×

Böttcher, Albrecht

Author ID: bottcher.albrecht Recent zbMATH articles by "Böttcher, Albrecht"
Published as: Böttcher, Albrecht; Böttcher, A.; Boettcher, A.; Boettcher, Albrecht
Homepage: https://www-user.tu-chemnitz.de/~aboettch/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
all top 5

Co-Authors

46 single-authored
54 Grudsky, Sergei Mikhailovich
34 Silbermann, Bernd
28 Spitkovsky, Ilya Matvey
19 Karlovich, Yuri I.
14 Maksimenko, Egor A.
9 Bogoya, Johan M.
9 Fukshansky, Lenny
8 Garcia, Stephan Ramon
8 Widom, Harold
7 Wolf, Hartmut
6 Gohberg, Israel
6 Heidler, Harald
6 Kaashoek, Marinus Adriaan
6 Maharaj, Hiren
6 Wenzel, David
5 Basor, Estelle L.
5 Dörfler, Peter
5 Ehrhardt, Torsten
5 Embree, Mark
4 Iserles, Arieh
4 Kozak, Anatoli V.
4 Potts, Daniel
4 Rabinovich, Vladimir Samuilovich
4 Roch, Steffen
3 Brualdi, Richard Anthony
3 Dym, Harry
3 Ramírez de Arellano, Enrique
3 Ran, André C. M.
3 Sokolov, Viatcheslav I.
3 Speck, Frank-Olme
3 Tracy, Craig Arnold
2 Bini, Dario Andrea
2 Bogoya, Manuel
2 Crespo, Pedro M.
2 dos Santos, António Ferreira
2 Gutiérrez-Gutiérrez, Jesús
2 Halwass, Martin
2 Karlovych, Oleksiy
2 Krupnik, Naum Yakovlevich
2 Simon, Barry
2 Unterberger, Jérémie M.
1 Al-Musallam, Fadhel A.
1 Barrera, Mauricio
1 Bishop, Christopher James
1 Brunner, Hermann
1 Butzer, Paul Leo
1 Chithra, A. V.
1 Corwin, Ivan Z.
1 Diaconis, Persi Warren
1 Dijksma, Aad
1 Dritschel, Michael A.
1 Dzhirgalova, Svetlana
1 Eisenbarth, Simon
1 Feistauer, Miloslav
1 Garoni, Carlo
1 Gasca, Juanita
1 Gemignani, Luca
1 Heinig, Georg
1 Hofmann, Bernd
1 Hogben, Leslie
1 Hurák, Zdeněk
1 Hurd, Robert Allan
1 Huybrechs, Daan
1 Jones, Douglas Samuel
1 Junghanns, Peter
1 Kelley, Al
1 Kittaneh, Fuad
1 Kozel, Karel
1 Kunis, Stefan
1 Langenau, Holger
1 Langer, Heinz
1 Latz, Norbert
1 Lebre, Amarino Brites
1 Leis, Rolf
1 Lindner, Marko
1 Maz’ya, Vladimir Gilelevich
1 Meister, Claudia-Veronika
1 Meister, Ljudmila
1 Meister, Olaf
1 Mitkovski, Mishko
1 Namboodiri, M. N. N.
1 Nazarov, SergueíA.
1 Needell, Deanna
1 Neustupa, Jiří
1 Nørsett, Syvert Paul
1 Omar, Mohamed
1 O’Neill, Christopher
1 Otte, Peter
1 Pack, Donald Cecil
1 Perälä, Antti Ilmari
1 Pietsch, Albrecht
1 Polettini, Matteo
1 Pontecorvo, Largo Bruno
1 Rebs, Christian
1 Rost, Karla
1 Rovnyak, James
1 Schwartz, Moshe
1 Šebek, Michael
1 Serra-Capizzano, Stefano
1 Seybold, Martin P.
...and 12 more Co-Authors
all top 5

