Edit Profile (opens in new tab) Böttcher, Albrecht Compute Distance To: Compute Author ID: bottcher.albrecht Published as: Böttcher, Albrecht; Böttcher, A.; Boettcher, A.; Boettcher, Albrecht more...less Homepage: https://www-user.tu-chemnitz.de/~aboettch/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 221 Publications since 1980, including 9 Books 10 Contributions as Editor · 1 Further Contribution Reviewing Activity: 7 Reviews Biographic References: 8 Publications Co-Authors: 86 Co-Authors with 190 Joint Publications 2,581 Co-Co-Authors all top 5 Co-Authors 42 single-authored 51 Grudsky, Sergei Mikhailovich 34 Silbermann, Bernd 26 Spitkovsky, Ilya Matvey 19 Karlovich, Yuri I. 13 Maksimenko, Egor A. 9 Bogoya, Johan M. 8 Fukshansky, Lenny 8 Widom, Harold 7 Garcia, Stephan Ramon 7 Wolf, Hartmut 6 Gohberg, Israel 6 Heidler, Harald 6 Kaashoek, Marinus Adriaan 6 Maharaj, Hiren 6 Wenzel, David 5 Dörfler, Peter 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 2 Bini, Dario Andrea 2 Crespo, Pedro M. 2 dos Santos, António Ferreira 2 Gutiérrez-Gutiérrez, Jesús 2 Halwass, Martin 2 Karlovych, Oleksiy 2 Krupnik, Naum Yakovlevich 2 Unterberger, Jérémie M. 1 Al-Musallam, Fadhel A. 1 Basor, Estelle L. 1 Bishop, Christopher James 1 Brunner, Hermann 1 Butzer, Paul Leo 1 Chithra, A. V. 1 Dijksma, Aad 1 Dritschel, Michael A. 1 Dzhirgalova, Svetlana 1 Ehrhardt, Torsten 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 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 Namboodiri, M. N. N. 1 Nazarov, SergueíA. 1 Needell, Deanna 1 Neustupa, Jiří 1 Nørsett, Syvert Paul 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. 1 Simon, Barry 1 Tautenhahn, Ulrich 1 Teixeira, Francisco S. 1 Tisseur, Françoise 1 Trefethen, Lloyd Nicholas 1 Virtanen, Jani A. 1 von Wolfersdorf, Lothar 1 Vu Kim Tuan 1 Wegert, Elias ...and 2 more Co-Authors all top 5 Serials 25 Linear Algebra and its Applications 20 Integral Equations and Operator Theory 12 Mathematische Nachrichten 5 Journal of Functional Analysis 5 Zeitschrift für Analysis und ihre Anwendungen 5 ELA. The Electronic Journal of Linear Algebra 5 Operator Theory: Advances and Applications 4 Journal of Integral Equations and Applications 3 Journal of Mathematical Analysis and Applications 3 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt 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 Seminar Analysis. Operator Equations and Numerical Analysis 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 Acta Scientiarum Mathematicarum 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 Irish Mathematical Society Bulletin 1 Indagationes Mathematicae. New Series 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 Journal of Spectral Theory 1 Research in Number Theory 1 Universitext 1 Springer Monographs in Mathematics 1 Mathematical Research all top 5 Fields 180 Operator theory (47-XX) 100 Linear and multilinear algebra; matrix theory (15-XX) 49 Integral equations (45-XX) 46 Numerical analysis (65-XX) 36 Functional analysis (46-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 19 Functions of a complex variable (30-XX) 12 Approximations and expansions (41-XX) 11 History and biography (01-XX) 9 Number theory (11-XX) 8 General and overarching topics; collections (00-XX) 8 Real functions (26-XX) 7 Combinatorics (05-XX) 6 Difference and functional equations (39-XX) 6 Probability theory and stochastic processes (60-XX) 5 Associative rings and algebras (16-XX) 5 Convex and discrete geometry (52-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 Field theory and polynomials (12-XX) 3 Ordinary differential equations (34-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 175 Publications have been cited 1,865 times in 1,084 Documents Cited by ▼ Year ▼ Introduction to large truncated Toeplitz matrices. Zbl 0916.15012Böttcher, Albrecht; Silbermann, Bernd 