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Grudsky, Sergei Mikhailovich

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Author ID: grudsky.sergei-m Recent zbMATH articles by "Grudsky, Sergei Mikhailovich"
Published as: Grudsky, S. M.; Grudsky, Sergei; Grudsky, S.; Grudsky, Sergei M.; Grudskij, S. M.; Grudskii, S. M.; Grudskij, Sergej M.; Grudsky, Sergey
External Links: MGP · Math-Net.Ru · dblp · GND
Documents Indexed: 108 Publications since 1977, including 4 Books
5 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 52 Co-Authors with 100 Joint Publications
1,179 Co-Co-Authors
all top 5

Co-Authors

13 single-authored
51 Böttcher, Albrecht
15 Maksimenko, Egor A.
14 Vasilevski, Nikolai Leonidovich
10 Bogoya, Johan M.
6 Karapetyants, Alexey N.
6 Rybkin, Alexei
6 Spitkovsky, Ilya Matvey
5 Ramírez de Arellano, Enrique
4 Kozak, Anatoli V.
4 Latushkin, Yuri
4 Shapiro, Michael V.
4 Silbermann, Bernd
3 Batalshchikov, A. A.
3 Iserles, Arieh
3 Stukopin, Vladimir Alekseevich
2 Barrera, Mauricio
2 Duduchava, Roland
2 Dybin, V. B.
2 Erusalimskii, Yakov M.
2 Gohberg, Israel
2 Kravchenko, Vladislav V.
2 Quiroga-Barranco, Raul
2 Rabinovich, Vladimir Samuilovich
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 Gasca, Juanita
1 Golubeva, V. V.
1 Govorukhina, A. A.
1 Helton, John William
1 Huybrechs, Daan
1 Kaashoek, Marinus Adriaan
1 Karapetyants, Nikolai K.
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 Malysheva, I. S.
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 Grigorievich
1 Schwartz, Moshe
1 Smirnova, A. V.
1 Soto-González, Alejandro
1 Tsalyuk, Z. B.
all top 5

Serials

9 Integral Equations and Operator Theory
8 Linear Algebra and its Applications
5 Operator Theory: Advances and Applications
4 Soviet Mathematics. Doklady
3 Communications in Mathematical Analysis
2 Mathematische Nachrichten
2 Soviet Mathematics
2 Journal of Operator Theory
2 Doklady Mathematics
2 Complex Variables and Elliptic Equations
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Acta Scientiarum Mathematicarum
1 Archiv der Mathematik
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 SIAM Journal on Matrix Analysis and Applications
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 Numerical Linear Algebra with Applications
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