Serials

26 Linear Algebra and its Applications
20 Integral Equations and Operator Theory
12 Mathematische Nachrichten
6 Operator Theory: Advances and Applications
5 Journal of Functional Analysis
5 Zeitschrift für Analysis und ihre Anwendungen
5 ELA. The Electronic Journal of Linear Algebra
4 Journal of Integral Equations and Applications
3 Journal of Mathematical Analysis and Applications
3 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt
3 Acta Scientiarum Mathematicarum
3 Archiv der Mathematik
3 Journal of Computational and Applied Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 Doklady Mathematics
3 Operators and Matrices
2 Journal of Approximation Theory
2 Monatshefte für Mathematik
2 SIAM Journal on Numerical Analysis
2 Soviet Mathematics. Doklady
2 Journal of Operator Theory
2 Revista Matemática Iberoamericana
2 Asymptotic Analysis
2 Bulletin of the American Mathematical Society. New Series
2 St. Petersburg Mathematical Journal
2 ETNA. Electronic Transactions on Numerical Analysis
2 The New York Journal of Mathematics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Sbornik: Mathematics
2 Journal of Spectral Theory
1 Applicable Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Mathematics of Computation
1 Wissenschaftliche Zeitschrift der Technischen Universität Chemnitz
1 Bulletin of the London Mathematical Society
1 Calcolo
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematica Scandinavica
1 Numerical Functional Analysis and Optimization
1 SIAM Journal on Control and Optimization
1 Transactions of the American Mathematical Society
1 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Acta Applicandae Mathematicae
1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik
1 Discrete & Computational Geometry
1 SIAM Journal on Discrete Mathematics
1 Algebra i Analiz
1 Numerical Algorithms
1 Aequationes Mathematicae
1 SIAM Journal on Mathematical Analysis
1 Notices of the American Mathematical Society
1 Irish Mathematical Society Bulletin
1 Indagationes Mathematicae. New Series
1 Journal of Mathematical Sciences (New York)
1 Numerical Linear Algebra with Applications
1 Methods and Applications of Analysis
1 Integral Transforms and Special Functions
1 Electronic Journal of Probability
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 Methods of Functional Analysis and Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Computational Methods and Function Theory
1 Fields Institute Monographs
1 Progress in Mathematics
1 Texts and Readings in Mathematics
1 Communications in Mathematical Analysis
1 Complex Analysis and Operator Theory
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Research in Number Theory
1 Universitext
1 Springer Monographs in Mathematics
1 Mathematical Research