207 1999 Spectral properties of banded Toeplitz matrices. Zbl 1089.47001Böttcher, Albrecht; Grudsky, Sergei M. 132 2005 Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002Böttcher, Albrecht; Silbermann, Bernd 111 2006 Analysis of Toeplitz operators. Lizenzausg. d. Akademie-Verl. Berlin. Zbl 0732.47029Böttcher, Albrecht; Silbermann, Bernd 101 1990 A gentle guide to the basics of two projections theory. Zbl 1189.47073Böttcher, A.; Spitkovsky, I. M. 76 2010 Carleson curves, Muckenhoupt weights, and Toeplitz operators. Zbl 0889.47001Böttcher, Albrecht; Karlovich, Yuri I. 71 1997 Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M. 62 2002 Toeplitz operators with piecewise quasisectorial symbols. Zbl 0721.47028Böttcher, A.; Silbermann, B.; Spitkovskij, I. M. 37 1990 How big can the commutator of two matrices be and how big is it typically? Zbl 1077.15020Böttcher, Albrecht; Wenzel, David 36 2005 Pseudospectra and singular values of large convolution operators. Zbl 0819.45002Böttcher, Albrecht 33 1994 The Frobenius norm and the commutator. Zbl 1173.15010Böttcher, Albrecht; Wenzel, David 32 2008 Invertibility and asymptotics of Toeplitz matrices. Zbl 0578.47015Böttcher, Albrecht; Silbermann, Bernd 31 1983 On the condition numbers of large semi-definite Toeplitz matrices. Zbl 0934.15005Böttcher, Albrecht; Grudsky, Sergei M. 27 1998 Toeplitz matrices and determinants with Fisher-Hartwig symbols. Zbl 0592.47016Böttcher, Albrecht; Silbermann, Bernd 24 1985 The method of limit operators for one-dimensional singular integrals with slowly oscillating data. Zbl 0993.47026Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S. 23 2000 Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Zbl 1110.65041Böttcher, Albrecht; Hofmann, Bernd; Tautenhahn, Ulrich; Yamamoto, Masahiro 22 2006 Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309Böttcher, A.; Grudsky, S. M. 22 2005 Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I. 21 1996 Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 21 2010 Toeplitz operators and determinants generated by symbols with one Fisher- Hartwig singularity. Zbl 0613.47024Böttcher, Albrecht; Silbermann, Bernd 21 1986 Toeplitz matrices, asymptotic linear algebra, and functional analysis. Zbl 0969.47022Böttcher, Albrecht; Grudsky, S. M. 20 2000 Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025Boettcher, A.; Grudsky, S. M.; Silbermann, B. 19 1997 From Toeplitz eigenvalues through Green’s kernels to higher-order Wirtinger-Sobolev inequalities. Zbl 1118.47016Böttcher, Albrecht; Widom, Harold 17 2006 Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 15 2015 Asymptotics of Toeplitz and Wiener-Hopf operators. Zbl 0689.45009Böttcher, Albrecht; Silbermann, Bernd 13 1989 Functions of banded Hermitian block Toeplitz matrices in signal processing. Zbl 1115.47059Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.; Böttcher, Albrecht 13 2007 Two elementary derivations of the pure Fisher–Hartwig determinant. Zbl 1081.47033Böttcher, Albrecht; Widom, Harold 12 2005 A general look at local principles with special emphasis on the norm computation aspect. Zbl 0655.46036Böttcher, A.; Krupnik, N.; Silbermann, B. 12 1988 The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. Zbl 0479.47025Boettcher, Albrecht; Silbermann, Bernd 12 1981 Szegő via Jacobi. Zbl 1116.47024Böttcher, Albrecht; Widom, Harold 12 2006 Wiener-Hopf integral operators with \(PC\) symbols on spaces with Muckenhoupt weight. Zbl 0779.45002Böttcher, Albrecht; Spitkovsky, Ilya M. 11 1993 Pseudodifferential operators with heavy spectrum. Zbl 0810.47048Böttcher, A.; Spitkovsky, I. M. 11 1994 Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions. Zbl 1186.41004Böttcher, Albrecht; Dörfler, Peter 11 2010 The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols. Zbl 0549.47010Böttcher, Albrecht; Silbermann, Bernd 