Publications by Year

Citations contained in zbMATH Open

80 Publications have been cited 689 times in 415 Documents Cited by Year
Spectral properties of banded Toeplitz matrices. Zbl 1089.47001
Böttcher, Albrecht; Grudsky, Sergei M.
135
2005
Commutative \(C^{\ast}\)-algebras of Toeplitz operators and quantization on the unit disk. Zbl 1100.47023
Grudsky, S.; Quiroga-Barranco, R.; Vasilevski, N.
40
2006
On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005
Böttcher, Albrecht; Grudsky, Sergei M.
27
1998
Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015
Grudsky, S. M.; Vasilevski, N. L.
25
2002
Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058
Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L.
23
2013
Toeplitz operators on the unit ball in \({\mathbb C}^n\) with radial symbols. Zbl 1027.32010
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
22
2003
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309
Böttcher, A.; Grudsky, S. M.
22
2005
Toeplitz matrices, asymptotic linear algebra, and functional analysis. Zbl 0969.47022
Böttcher, Albrecht; Grudsky, S. M.
21
2000
Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
21
2010
Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023
Grudsky, S.; Vasilevski, N.
19
2001
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.
19
1997
Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A.
17
2015
Dynamics of properties of Toeplitz operators with radial symbols. Zbl 1076.47020
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
14
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.
13
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.
13
2002
Soliton theory and Hankel operators. Zbl 1332.35325
Grudsky, Sergei; Rybkin, Alexei
11
2015
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.
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.
10
2016
Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
10
2004
Asymptotics of eigenvalues of symmetric Toeplitz band matrices. Zbl 1318.47043
Batalshchikov, A. A.; Grudsky, S. M.; Stukopin, V. A.
9
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.
8
2015
Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices. Zbl 1365.15040
Barrera, M.; Grudsky, S. M.
8
2017
Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
7
2001
Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
7
2004
Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.
7
2012
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011
Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M.
7
2012
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
7
2011
Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026
Böttcher, A.; Grudsky, S. M.
6
1996
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
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 positive type initial profiles for the KdV equation. Zbl 1294.35122
Grudsky, Sergei; Rybkin, Alexei
6
2014
Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025
Böttcher, Albrecht; Grudsky, S. M.
5
2000
The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
5
2000
Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products. Zbl 1047.47021
Grudsky, Sergei M.
5
2001
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.
5
2012
On classical solutions of the KdV equation. Zbl 1448.35444
Grudsky, Sergei; Rybkin, Alexei
5
2020
Eighteen old and new asymptotic results on Toeplitz band matrices. Zbl 0965.15008
Böttcher, A.; Grudsky, S.
4
2000
The norm of the product of a large matrix and a random vector. Zbl 1065.15032
Böttcher, Albrecht; Grudsky, Sergei
4
2003
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
4
2003
Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030
Böttcher, A.; Grudsky, S. M.
4
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
The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
4
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.
4
2008
The Szegő and Avram-Parter theorems for general test functions. Zbl 1145.15007
Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A.
4
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.
4
2011
Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028
Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A.
4
2017
Can spectral value sets of Toeplitz band matrices jump? Zbl 1005.47032
Böttcher, A.; Grudsky, S. M.
4
2002
On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015
Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E.
4
2006
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
Toeplitz band matrices with exponentially growing condition numbers. Zbl 0940.15005
Böttcher, A.; Grudsky, S.
3
1999
On the distance of a large Toeplitz band matrix to the nearest singular matrix. Zbl 1020.15028
Böttcher, A.; Grudsky, S.; Kozak, A.
3
2002
Variable-coefficient Toeplitz matrices with symbols beyond the Wiener algebra. Zbl 1203.15019
Böttcher, Albrecht; Grudsky, Sergei
3
2010
First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024
Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh
3
2012
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.
3
1999
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199
Grudsky, Sergei; Remling, Christian; Rybkin, Alexei
3
2015
Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029
Böttcher, Albrecht; Grudsky, Sergei
3
2008
Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023
Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V.
2
2021
On the Fredholm indices of associated systems of Wiener-Hopf equations. Zbl 0991.47012
Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M.
2
2000
On the composition of Muckenhoupt weights and inner functions. Zbl 0935.47026
Böttcher, A.; Grudsky, S.
2
1998
Fejér means and norms of large Toeplitz matrices. Zbl 1049.47030
Böttcher, A.; Grudsky, S.
2
2003
Singular integral operators with infinite index and Blaschke products. Zbl 0612.30039
Grudskij, S. M.
2
1986
On the essential spectrum of Toeplitz operators with semi-almost periodic symbols. Zbl 1038.47022
Böttcher, Albrecht; Grudsky, Sergei; Spitkovsky, Ilya
2
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
2
2013
Condition numbers of large Toeplitz-like matrices. Zbl 1001.47015
Böttcher, A.; Grudsky, S.
2
2001
Applications of Blaschke products to the spectral theory of Toeplitz operators. Zbl 1277.47042
Grudsky, Sergei; Shargorodsky, Eugene
2
2013
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.
1
2018
On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. Zbl 1181.15010
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
1
2009
Norms of large Toeplitz band matrices. Zbl 0945.15020
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B.
1
2000
Matrix functions with arbitrarily prescribed left and right partial indices. Zbl 0960.47012
Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M.
1
2000
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
Algebras of Toeplitz operators with oscillating symbols. Zbl 1083.47023
Böttcher, Albrecht; Grudsky, Sergei M.; Ramírex 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 matrices with slowly growing pseudospectra. Zbl 1037.47017