Publications by Year

Citations contained in zbMATH Open

197 Publications have been cited 2,749 times in 1,512 Documents Cited by Year
Introduction to large truncated Toeplitz matrices. Zbl 0916.15012
Böttcher, Albrecht; Silbermann, Bernd
309
1999
Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002
Böttcher, Albrecht; Silbermann, Bernd
275
2006
Spectral properties of banded Toeplitz matrices. Zbl 1089.47001
Böttcher, Albrecht; Grudsky, Sergei M.
192
2005
Analysis of Toeplitz operators. Lizenzausg. d. Akademie-Verl. Berlin. Zbl 0732.47029
Böttcher, Albrecht; Silbermann, Bernd
125
1990
Carleson curves, Muckenhoupt weights, and Toeplitz operators. Zbl 0889.47001
Böttcher, Albrecht; Karlovich, Yuri I.
115
1997
A gentle guide to the basics of two projections theory. Zbl 1189.47073
Böttcher, A.; Spitkovsky, I. M.
105
2010
Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001
Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M.
97
2002
The Frobenius norm and the commutator. Zbl 1173.15010
Böttcher, Albrecht; Wenzel, David
43
2008
Pseudospectra and singular values of large convolution operators. Zbl 0819.45002
Böttcher, Albrecht
42
1994
Toeplitz matrices, asymptotic linear algebra, and functional analysis. Zbl 0969.47022
Böttcher, Albrecht; Grudsky, S. M.
42
2000
How big can the commutator of two matrices be and how big is it typically? Zbl 1077.15020
Böttcher, Albrecht; Wenzel, David
41
2005
Invertibility and asymptotics of Toeplitz matrices. Zbl 0578.47015
Böttcher, Albrecht; Silbermann, Bernd
39
1983
Toeplitz operators with piecewise quasisectorial symbols. Zbl 0721.47028
Böttcher, A.; Silbermann, B.; Spitkovskij, I. M.
38
1990
On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005
Böttcher, Albrecht; Grudsky, Sergei M.
36
1998
Toeplitz matrices and determinants with Fisher-Hartwig symbols. Zbl 0592.47016
Böttcher, Albrecht; Silbermann, Bernd
31
1985
Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086
Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A.
30
2015
Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
30
2010
The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
30
2000
Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Zbl 1110.65041
Böttcher, Albrecht; Hofmann, Bernd; Tautenhahn, Ulrich; Yamamoto, Masahiro
25
2006
Toeplitz operators and determinants generated by symbols with one Fisher- Hartwig singularity. Zbl 0613.47024
Böttcher, Albrecht; Silbermann, Bernd
24
1986
Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041
Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I.
23
1996
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
From Toeplitz eigenvalues through Green’s kernels to higher-order Wirtinger-Sobolev inequalities. Zbl 1118.47016
Böttcher, Albrecht; Widom, Harold
22
2006
Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309
Böttcher, A.; Grudsky, S. M.
22
2005
The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols. Zbl 0549.47010
Böttcher, Albrecht; Silbermann, Bernd
19
1983
Szegő via Jacobi. Zbl 1116.47024
Böttcher, Albrecht; Widom, Harold
18
2006
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
Infinite matrices and projection methods. Zbl 0842.65032
Böttcher, Albrecht
16
1996
A general look at local principles with special emphasis on the norm computation aspect. Zbl 0655.46036
Böttcher, A.; Krupnik, N.; Silbermann, B.
16
1988
Pseudodifferential operators with heavy spectrum. Zbl 0810.47048
Böttcher, A.; Spitkovsky, I. M.
15
1994
Approximation of approximation numbers by truncation. Zbl 1021.47009
Böttcher, A.; Chithra, A. V.; Namboodiri, M. N. N.
15
2001
Wiener-Hopf integral operators with \(PC\) symbols on spaces with Muckenhoupt weight. Zbl 0779.45002
Böttcher, Albrecht; Spitkovsky, Ilya M.
15
1993
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049
Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano
15
2017
The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. Zbl 0479.47025
Boettcher, Albrecht; Silbermann, Bernd
14
1981
Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions. Zbl 1186.41004
Böttcher, Albrecht; Dörfler, Peter
14
2010
Two elementary derivations of the pure Fisher–Hartwig determinant. Zbl 1081.47033
Böttcher, Albrecht; Widom, Harold
14
2005
Functions of banded Hermitian block Toeplitz matrices in signal processing. Zbl 1115.47059
Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.; Böttcher, Albrecht
13
2007
A Gohberg-Kurpnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy and Carleman operators. Zbl 0727.47037
Böttcher, A.; Roch, S.; Silbermann, B.; Spitkovskii, I. M.
13
1990
Asymptotics of Toeplitz and Wiener-Hopf operators. Zbl 0689.45009
Böttcher, Albrecht; Silbermann, Bernd
13
1989
On the determinant formulas by Borodin, Okounkov, Baik, Deift and Rains. Zbl 1040.47016
Böttcher, Albrecht
12
2002
Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
12
1998
One more proof of the Borodin-Okounkov formula for Toeplitz determinants. Zbl 0992.47013
Böttcher, A.
12
2001
Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight. Zbl 0971.47021
Böttcher, A.
12
2000
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.
12
2015
On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line. Zbl 1162.41004
Böttcher, Albrecht; Dörfler, Peter
12
2009
Toeplitz operators with symbols from \(C+H^{\infty}\) in the space \(\ell ^ p\). Zbl 0666.47016
Böttcher, A.; Silbermann, B.
12
1989
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
11
2010
Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028
Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A.
11
2017
Similarity between two projections. Zbl 1508.47021
Böttcher, Albrecht; Simon, Barry; Spitkovsky, Ilya
11
2017
Notes on the asymptotic behavior of block Toeplitz matrices and determinants. Zbl 0468.47016
Böttcher, Albrecht; Silbermann, Bernd
10
1980
The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices. Zbl 1070.47015
Böttcher, A.
10
2004
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
A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials. Zbl 1303.47026
Böttcher, Albrecht; Halwass, Martin
10
2013
Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Zbl 1178.47026
Böttcher, A.; Spitkovsky, I. M.
10
2009
The spectra of large Toeplitz band matrices with a randomly perturbed entry. Zbl 1022.47019
Böttcher, A.; Embree, M.; Sokolov, V. I.
9
2003
\(C^*\)-algebras in numerical analysis. Zbl 1061.46050
Böttcher, Albrecht
9
2000
The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M.
9
2003
The Onsager formula, the Fisher-Hartwig conjecture, and their influence on research into Toeplitz operators. Zbl 1080.47502
Böttcher, Albrecht
9
1995
Toeplitz operators with PQS symbols on weighted Hardy spaces. Zbl 0735.47013
Böttcher, Albrecht; Spitkovksy, Ilya M.
9
1991
Wiener-Hopf determinants with rational symbols. Zbl 0691.45004
Böttcher, Albrecht
9
1989
Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
9
2001
On certain finite-dimensional algebras generated by two idempotents. Zbl 1235.15017
Böttcher, A.; Spitkovsky, I. M.
9
2011
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
Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001
Böttcher, A.; Karlovich, Yu. I.; Silbermann, B.
8
1994
Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025
Böttcher, Albrecht; Grudsky, S. M.
8
2000
On the corona theorem for almost periodic functions. Zbl 0931.46036
Böttcher, A.
8
1999
Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
8
2001
Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026
Böttcher, A.; Grudsky, S. M.
8
1996
Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights. Zbl 0918.47025
Böttcher, Albrecht; Karlovich, Yuri I.
8
1999
Toeplitz determinants with perturbations in the corners. Zbl 1300.15010
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
8
2015
From convergence in distribution to uniform convergence. Zbl 1419.60005
Bogoya, J. M.; Böttcher, A.; Maximenko, E. A.
8
2016
Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011
Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M.
8
2012
Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023
Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V.
8
2021
Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. Zbl 1281.65075
Böttcher, Albrecht; Halwass, Martin
8
2013
Spectral approximation of banded Laurent matrices with localized random perturbations. Zbl 0995.47021
Böttcher, Albrecht; Embree, Mark; Lindner, Marko
8
2002
Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points. Zbl 0823.47027
Böttcher, Albrecht; Karlovich, Yuri I.
7
1995
On large Toeplitz band matrices with an uncertain block. Zbl 1021.15008
Böttcher, A.; Embree, M.; Sokolov, V. I.
7
2003
Norms of Toeplitz matrices with Fisher–Hartwig symbols. Zbl 1145.47023
Böttcher, Albrecht; Virtanen, Jani
7
2007
Mass concentration in quasicommutators of Toeplitz matrices. Zbl 1128.47063
Böttcher, Albrecht; Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.
7
2007
The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
7
2000
Harold Widom’s work in Toeplitz operators. Zbl 07501948
Basor, Estelle; Böttcher, Albrecht; Ehrhardt, Torsten
7
2022
A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols. Zbl 0822.47026
Böttcher, A.; Silbermann, B.; Widom, H.
7
1994
Orthogonal and skew-symmetric operators in real Hilbert space. Zbl 1277.47022
Böttcher, Albrecht; Pietsch, Albrecht
7
2012
The factorization problem: some known results and open questions. Zbl 1280.47027
Böttcher, Albrecht; Spitkovsky, Ilya M.
7
2013
Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight. Zbl 1035.47025
Böttcher, A.; Seybold, M.
7
2002
Infinite Toeplitz and Laurent matrices with localized impurities. Zbl 0995.15013
Böttcher, A.; Embree, M.; Sokolov, V. I.
7
2002
Probability against condition number and sampling of multivariate trigonometric random polynomials. Zbl 1171.65389
Böttcher, Albrecht; Potts, Daniel
7
2007
On the eigenvalues of certain canonical higher-order ordinary differential operators. Zbl 1110.34060
Böttcher, Albrecht; Widom, Harold
6
2006
Emergence, persistence, and disappearance of logarithmic spirals in the spectra of singular integral operators. Zbl 0865.45003
Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S.
6
1996
On lattices generated by finite abelian groups. Zbl 1328.11077
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
6
2015
Classification of the finite-dimensional algebras generated by two tightly coupled idempotents. Zbl 1285.16020
Böttcher, A.; Spitkovsky, I. M.
6
2013
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
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
Toeplitz determinants with piecewise continuous generating function. Zbl 0519.47015
Boettcher, A.
6
1982
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
5
2003
Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030
Böttcher, A.; Grudsky, S. M.
5
2003
The norm of the product of a large matrix and a random vector. Zbl 1065.15032
Böttcher, Albrecht; Grudsky, Sergei
5
2003