11 1983 Approximation of approximation numbers by truncation. Zbl 1021.47009Böttcher, A.; Chithra, A. V.; Namboodiri, M. N. N. 11 2001 Toeplitz operators with symbols from \(C+H^{\infty}\) in the space \(\ell ^ p\). Zbl 0666.47016Böttcher, A.; Silbermann, B. 10 1989 One more proof of the Borodin-Okounkov formula for Toeplitz determinants. Zbl 0992.47013Böttcher, A. 10 2001 Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1331.47046Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 10 2016 Wiener-Hopf determinants with rational symbols. Zbl 0691.45004Böttcher, Albrecht 9 1989 The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices. Zbl 1070.47015Böttcher, A. 9 2004 On the determinant formulas by Borodin, Okounkov, Baik, Deift and Rains. Zbl 1040.47016Böttcher, Albrecht 9 2002 Mellin pseudodifferential operators with slowly varying symbols and singular integrals on Carleson curves with Muckenhoupt weights. Zbl 0913.47046Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S. 9 1998 Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano 9 2017 A Gohberg-Kurpnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy and Carleman operators. Zbl 0727.47037Böttcher, A.; Roch, S.; Silbermann, B.; Spitkovskii, I. M. 8 1990 Toeplitz operators with PQS symbols on weighted Hardy spaces. Zbl 0735.47013Böttcher, Albrecht; Spitkovksy, Ilya M. 8 1991 Infinite matrices and projection methods. Zbl 0842.65032Böttcher, Albrecht 8 1996 Toeplitz operators with PC symbols on general Carleson Jordan curves with arbitrary Muckenhoupt weights. Zbl 0918.47025Böttcher, Albrecht; Karlovich, Yuri I. 8 1999 \(C^*\)-algebras in numerical analysis. Zbl 1061.46050Böttcher, Albrecht 8 2000 Notes on the asymptotic behavior of block Toeplitz matrices and determinants. Zbl 0468.47016Böttcher, Albrecht; Silbermann, Bernd 8 1980 The spectra of large Toeplitz band matrices with a randomly perturbed entry. Zbl 1022.47019Böttcher, A.; Embree, M.; Sokolov, V. I. 8 2003 Similarity between two projections. Zbl 06832763Böttcher, Albrecht; Simon, Barry; Spitkovsky, Ilya 8 2017 Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. Zbl 1320.15028Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 8 2015 Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. Zbl 1281.65075Böttcher, Albrecht; Halwass, Martin 7 2013 A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials. Zbl 1303.47026Böttcher, Albrecht; Halwass, Martin 7 2013 Toeplitz and singular integral operators on Carleson curves with logarithmic whirl points. Zbl 0823.47027Böttcher, Albrecht; Karlovich, Yuri I. 7 1995 The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M. 7 2003 Toeplitz operators with frequency modulated semi-almost periodic symbols. Zbl 0996.47035Böttcher, A.; Grudsky, S.; Spitkovsky, I. 7 2001 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Zbl 1178.47026Böttcher, A.; Spitkovsky, I. M. 7 2009 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094Bogoya, J. M.; Böttcher, A.; Grudsky, S. M. 7 2012 Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M. 7 2012 The Onsager formula, the Fisher-Hartwig conjecture, and their influence on research into Toeplitz operators. Zbl 1080.47502Böttcher, Albrecht 7 1995 Toeplitz operators with discontinuous symbols: Phenomena beyond piecewise continuity. Zbl 0887.47026Böttcher, A.; Grudsky, S. M. 6 1996 Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001Böttcher, A.; Karlovich, Yu. I.; Silbermann, B. 6 1994 On certain finite-dimensional algebras generated by two idempotents. Zbl 1235.15017Böttcher, A.; Spitkovsky, I. M. 6 2011 Singular integral operators with complex conjugation from the viewpoint of pseudodifferential operators. Zbl 1004.45010Böttcher, A.; Karlovich, Yu. I.; Rabinovich, V. S. 6 2001 The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices. Zbl 