Böttcher, Albrecht; Grudsky, Sergei
1
2003
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
Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023
Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe
1
2009
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
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 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.
1
2019
Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023
Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V.
2
2021
On classical solutions of the KdV equation. Zbl 1448.35444
Grudsky, Sergei; Rybkin, Alexei
5
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.
1
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.
1
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.
11
2017
Asymptotics of eigenvalues for pentadiagonal symmetric Toeplitz matrices. Zbl 1365.15040
Barrera, M.; Grudsky, S. M.
8
2017
Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028
Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A.
4
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.
10
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.
17
2015
Soliton theory and Hankel operators. Zbl 1332.35325
Grudsky, Sergei; Rybkin, Alexei
11
2015
Asymptotics of eigenvalues of symmetric Toeplitz band matrices. Zbl 1318.47043
Batalshchikov, A. A.; Grudsky, S. M.; Stukopin, V. A.
9
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.
8
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
The inverse scattering transform for the KdV equation with step-like singular Miura initial profiles. Zbl 1328.35199
Grudsky, Sergei; Remling, Christian; Rybkin, Alexei
3
2015
On positive type initial profiles for the KdV equation. Zbl 1294.35122
Grudsky, Sergei; Rybkin, Alexei
6
2014
Radial Toeplitz operators on the unit ball and slowly oscillating sequences. Zbl 1275.47058
Grudsky, Sergei M.; Maximenko, Egor A.; Vasilevski, Nikolai L.
23
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
2
2013
Applications of Blaschke products to the spectral theory of Toeplitz operators. Zbl 1277.47042
Grudsky, Sergei; Shargorodsky, Eugene
2
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
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 individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.
7
2012
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011
Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M.
7
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.
5
2012
The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
4
2012
First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024
Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh
3
2012
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
7
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.
4
2011
Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
21
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
3
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
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 asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. Zbl 1181.15010
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
1
2009
Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023
Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe
1
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.
4
2008
The Szegő and Avram-Parter theorems for general test functions. Zbl 1145.15007
Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A.
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
Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029
Böttcher, Albrecht; Grudsky, Sergei
3
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.
40
2006
On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015
Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E.
4
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.
135
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.
14
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.
13
2004
Dynamic of properties of Toeplitz operators on the upper half-plane: parabolic case. Zbl 1092.47031
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
10
2004
Dynamics of properties of Toeplitz operators on the upper half-plane: hyperbolic case. Zbl 1073.47037
Grudsky, S.; Karapetyants, A.; Vasilevski, N.
7
2004
Algebras of Toeplitz operators with oscillating symbols. Zbl 1083.47023
Böttcher, Albrecht; Grudsky, Sergei M.; Ramírex 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.
22
2003
The norm of the product of a large matrix and a random vector. Zbl 1065.15032
Böttcher, Albrecht; Grudsky, Sergei
4
2003
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
4
2003
Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030
Böttcher, A.; Grudsky, S. M.
4
2003
Fejér means and norms of large Toeplitz matrices. Zbl 1049.47030
Böttcher, A.; Grudsky, S.
2
2003
On the essential spectrum of Toeplitz operators with semi-almost periodic symbols. Zbl 1038.47022
Böttcher, Albrecht; Grudsky, Sergei; Spitkovsky, Ilya
2
2003
Toeplitz matrices with slowly growing pseudospectra. Zbl 1037.47017
Böttcher, Albrecht; Grudsky, Sergei
1
2003
Toeplitz operators on the Fock space: Radial component effects. Zbl 1039.47015
Grudsky, S. M.; Vasilevski, N. L.
25
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.
13
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.
3
2002
Bergman-Toeplitz operators: Radial component influence. Zbl 0993.47023
Grudsky, S.; Vasilevski, N.
19
2001
Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
7
2001
Toeplitz operators and the modelling of oscillating discontinuities with the help of Blaschke products. Zbl 1047.47021
Grudsky, Sergei M.
5
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.
21
2000
Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025
Böttcher, Albrecht; Grudsky, S. M.
5
2000
The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
5
2000
Eighteen old and new asymptotic results on Toeplitz band matrices. Zbl 0965.15008
Böttcher, A.; Grudsky, S.
4
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
Norms of large Toeplitz band matrices. Zbl 0945.15020
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B.
1
2000
Matrix functions with arbitrarily prescribed left and right partial indices. Zbl 0960.47012
Böttcher, A.; Grudsky, S. M.; Spitkovsky, I. M.
1
2000
Toeplitz band matrices with exponentially growing condition numbers. Zbl 0940.15005
Böttcher, A.; Grudsky, S.
3
1999
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.
3
1999
On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005
Böttcher, Albrecht; Grudsky, Sergei M.
27
1998
On the composition of Muckenhoupt weights and inner functions. Zbl 0935.47026
Böttcher, A.; Grudsky, S.
2
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.
19
1997
Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026
Böttcher, A.; Grudsky, S. M.
6
1996
Singular integral operators with infinite index and Blaschke products. Zbl 0612.30039
Grudskij, S. M.
2
1986
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 top 5

