano; Tablino-Possio, Cristina 4 2022 The inverse scattering transform for weak Wigner-von Neumann type potentials. Zbl 1492.35262 Grudsky, Sergei; Rybkin, Alexei 2 2022 Asymptotics of eigenvalues for Toeplitz matrices with rational symbols that have a minimum of the 4th order. Zbl 1533.15019 Barrera, Mauricio; Grudsky, Sergei M. 1 2022 Eigenvalues of the Laplacian matrices of the cycles with one weighted edge. Zbl 1500.05035 Grudsky, Sergei M.; Maximenko, Egor A.; Soto-González, Alejandro 1 2022 Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023 Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V. 8 2021 On classical solutions of the KdV equation. Zbl 1448.35444 Grudsky, Sergei; Rybkin, Alexei 15 2020 Asymptotics of eigenvalues of large symmetric Toeplitz matrices with smooth simple-loop symbols. Zbl 1420.15019 Batalshchikov, A. A.; Grudsky, S. M.; Malisheva, I. S.; Mihalkovich, S. S.; Ramírez de Arellano, E.; Stukopin, V. A. 5 2019 On the trace-class property of Hankel operators arising in the theory of the Korteweg-de Vries equation. Zbl 07035816 Grudsky, S. M.; Rybkin, A. V. 4 2018 Extreme individual eigenvalues for a class of large Hessenberg Toeplitz matrices. Zbl 1446.15014 Bogoya, J. M.; Grudsky, S. M.; Malysheva, I. S. 3 2018 Eigenvalues of Hermitian Toeplitz matrices generated by simple-loop symbols with relaxed smoothness. Zbl 1468.15007 Bogoya, J. M.; Grudsky, S. M.; Maximenko, E. A. 21 2017 Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices. Zbl 1365.15040 Barrera, M.; Grudsky, S. M. 14 2017 Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028 Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A. 11 2017 Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1331.47046 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 17 2016 Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 31 2015 Soliton theory and Hankel operators. Zbl 1332.35325 Grudsky, Sergei; Rybkin, Alexei 23 2015 Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. Zbl 1320.15028 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 13 2015 Asymptotics of eigenvalues of symmetric Toeplitz band matrices. Zbl 1318.47043 Batalshchikov, A. A.; Grudsky, S. M.; Stukopin, V. A. 11 2015 The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199 Grudsky, Sergei; Remling, Christian; Rybkin, Alexei 6 2015 Asymptotics of eigenvectors of large symmetric banded Toeplitz matrices. Zbl 1330.15032 Batalshchikov, A.; Grudsky, S.; Ramírez de Arellano, E.; Stukopin, V. 4 2015 On positive type initial profiles for the KdV equation. Zbl 1294.35122 Grudsky, Sergei; Rybkin, Alexei 9 2014 Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058 Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L. 30 2013 On Toeplitz and Hankel operators with oscillatory symbols containing Blaschke products and applications to the KdV equation. Zbl 1275.47059 Grudsky, Sergei; Rybkin, Alexei 3 2013 Applications of Blaschke products to the spectral theory of Toeplitz operators. Zbl 1277.47042 Grudsky, Sergei; Shargorodsky, Eugene 2 2013 A note on Muskhelishvili-Vekua reduction. Zbl 1320.30072 Grudsky, Sergei; Tarkhanov, Nikolai 1 2013 Conformal reduction of boundary problems for harmonic functions in a plane domain with strong singularities on the boundary. Zbl 1314.47043 Grudsky, Sergey; Tarkhanov, Nikolai 1 2013 Asymptotics of European double-barrier option with compound Poisson component. Zbl 1267.91066 Carrada-Herrera, R.; Grudsky, S. M.; Palomino-Jiménez, C.; Porter, R. M. 1 2013 Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M. 10 2012 Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011 Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M. 8 2012 Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff. Zbl 1260.15009 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 6 2012 The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 5 2012 First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024 Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh 4 2012 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015 Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 9 2011 Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities. Zbl 1207.47026 Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 5 2011 Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009 Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 30 2010 On the structure of the eigenvectors of large Hermitian Toeplitz band matrices. Zbl 1267.47044 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 6 2010 Variable-coefficient Toeplitz matrices with symbols beyond the Wiener algebra. Zbl 1203.15019 Böttcher, Albrecht; Grudsky, Sergei 4 2010 Recent trends in Toeplitz and pseudodifferential operators. The Nikolai Vasilevskii anniversary volume. Zbl 1226.47002 1 2010 The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices. Zbl 1181.47023 Böttcher, A.; Grudsky, S.; Maksimenko, E. A.; Unterberger, J. 6 2009 On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. Zbl 1181.15010 Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 4 2009 Anatomy of the \(C^*\)-algebra generated by Toeplitz operators with piece-wise continuous symbols. Zbl 1186.47024 Grudsky, Sergei; Vasilevski, Nikolai 3 2009 Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023 Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe 3 2009 Pushing the envelope of the test functions in the Szegö and Avram-Parter theorems. Zbl 1153.15012 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 5 2008 The Szegő and Avram-Parter theorems for general test functions. Zbl 1145.15007 Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 4 2008 Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029 Böttcher, Albrecht; Grudsky, Sergei 4 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 Spectra of Toeplitz operators and compositions of Muckenhoupt weights with Blaschke products. Zbl 1154.47020 Grudsky, Sergei; Shargorodsky, Eugene 1 2008 Asymptotic pseudomodes of Toeplitz matrices. Zbl 1172.47021 Böttcher, Albrecht; Grudsky, Sergei; Unterberger, Jérémie 1 2008 Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk. Zbl 1100.47023 Grudsky, S.; Quiroga-Barranco, R.; Vasilevski, N. 53 2006 On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015 Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E. 5 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 Double barrier options under Lévy processes. Zbl 1121.47062 Grudsky, Sergei M. 1 2006 Spectral properties of banded Toeplitz matrices. Zbl 1089.47001 Böttcher, Albrecht; Grudsky, Sergei M. 192 2005 Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309 Böttcher, A.; Grudsky, S. M. 22 2005 Dynamics of properties of Toeplitz operators with radial symbols. Zbl 1076.47020 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 19 2004 Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 17 2004 On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium. Zbl 1047.78003 Grudsky, Sergei M.; Khmelnytskaya, Kira V.; Kravchenko, Vladislav V. 17 2004 Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 13 2004 Algebras of Toeplitz operators with oscillating symbols. Zbl 1083.47023 Böttcher, Albrecht; Grudsky, Sergei M.; Ramírez de Arellano, Enrique 1 2004 Asymptotically good pseudomodes for Toeplitz matrices and Wiener-Hopf operators. Zbl 1073.47036 Böttcher, Albrecht; Grudsky, Sergei 1 2004 Toeplitz operators on the unit ball in \({\mathbb C}^n\) with radial symbols. Zbl 1027.32010 Grudsky, S.; Karapetyants, A.; Vasilevski, N. 33 2003 The norm of the product of a large matrix and a random vector. Zbl 1065.15032 Böttcher, Albrecht; Grudsky, Sergei 5 2003 Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030 Böttcher, A.; Grudsky, S. M. 5 2003 Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 5 2003 On the essential spectrum of Toeplitz operators with semi-almost periodic symbols. Zbl 1038.47022 Böttcher, Albrecht; Grudsky, Sergei; Spitkovsky, Ilya 3 2003 Toeplitz matrices with slowly growing pseudospectra. Zbl 1037.47017 Böttcher, Albrecht; Grudsky, Sergei 3 2003 Fejér means and norms of large Toeplitz matrices. Zbl 1049.47030 