1181.47023Böttcher, A.; Grudsky, S.; Maksimenko, E. A.; Unterberger, J. 6 2009 Mass concentration in quasicommutators of Toeplitz matrices. Zbl 1128.47063Böttcher, Albrecht; Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M. 6 2007 On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line. Zbl 1162.41004Böttcher, Albrecht; Dörfler, Peter 6 2009 Orthogonal and skew-symmetric operators in real Hilbert space. Zbl 1277.47022Böttcher, Albrecht; Pietsch, Albrecht 6 2012 On the structure of the eigenvectors of large Hermitian Toeplitz band matrices. Zbl 1267.47044Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 6 2010 On lattices generated by finite abelian groups. Zbl 1328.11077Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 6 2015 Toeplitz matrices, asymptotic linear algebra and functional analysis. Zbl 0952.47025Böttcher, Albrecht; Grudsky, S. M. 5 2000 The spectrum is discontinuous on the manifold of Toeplitz operators. Zbl 0966.47015Böttcher, A.; Grudsky, S.; Spitkovsky, I. 5 2000 Toeplitz operators with semi-almost periodic symbols on spaces with Muckenhoupt weight. Zbl 1044.47510Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M. 5 1994 On the approximation numbers of large Toeplitz matrices. Zbl 0873.47014Böttcher, A. 5 1997 Discrete Wiener-Hopf operators on spaces with Muckenhoupt weight. Zbl 0971.47021Böttcher, A. 5 2000 On the corona theorem for almost periodic functions. Zbl 0931.46036Böttcher, A. 5 1999 On large Toeplitz band matrices with an uncertain block. Zbl 1021.15008Böttcher, A.; Embree, M.; Sokolov, V. I. 5 2003 Spectral approximation of banded Laurent matrices with localized random perturbations. Zbl 0995.47021Böttcher, Albrecht; Embree, Mark; Lindner, Marko 5 2002 Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight. Zbl 1035.47025Böttcher, A.; Seybold, M. 5 2002 Probability against condition number and sampling of multivariate trigonometric random polynomials. Zbl 1171.65389Böttcher, Albrecht; Potts, Daniel 5 2007 Norms of Toeplitz matrices with Fisher–Hartwig symbols. Zbl 1145.47023Böttcher, Albrecht; Virtanen, Jani 5 2008 Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff. Zbl 1260.15009Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 5 2012 Toeplitz determinants with perturbations in the corners. Zbl 1300.15010Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 4 2015 Local spectra and index of singular integral operators with piecewise continuous coefficients on composed curves. Zbl 0982.47024Bishop, C. J.; Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. 4 1999 A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols. Zbl 0822.47026Böttcher, A.; Silbermann, B.; Widom, H. 4 1994 Two remarks on spectral approximations for Wiener-Hopf operators. Zbl 0809.45003Böttcher, A.; Widom, H. 4 1994 Toeplitz and singular integral operators on general Carleson Jordan curves. Zbl 0887.47027Böttcher, A.; Karlovich, Yu. I. 4 1996 On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E. 4 2006 The norm of the product of a large matrix and a random vector. Zbl 1065.15032Böttcher, Albrecht; Grudsky, Sergei 4 2003 Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052Bini, Dario A.; Böttcher, Albrecht 4 2003 Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014Böttcher, A.; Grudsky, S.; Spitkovsky, I. 4 2003 Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030Böttcher, A.; Grudsky, S. M. 4 2003 Infinite Toeplitz and Laurent matrices with localized impurities. Zbl 0995.15013Böttcher, A.; Embree, M.; Sokolov, V. I. 4 2002 Can spectral value sets of Toeplitz band matrices jump? Zbl 1005.47032Böttcher, A.; Grudsky, S. M. 4 2002 Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities. Zbl 1207.47026Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 4 2011 On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights. Zbl 1222.41034Böttcher, Albrecht; Dörfler, Peter 