Cited by 502 Authors

36 Serra-Capizzano, Stefano
31 Grudsky, Sergei Mikhailovich
29 Böttcher, Albrecht
26 Vasilevski, Nikolai Leonidovich
21 Maksimenko, Egor A.
14 Garoni, Carlo
12 Bauer, Wolfram
11 Quiroga-Barranco, Raul
10 Sánchez-Nungaray, Armando
8 Bini, Dario Andrea
8 Bogoya, Johan M.
8 Rozenblum, Grigori V.
7 Donatelli, Marco
7 Ramírez Ortega, Josué
6 Ekstrom, Sven-Erik
6 Rybkin, Alexei
6 Sesana, Debora
6 Shargorodsky, Eugene
6 Spitkovsky, Ilya Matvey
5 Elouafi, Mohamed
5 Fikioris, George
5 Herrera Yañez, Crispin
5 Karapetyants, Alexey N.
5 Loaiza, Maribel
5 Mazza, Mariarosa
5 Meini, Beatrice
5 Stukopin, Vladimir Alekseevich
5 Taskinen, Jari
4 Barbarino, Giovanni
4 Esmeral, Kevin
4 Hagger, Raffael
4 Lindner, Marko
4 Lu, Yufeng
4 Massei, Stefano
4 Seidel, Markus
3 Batalshchikov, A. A.
3 Bourget, Alain
3 Cao, Guangfu
3 García-Bayona, Ismael
3 Karlovych, Oleksiy
3 Le, Trieu
3 McMillen, Tyler
3 Monterde, Juan
3 Morales-Ramos, Miguel Antonio
3 Noutsos, Dimitrios
3 Ólafsson, Gestur
3 Rambour, Philippe
3 Ramírez de Arellano, Enrique
3 Robol, Leonardo
3 Samko, Stefan Grigorievich
3 Su, Wen
3 Tablino Possio, Cristina
3 Vassalos, Paris
3 Virtanen, Jani A.
3 Weng, Zi-Hua
2 Alexandersson, Per
2 Aretaki, Aikaterini
2 Arnal, Ana
2 Basak, Anirban
2 Behera, Jitendra Kumar
2 Bernhardsson, Bo M.
2 Bertaccini, Daniele
2 Bianchi, Davide
2 Birbonshi, Riddhick
2 Blasco, Oscar
2 Bonet Solves, José
2 Burman, Prabir
2 Cardona, Duván
2 Choe, Boo Rim
2 Das, Namita
2 Dawson, Matthew
2 Demir, Süleyman
2 Dhara, Kousik
2 Furci, Isabella
2 Grassmann, Winfried K.
2 Hu, Zhangjian
2 Hutník, Ondrej
2 Iserles, Arieh
2 Issa, Hassan Ahmad
2 Its, Alexander Rudolfovich
2 Kansu, Mustafa Emre
2 Kulkarni, Sudhir Hanmantrao
2 Lee, Woo Young
2 Lozano, Carmen
2 Lusky, Wolfgang
2 Lv, Xiaofen
2 Malham, Simon J. A.
2 Malyshev, Alexander N.
2 Mironov, Sergey V.
2 Mironov, Victor L.
2 Mora, María del Rosario Ramírez
2 Namboodiri, M. N. N.
2 Ng, Michael Kwok-Po
2 Noschese, Silvia
2 Patra, Arnab
2 Putinar, Mihai
2 Rabe, Hermann
2 Raimondo, Roberto C.
2 Ramos-Vazquez, Gerardo
2 Ran, André C. M.
...and 402 more Authors
all top 5