Böttcher, A.; Grudsky, S. 2 2003 Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015 Grudsky, S. M.; Vasilevski, N. L. 32 2002 Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob. Zbl 1030.47001 Dybin, Vladimir; Grudsky, Sergei M. 17 2002 Can spectral value sets of Toeplitz band matrices jump? Zbl 1005.47032 Böttcher, A.; Grudsky, S. M. 4 2002 On the distance of a large Toeplitz band matrix to the nearest singular matrix. Zbl 1020.15028 Böttcher, A.; Grudsky, S.; Kozak, A. 4 2002 Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023 Grudsky, S.; Vasilevski, N. 26 2001 Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 9 2001 Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products. Zbl 1047.47021 Grudsky, Sergei M. 6 2001 Condition numbers of large Toeplitz-like matrices. Zbl 1001.47015 Böttcher, A.; Grudsky, S. 2 2001 Toeplitz matrices, asymptotic linear algebra, and functional analysis. Zbl 0969.47022 Böttcher, Albrecht; Grudsky, S. M. 42 2000 Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025 Böttcher, Albrecht; Grudsky, S. M. 8 2000 The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015 Böttcher, A.; Grudsky, S.; Spitkovsky, I. 7 2000 Eighteen old and new asymptotic results on Toeplitz band matrices. Zbl 0965.15008 Böttcher, A.; Grudsky, S. 5 2000 On the Fredholm indices of associated systems of Wiener-Hopf equations. Zbl 0991.47012 Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M. 2 2000 Matrix functions with arbitrarily prescribed left and right partial indices. Zbl 0960.47012 Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M. 2 2000 Norms of large Toeplitz band matrices. Zbl 0945.15020 Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 1 2000 Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027 Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 4 1999 Toeplitz band matrices with exponentially growing condition numbers. Zbl 0940.15005 Böttcher, A.; Grudsky, S. 3 1999 On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005 Böttcher, Albrecht; Grudsky, Sergei M. 36 1998 On the composition of Muckenhoupt weights and inner functions. Zbl 0935.47026 Böttcher, A.; Grudsky, S. 3 1998 Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025 Boettcher, A.; Grudsky, S. M.; Silbermann, B. 23 1997 Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026 Böttcher, A.; Grudsky, S. M. 9 1996 Singular integral operators with infinite index and Blaschke products. Zbl 0612.30039 Grudskij, S. M. 2 1986 Singular integral equations and the Riemann boundary value problem with infinite index in the space \(L_ p(\Gamma,\omega)\). Zbl 0575.45006 Grudskij, S. M. 1 1985 The Riemann boundary value problem in the space \(L_ p(\Gamma,\rho)\) with almost periodic discontinuities at its coefficients. Zbl 0577.45004 Grudskij, S. M.; Dybin, V. B. 1 1980 The Riemann boundary value problem with discontinuities of almost periodic type in its coefficient. Zbl 0399.30030 Grudskij, S. M.; Dybin, V. B. 1 1977 all cited Publications top 5 cited Publications all top 5 Cited by 640 Authors 51 Serra-Capizzano, Stefano 50 Grudsky, Sergei Mikhailovich 37 Böttcher, Albrecht 28 Vasilevski, Nikolai Leonidovich 25 Maksimenko, Egor A. 19 Garoni, Carlo 16 Quiroga-Barranco, Raul 15 Sánchez-Nungaray, Armando 14 Rybkin, Alexei 13 Bauer, Wolfram 11 Bogoya, Manuel 11 Ekström, Sven-Erik 11 Karapetyants, Alekseĭ Nikolaevich 10 Bini, Dario Andrea 10 Rozenblum, Grigori V. 8 Bogoya, Johan M. 8 Lindner, Marko 8 Mazza, Mariarosa 8 Shargorodsky, Eugene 8 Taskinen, Jari 7 Donatelli, Marco 7 Naidu, D. Venku 7 Ramírez Ortega, Josué 6 Meini, Beatrice 6 Noschese, Silvia 6 Sesana, Debora 6 Spitkovsky, Ilya Matvey 6 Stukopin, Vladimir Alekseevich 5 Bais, Shubham R. 5 Barbarino, Giovanni 5 Bourget, Alain 5 Elouafi, Mohamed 5 Fikioris, George 5 Herrera Yañez, Crispin 5 Karlovych, Oleksiy 5 Loaiza, Maribel 5 Meng, Jie 5 Reichel, Lothar 5 Seidel, Markus 5 Vassalos, Paris 5 Virtanen, Jani A. 4 Demir, Süleyman 4 Esmeral, Kevin 4 Furci, Isabella 4 Hagger, Raffael 4 Le, Trieu 4 Lu, Yufeng 4 Massei, Stefano 4 Mironov, Victor