Piecewise continuous Toeplitz matrices and operators: Slow approach to infinity. Zbl 1022.47018
Böttcher, Albrecht; Embree, Mark; Trefethen, Lloyd N.
5
2002
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
Asymptotic eigenvalue expansions for Toeplitz matrices with certain Fisher-Hartwig symbols. Zbl 07798264
Bogoya, M.; Böttcher, A.; Grudsky, S. M.
3
2023
Core invertibility of operators from the algebra generated by two orthogonal projections. Zbl 1549.47081
Böttcher, Albrecht; Spitkovsky, Ilya M.
1
2023
Harold Widom’s work in Toeplitz operators. Zbl 07501948
Basor, Estelle; Böttcher, Albrecht; Ehrhardt, Torsten
7
2022
Remembrances of Harold Widom. Zbl 1493.01041
Basor, Estelle; Böttcher, Albrecht; Corwin, Ivan; Diaconis, Persi; Ehrhardt, Torsten; Kelley, Al; Simon, Barry; Tracy, Craig A.; Tromba, Tony
3
2022
Toeplitz operators and random matrices. In memory of Harold Widom. Zbl 1519.47002
2
2022
My encounters with Harold Widom. Zbl 1535.01055
Böttcher, Albrecht
2
2022
Harold Widom’s contributions to the spectral theory and asymptotics of Toeplitz operators and matrices. Zbl 07827897
Basor, Estelle; Böttcher, Albrecht; Ehrhardt, Torsten
1
2022
Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023
Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V.
8
2021
Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials. Zbl 1458.05253
Böttcher, Albrecht; Garcia, Stephan Ramon; Omar, Mohamed; O’Neill, Christopher
3
2021
The norm attainment problem for functions of projections. Zbl 07394760
Böttcher, Albrecht; Spitkovsky, Ilya M.
2
2021
Representing integers by multilinear polynomials. Zbl 1475.11054
Böttcher, Albrecht; Fukshansky, Lenny
2
2020
Spherical 2-designs and lattices from abelian groups. Zbl 1446.11128
Böttcher, Albrecht; Eisenbarth, Simon; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
2
2019
The diversity and beauty of applied operator theory. Proceedings of the 28th international workshop on operator theory and its applications, IWOTA, Chemnitz, Germany 2017. Zbl 1396.47001
2
2018
Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049
Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano
15
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
Similarity between two projections. Zbl 1508.47021
Böttcher, Albrecht; Simon, Barry; Spitkovsky, Ilya
11
2017
The Duduchava-Roch formula. Zbl 1381.47020
Böttcher, Albrecht
3
2017
Addendum to: “Lattices from equiangular tight frames”. Zbl 1403.42033
Böttcher, Albrecht; Fukshansky, Lenny
2
2017
On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm. Zbl 1365.41013
Böttcher, Albrecht; Rebs, Christian
1
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
From convergence in distribution to uniform convergence. Zbl 1419.60005
Bogoya, J. M.; Böttcher, A.; Maximenko, E. A.
8
2016
The limit of the zero set of polynomials of the Fibonacci type. Zbl 1405.11012
Böttcher, Albrecht; Kittaneh, Fuad
4
2016
Lattices from equiangular tight frames. Zbl 1403.42034
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren; Needell, Deanna
3
2016
On the symmetrization of general Wiener-Hopf operators. Zbl 1424.47046
Böttcher, A.; Speck, F.-O.
2
2016
Schatten class integral operators occurring in Markov-type inequalities. Zbl 1377.47009
Böttcher, Albrecht; Langenau, Holger; Widom, Harold
1
2016
Lattices from Hermitian function fields. Zbl 1334.11049
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
1
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.
30
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.
12
2015
Toeplitz determinants with perturbations in the corners. Zbl 1300.15010
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
8
2015
On lattices generated by finite abelian groups. Zbl 1328.11077
Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren
6
2015
Borodin-Okounkov and Szegő for Toeplitz operators on model spaces. Zbl 1312.47032
Böttcher, Albrecht
2
2014
A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials. Zbl 1303.47026
Böttcher, Albrecht; Halwass, Martin
10
2013
Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. Zbl 1281.65075
Böttcher, Albrecht; Halwass, Martin
8
2013
The factorization problem: some known results and open questions. Zbl 1280.47027
Böttcher, Albrecht; Spitkovsky, Ilya M.
7
2013
Classification of the finite-dimensional algebras generated by two tightly coupled idempotents. Zbl 1285.16020
Böttcher, A.; Spitkovsky, I. M.
6
2013
Best constants for Markov type inequalities in Hilbert space norms. Zbl 1299.26044
Böttcher, Albrecht
4
2013
Preface. Zbl 1298.00102
1
2013
The index formula of Douglas for block Toeplitz operators on the Bergman space of the ball. Zbl 1283.47031
Böttcher, Albrecht; Perälä, Antti
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
Orthogonal and skew-symmetric operators in real Hilbert space. Zbl 1277.47022
Böttcher, Albrecht; Pietsch, Albrecht
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.
6
2012
Group inversion in certain finite-dimensional algebras generated by two idempotents. Zbl 1262.15018
Böttcher, A.; Spitkovsky, I. M.
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
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
On certain finite-dimensional algebras generated by two idempotents. Zbl 1235.15017
Böttcher, A.; Spitkovsky, I. M.
9
2011
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
On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights. Zbl 1222.41034
Böttcher, Albrecht; Dörfler, Peter
4
2011
Inequalities of the Markov type for partial derivatives of polynomials in several variables. Zbl 1221.41006