Cited in 151 Serials

56 Linear Algebra and its Applications
31 Integral Equations and Operator Theory
19 Journal of Mathematical Analysis and Applications
18 Complex Analysis and Operator Theory
17 Journal of Functional Analysis
10 Journal of Computational and Applied Mathematics
10 Boletín de la Sociedad Matemática Mexicana. Third Series
6 Numerical Algorithms
6 Numerical Linear Algebra with Applications
5 BIT
5 Proceedings of the American Mathematical Society
4 Automatica
4 Journal of Approximation Theory
4 Journal of Mathematical Sciences (New York)
4 ETNA. Electronic Transactions on Numerical Analysis
4 Sbornik: Mathematics
4 Complex Variables and Elliptic Equations
4 Special Matrices
3 Nonlinearity
3 Advances in Mathematics
3 Archiv der Mathematik
3 Journal of Statistical Planning and Inference
3 Numerische Mathematik
3 Physica D
3 Constructive Approximation
3 Advances in Applied Clifford Algebras
3 The Journal of Fourier Analysis and Applications
3 Abstract and Applied Analysis
3 Acta Mathematica Sinica. English Series
3 International Journal of Geometric Methods in Modern Physics
3 Journal of Statistical Mechanics: Theory and Experiment
3 Journal of Function Spaces
3 Advances in Operator Theory
2 Analysis Mathematica
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Notes
2 Mathematics of Computation
2 Applied Mathematics and Computation
2 Calcolo
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Nachrichten
2 Transactions of the American Mathematical Society
2 Computer Aided Geometric Design
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Indagationes Mathematicae. New Series
2 SIAM Journal on Scientific Computing
2 Turkish Journal of Mathematics
2 Fractional Calculus & Applied Analysis
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Mathematical Analysis
2 Advances in Mathematical Physics
2 Journal of Spectral Theory
2 East Asian Journal on Applied Mathematics
1 Modern Physics Letters A
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 Mathematical Physics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 The Annals of Probability
1 The Annals of Statistics
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Journal of Number Theory
1 Mathematische Zeitschrift
1 Mathematika
1 Nagoya Mathematical Journal
1 Numerical Functional Analysis and Optimization
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Ergodic Theory and Dynamical Systems
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Probability Theory and Related Fields
1 Revista Matemática Iberoamericana
1 Journal of Theoretical Probability
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 Queueing Systems
1 Journal of Integral Equations and Applications
1 Neural Computation
1 The Journal of Geometric Analysis
1 Computational Mathematics and Mathematical Physics
1 Communications in Statistics. Theory and Methods
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Mathematical Analysis
1 SIAM Review
...and 51 more Serials
all top 5

Cited in 46 Fields

201 Operator theory (47-XX)
168 Linear and multilinear algebra; matrix theory (15-XX)
100 Numerical analysis (65-XX)
49 Functional analysis (46-XX)
42 Functions of a complex variable (30-XX)
39 Partial differential equations (35-XX)
37 Several complex variables and analytic spaces (32-XX)
21 Probability theory and stochastic processes (60-XX)
15 Approximations and expansions (41-XX)
14 Integral equations (45-XX)
14 Quantum theory (81-XX)
13 Special functions (33-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
12 Statistics (62-XX)
11 Topological groups, Lie groups (22-XX)
11 Statistical mechanics, structure of matter (82-XX)
10 Number theory (11-XX)
9 Systems theory; control (93-XX)
8 Combinatorics (05-XX)
8 Ordinary differential equations (34-XX)
7 Optics, electromagnetic theory (78-XX)
7 Operations research, mathematical programming (90-XX)
7 Information and communication theory, circuits (94-XX)
6 Real functions (26-XX)
6 Computer science (68-XX)
5 Differential geometry (53-XX)
5 Relativity and gravitational theory (83-XX)
4 Potential theory (31-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-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 Integral transforms, operational calculus (44-XX)
3 Mechanics of particles and systems (70-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 General topology (54-XX)
2 Algebraic topology (55-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Fluid mechanics (76-XX)
2 Biology and other natural sciences (92-XX)
1 Associative rings and algebras (16-XX)
1 Mechanics of deformable solids (74-XX)

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