L. 4 Mohan, Pinlodi 4 Morales-Ramos, Miguel Antonio 4 Robol, Leonardo 4 Tablino Possio, Cristina 3 Batalshchikov, A. A. 3 Behera, Jitendra Kumar 3 Bianchi, Davide 3 Cao, Guangfu 3 Colbrook, Matthew J. 3 Das, Namita 3 Dhara, Kousik 3 García-Bayona, Ismael 3 Iannazzo, Bruno 3 Iserles, Arieh 3 Kansu, Mustafa Emre 3 Malham, Simon J. A. 3 McMillen, Tyler 3 Mironov, Sergey V. 3 Monterde, Juan 3 Mora, María del Rosario Ramírez 3 Namboodiri, M. N. N. 3 Ng, Michael Kwok-Po 3 Noutsos, Dimitrios 3 Ólafsson, Gestur 3 Rabe, Hermann 3 Rambour, Philippe 3 Ramírez de Arellano, Enrique 3 Ramos-Vazquez, Gerardo 3 Ran, André C. M. 3 Roch, Steffen 3 Rodriguez Rodriguez, Miguel Angel 3 Samko, Stefan Grigor’evich 3 Silbermann, Bernd 3 Solary, Maryam Shams 3 Speleers, Hendrik 3 Štampach, František 3 Su, Wen 3 Tanişli, Murat 3 Teschl, Gerald 3 Weng, Zi-Hua 2 Ahmadi Kakavandi, Bijan 2 Alexandersson, Per 2 Alshormani, Farouq S. 2 Aretaki, Aikaterini 2 Barrera-Castelán, Roberto Moisés 2 Barrera, Mauricio 2 Basak, Anirban 2 Basor, Estelle L. 2 Bebiano, Natália Isabel Quadros 2 Bernhardsson, Bo M. 2 Bertaccini, Daniele ...and 540 more Authors all top 5 Cited in 186 Serials 68 Linear Algebra and its Applications 34 Integral Equations and Operator Theory 25 Journal of Mathematical Analysis and Applications 25 Complex Analysis and Operator Theory 20 Journal of Functional Analysis 16 Numerical Linear Algebra with Applications 12 Boletín de la Sociedad Matemática Mexicana. 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Académie des Sciences, Paris 3 Computers & Mathematics with Applications 3 Linear and Multilinear Algebra 3 Archiv der Mathematik 3 Calcolo 3 Canadian Mathematical Bulletin 3 Journal of Statistical Planning and Inference 3 Numerische Mathematik 3 Studies in Applied Mathematics 3 Constructive Approximation 3 SIAM Journal on Matrix Analysis and Applications 3 Indagationes Mathematicae. 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Mathematical Sciences 2 Turkish Journal of Mathematics 2 Fractional Calculus & Applied Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 GAMM-Mitteilungen 2 Communications in Mathematical Analysis 2 Journal of Physics A: Mathematical and Theoretical 2 Chinese Journal of Physics (Taipei) 2 Electronic Journal of Statistics 2 Advances in Mathematical Physics 2 Random Matrices: Theory and Applications 2 East Asian Journal on Applied Mathematics 2 Journal of Mathematical Modeling 1 Modern Physics Letters A 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Computational Physics 1 Journal of Statistical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Scientiarum Mathematicarum 1 The Annals of Probability 1 The Annals of Statistics 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series ...and 86 more Serials all top 5 Cited in 48 Fields 286 Operator theory (47-XX) 234 Linear and multilinear algebra; matrix theory (15-XX) 142 Numerical analysis (65-XX) 74 Functions of a complex variable (30-XX) 70 Partial differential equations (35-XX) 57 Functional analysis (46-XX) 49 Several complex variables and analytic spaces (32-XX) 30 Probability theory and stochastic processes (60-XX) 27 Dynamical systems and ergodic theory (37-XX) 25 Quantum theory (81-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Special functions (33-XX) 18 Integral equations (45-XX) 16 Approximations and expansions (41-XX) 16 Statistics (62-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Ordinary differential equations (34-XX) 13 Topological groups, Lie groups (22-XX) 13 Real functions (26-XX) 11 Combinatorics (05-XX) 11 Number theory (11-XX) 11 Optics, electromagnetic theory (78-XX) 10 Differential geometry (53-XX) 9 Computer science (68-XX) 9 Systems theory; control (93-XX) 8 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 5 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Relativity and gravitational theory (83-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Algebraic geometry (14-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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