Böttcher, Albrecht; Dörfler, Peter
4
2011
A gentle guide to the basics of two projections theory. Zbl 1189.47073
Böttcher, A.; Spitkovsky, I. M.
105
2010
Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009
Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A.
30
2010
Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions. Zbl 1186.41004
Böttcher, Albrecht; Dörfler, Peter
14
2010
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
11
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
On the best constants in Markov-type inequalities involving Laguerre norms with different weights. Zbl 1205.41024
Böttcher, Albrecht; Dörfler, Peter
3
2010
On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line. Zbl 1162.41004
Böttcher, Albrecht; Dörfler, Peter
12
2009
Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Zbl 1178.47026
Böttcher, A.; Spitkovsky, I. M.
10
2009
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
Probabilistic spherical Marcinkiewicz-Zygmund inequalities. Zbl 1168.42002
Böttcher, Albrecht; Kunis, Stefan; Potts, Daniel
5
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
Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023
Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe
3
2009
The Frobenius norm and the commutator. Zbl 1173.15010
Böttcher, Albrecht; Wenzel, David
43
2008
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
Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029
Böttcher, Albrecht; Grudsky, Sergei
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
Orthogonal symmetric Toeplitz matrices. Zbl 1157.47021
Böttcher, Albrecht
3
2008
Asymptotic pseudomodes of Toeplitz matrices. Zbl 1172.47021
Böttcher, Albrecht; Grudsky, Sergei; Unterberger, Jérémie
1
2008
Functions of banded Hermitian block Toeplitz matrices in signal processing. Zbl 1115.47059
Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.; Böttcher, Albrecht
13
2007
Norms of Toeplitz matrices with Fisher–Hartwig symbols. Zbl 1145.47023
Böttcher, Albrecht; Virtanen, Jani
7
2007
Mass concentration in quasicommutators of Toeplitz matrices. Zbl 1128.47063
Böttcher, Albrecht; Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.
7
2007
Probability against condition number and sampling of multivariate trigonometric random polynomials. Zbl 1171.65389
Böttcher, Albrecht; Potts, Daniel
7
2007
Generalized Krein algebras and asymptotics of Toeplitz determinants. Zbl 1144.47311
Böttcher, A.; Karlovich, A.; Silbermann, B.
2
2007
A probability argument in favor of ignoring small singular values. Zbl 1120.65055
Boettcher, Albrecht; Potts, Daniel; Wenzel, David
2
2007
Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002
Böttcher, Albrecht; Silbermann, Bernd
275
2006
Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Zbl 1110.65041
Böttcher, Albrecht; Hofmann, Bernd; Tautenhahn, Ulrich; Yamamoto, Masahiro
25
2006
From Toeplitz eigenvalues through Green’s kernels to higher-order Wirtinger-Sobolev inequalities. Zbl 1118.47016
Böttcher, Albrecht; Widom, Harold
22
2006
Szegő via Jacobi. Zbl 1116.47024
Böttcher, Albrecht; Widom, Harold
18
2006
On the eigenvalues of certain canonical higher-order ordinary differential operators. Zbl 1110.34060
Böttcher, Albrecht; Widom, Harold
6
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
On the problem of testing the structure of a matrix by displacement operations. Zbl 1117.65058
Böttcher, Albrecht
2
2006
On the verification of linear equations and the identification of the Toeplitz-plus-Hankel structure. Zbl 1126.47027
Böttcher, Albrecht; Wenzel, David
1
2006
Schatten norms of Toeplitz matrices with Fisher–Hartwig singularities. Zbl 1140.47310
Böttcher, Albrecht
1
2006
Minimum distance to the range of a banded lower triangular Toeplitz operator in \(\ell^1\) and application in \(\ell^1\)-optimal control. Zbl 1116.47025
Hurák, Zdeněk; Böttcher, Albrecht; Šebek, Michael
1
2006
Spectral properties of banded Toeplitz matrices. Zbl 1089.47001
Böttcher, Albrecht; Grudsky, Sergei M.
192
2005
How big can the commutator of two matrices be and how big is it typically? Zbl 1077.15020
Böttcher, Albrecht; Wenzel, David
41
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
Two elementary derivations of the pure Fisher–Hartwig determinant. Zbl 1081.47033
Böttcher, Albrecht; Widom, Harold
14
2005
The first Szegő limit theorem for non-selfadjoint operators in the Følner algebra. Zbl 1094.47039
Böttcher, Albrecht; Otte, Peter
5
2005
The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices. Zbl 1070.47015
Böttcher, A.
10
2004
Transient behavior of powers and exponentials of large Toeplitz matrices. Zbl 1085.47033
Böttcher, Albrecht
2
2004
Topics in the numerical linear algebra of Toeplitz and Hankel matrices. Zbl 1093.47028
Böttcher, Albrecht; Rost, Karla
2
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
The spectra of large Toeplitz band matrices with a randomly perturbed entry. Zbl 1022.47019
Böttcher, A.; Embree, M.; Sokolov, V. I.
9
2003
The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027
Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M.
9
2003
On large Toeplitz band matrices with an uncertain block. Zbl 1021.15008
Böttcher, A.; Embree, M.; Sokolov, V. I.
7
2003
Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014
Böttcher, A.; Grudsky, S.; Spitkovsky, I.
5
2003
Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030
Böttcher, A.; Grudsky, S. M.
5
2003
...and 97 more Documents
all top 5

Cited by 1,508 Authors

93 Böttcher, Albrecht
77 Serra-Capizzano, Stefano
57 Karlovich, Yuri I.
46 Silbermann, Bernd
43 Grudsky, Sergei Mikhailovich
43 Spitkovsky, Ilya Matvey
40 Karlovych, Oleksiy
28 Garoni, Carlo
27 Ehrhardt, Torsten
27 Roch, Steffen
20 Basor, Estelle L.
17 Câmara, Maria Cristina
16 Shargorodsky, Eugene
15 Maksimenko, Egor A.
14 Bini, Dario Andrea
14 Sesana, Debora
13 Garcia, Stephan Ramon
13 Lindner, Marko
13 Rabinovich, Vladimir Samuilovich
13 Sharma, Basant Lal
12 Bastos, Maria Amélia
12 Pinheiro de Castro, Luís Filipe
12 Deng, Chunyuan
12 Fernandes, Claudio A.
11 Ekström, Sven-Erik
11 Rambour, Philippe
11 Rodman, Leiba X.
11 Seidel, Markus
10 Barbarino, Giovanni
10 Bogoya, Manuel
10 Cheng, Cheman
10 Didenko, Victor D.
10 Donatelli, Marco
10 Fukshansky, Lenny
10 Hansen, Anders C.
10 Jafarov, Sadulla Z.
10 Meini, Beatrice
10 Widom, Harold
9 Colbrook, Matthew J.
9 Hwang, In Sung
9 Kumar, V. B. Kiran
9 Lee, Woo Young
9 Mazza, Mariarosa
9 Ran, André C. M.
9 Santos, Pedro A.
8 Bogoya, Johan M.
8 Chandler-Wilde, Simon N.
8 Hofmann, Bernd
8 Its, Alexander Rudolfovich
8 Lebre, Amarino Brites
8 Li, Yuan
8 Saker, Samir H.
8 Virtanen, Jani A.
8 Xu, Qingxiang
7 Gu, Caixing
7 Jasiczak, Michał
7 Kokilashvili, Vakhtang
7 Krupnik, Naum Yakovlevich
7 Noschese, Silvia
7 Seghier, Abdellatif
7 Speck, Frank-Olme
7 Speleers, Hendrik
7 Tierz, Miguel
7 Wang, Hong
6 Charlier, Christophe
6 Chruściński, Dariusz
6 Curto, Raúl Enrique
6 dos Santos, António Ferreira
6 Gharakhloo, Roozbeh
6 Kaashoek, Marinus Adriaan
6 Manni, Carla
6 Mathé, Peter
6 Namboodiri, M. N. N.
6 Reichel, Lothar
6 Samko, Stefan Grigor’evich
6 Shi, Weijuan
6 Simon, Barry
6 Stukopin, Vladimir Alekseevich
6 Tablino Possio, Cristina
6 Vassalos, Paris
6 Wei, Yimin
5 Agarwal, Ravi P.
5 Aschbacher, Walter H.
5 Avsyankin, Oleg Gennadievich
5 Bianchi, Davide
5 Bourget, Alain
5 Davies, Edward Brian
5 Deift, Percy A.
5 Dhara, Kousik
5 Duits, Maurice
5 Dym, Harry
5 Embree, Mark
5 Fikioris, George
5 Ginovyan, Mamikon S.
5 Junghanns, Peter
5 Kang, Dong-Oh
5 Kimura, Gen
5 Kulkarni, Sudhir Hanmantrao
5 Maharaj, Hiren
5 Mascarenhas, Helena
...and 1,408 more Authors
all top 5

Cited in 345 Serials

197 Linear Algebra and its Applications
93 Integral Equations and Operator Theory
69 Journal of Mathematical Analysis and Applications
54 Journal of Functional Analysis
29 Complex Analysis and Operator Theory
20 Journal of Computational and Applied Mathematics
20 Numerical Linear Algebra with Applications
18 Mathematische Nachrichten
15 Communications in Mathematical Physics
15 Journal of Approximation Theory
14 Linear and Multilinear Algebra
13 Proceedings of the American Mathematical Society
12 Advances in Mathematics
11 Journal of Statistical Physics
11 Mathematics of Computation
11 Automatica
11 Numerische Mathematik
11 Transactions of the American Mathematical Society
11 Journal of Integral Equations and Applications
11 Banach Journal of Mathematical Analysis
10 Mathematical Notes
10 Zeitschrift für Analysis und ihre Anwendungen
10 Constructive Approximation
10 Numerical Algorithms
10 ELA. The Electronic Journal of Linear Algebra
10 Journal of Spectral Theory
10 Advances in Operator Theory
9 Applied Mathematics and Computation
9 BIT
9 Indagationes Mathematicae. New Series
8 Journal of Mathematical Physics
8 Mathematical Methods in the Applied Sciences
8 SIAM Journal on Matrix Analysis and Applications
8 Journal of Mathematical Sciences (New York)
8 ETNA. Electronic Transactions on Numerical Analysis
8 Journal of Statistical Mechanics: Theory and Experiment
8 Operators and Matrices
8 Annals of Functional Analysis
7 Numerical Functional Analysis and Optimization
7 Boletín de la Sociedad Matemática Mexicana. Third Series
7 The Journal of Fourier Analysis and Applications
7 Complex Variables and Elliptic Equations
7 Journal of Physics A: Mathematical and Theoretical
7 Random Matrices: Theory and Applications
6 Communications on Pure and Applied Mathematics
6 Letters in Mathematical Physics
6 The Annals of Probability
6 Bulletin des Sciences Mathématiques
6 Journal of High Energy Physics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Special Matrices
6 Transactions of A. Razmadze Mathematical Institute
5 Computers & Mathematics with Applications
5 Journal of Computational Physics
5 Nuclear Physics. B
5 Studia Mathematica
5 The Annals of Statistics
5 Archiv der Mathematik
5 Acta Applicandae Mathematicae
5 Probability Theory and Related Fields
5 SIAM Journal on Applied Mathematics
5 Turkish Journal of Mathematics
5 Journal of Inverse and Ill-Posed Problems
5 Sbornik: Mathematics
5 Journal of Inequalities and Applications
5 Foundations of Computational Mathematics
5 Probability Surveys
4 Analysis Mathematica
4 Computer Methods in Applied Mechanics and Engineering
4 Ukrainian Mathematical Journal
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Reviews in Mathematical Physics
4 Calcolo
4 Canadian Mathematical Bulletin
4 Functional Analysis and its Applications
4 Journal of Combinatorial Theory. Series A
4 Journal of Differential Equations
4 Monatshefte für Mathematik
4 SIAM Journal on Numerical Analysis
4 Computational Mathematics and Mathematical Physics
4 Bulletin of the American Mathematical Society. New Series
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 SIAM Journal on Scientific Computing
4 Applied and Computational Harmonic Analysis
4 St. Petersburg Mathematical Journal
4 Annales Henri Poincaré
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mediterranean Journal of Mathematics
4 Concrete Operators
3 Nonlinearity
3 Rocky Mountain Journal of Mathematics
3 Acta Scientiarum Mathematicarum
3 Bulletin of the London Mathematical Society
3 Duke Mathematical Journal
3 Journal of Statistical Planning and Inference
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Systems & Control Letters
3 Bulletin of the Iranian Mathematical Society
...and 245 more Serials
all top 5

Cited in 58 Fields

781 Operator theory (47-XX)
488 Linear and multilinear algebra; matrix theory (15-XX)
320 Numerical analysis (65-XX)
233 Functional analysis (46-XX)
143 Harmonic analysis on Euclidean spaces (42-XX)
133 Integral equations (45-XX)
126 Functions of a complex variable (30-XX)
115 Partial differential equations (35-XX)
110 Probability theory and stochastic processes (60-XX)
72 Quantum theory (81-XX)
66 Approximations and expansions (41-XX)
61 Statistical mechanics, structure of matter (82-XX)
52 Statistics (62-XX)
34 Number theory (11-XX)
33 Real functions (26-XX)
32 Information and communication theory, circuits (94-XX)
31 Special functions (33-XX)
31 Systems theory; control (93-XX)
30 Combinatorics (05-XX)
26 Ordinary differential equations (34-XX)
23 Computer science (68-XX)
21 Dynamical systems and ergodic theory (37-XX)
20 Mechanics of deformable solids (74-XX)
19 Difference and functional equations (39-XX)
19 Abstract harmonic analysis (43-XX)
17 Optics, electromagnetic theory (78-XX)
15 Several complex variables and analytic spaces (32-XX)
15 Operations research, mathematical programming (90-XX)
14 Differential geometry (53-XX)
13 Integral transforms, operational calculus (44-XX)
13 Fluid mechanics (76-XX)
11 Associative rings and algebras (16-XX)
11 Group theory and generalizations (20-XX)
10 Potential theory (31-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 History and biography (01-XX)
9 Sequences, series, summability (40-XX)
8 Algebraic geometry (14-XX)
8 Topological groups, Lie groups (22-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Field theory and polynomials (12-XX)
7 Convex and discrete geometry (52-XX)
7 General topology (54-XX)
6 Nonassociative rings and algebras (17-XX)
6 Measure and integration (28-XX)
5 \(K\)-theory (19-XX)
4 Biology and other natural sciences (92-XX)
3 Geometry (51-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
2 Geophysics (86-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year

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