4 2011 Piecewise continuous Toeplitz matrices and operators: Slow approach to infinity. Zbl 1022.47018Böttcher, Albrecht; Embree, Mark; Trefethen, Lloyd N. 4 2002 Eigenvalue clusters of large tetradiagonal Toeplitz matrices. Zbl 1477.47023Böttcher, Albrecht; Gasca, Juanita; Grudsky, Sergei M.; Kozak, Anatoli V. 1 2021 Spherical 2-designs and lattices from abelian groups. Zbl 1446.11128Böttcher, Albrecht; Eisenbarth, Simon; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 2 2019 Exploration of Toeplitz-like matrices with unbounded symbols is not a purely academic journey. Zbl 1482.47049Böttcher, Albrecht; Garoni, Carlo; Serra-Capizzano, Stefano 9 2017 Similarity between two projections. Zbl 06832763Böttcher, Albrecht; Simon, Barry; Spitkovsky, Ilya 8 2017 Asymptotics of eigenvalues and eigenvectors of Toeplitz matrices. Zbl 1388.15028Böttcher, Albrecht; Bogoya, Johan M.; Grudsky, Sergei M.; Maximenko, Egor A. 3 2017 Addendum to: “Lattices from equiangular tight frames”. Zbl 1403.42033Böttcher, Albrecht; Fukshansky, Lenny 2 2017 On the constants in Markov inequalities for the Laplace operator on polynomials with the Laguerre norm. Zbl 1365.41013Böttcher, Albrecht; Rebs, Christian 1 2017 The Duduchava-Roch formula. Zbl 1381.47020Böttcher, Albrecht 1 2017 Eigenvectors of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1331.47046Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 10 2016 From convergence in distribution to uniform convergence. Zbl 1419.60005Bogoya, J. M.; Böttcher, A.; Maximenko, E. A. 4 2016 Lattices from equiangular tight frames. Zbl 1403.42034Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren; Needell, Deanna 3 2016 On the symmetrization of general Wiener-Hopf operators. Zbl 1424.47046Böttcher, A.; Speck, F.-O. 1 2016 Lattices from Hermitian function fields. Zbl 1334.11049Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 1 2016 The limit of the zero set of polynomials of the Fibonacci type. Zbl 1405.11012Böttcher, Albrecht; Kittaneh, Fuad 1 2016 Eigenvalues of Hermitian Toeplitz matrices with smooth simple-loop symbols. Zbl 1302.65086Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 15 2015 Maximum norm versions of the Szegő and Avram-Parter theorems for Toeplitz matrices. Zbl 1320.15028Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maximenko, E. A. 8 2015 On lattices generated by finite abelian groups. Zbl 1328.11077Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 6 2015 Toeplitz determinants with perturbations in the corners. Zbl 1300.15010Böttcher, Albrecht; Fukshansky, Lenny; Garcia, Stephan Ramon; Maharaj, Hiren 4 2015 Borodin-Okounkov and Szegő for Toeplitz operators on model spaces. Zbl 1312.47032Böttcher, Albrecht 2 2014 Wiener-Hopf and spectral factorization of real polynomials by Newton’s method. Zbl 1281.65075Böttcher, Albrecht; Halwass, Martin 7 2013 A Newton method for canonical Wiener-Hopf and spectral factorization of matrix polynomials. Zbl 1303.47026Böttcher, Albrecht; Halwass, Martin 7 2013 The factorization problem: some known results and open questions. Zbl 1280.47027Böttcher, Albrecht; Spitkovsky, Ilya M. 4 2013 Classification of the finite-dimensional algebras generated by two tightly coupled idempotents. Zbl 1285.16020Böttcher, A.; Spitkovsky, I. M. 2 2013 Preface. Zbl 1298.00102 1 2013 Best constants for Markov type inequalities in Hilbert space norms. Zbl 1299.26044Böttcher, Albrecht 1 2013 Asymptotics of individual eigenvalues of a class of large Hessenberg Toeplitz matrices. Zbl 1390.15094Bogoya, J. M.; Böttcher, A.; Grudsky, S. M. 7 2012 Eigenvalues of Hermitian Toeplitz matrices with polynomially increasing entries. Zbl 1258.15011Bogoya, Johan M.; Böttcher, Albrecht; Grudsky, Sergei M. 7 2012 Orthogonal and skew-symmetric operators in real Hilbert space. Zbl 1277.47022Böttcher, Albrecht; Pietsch, Albrecht 6 2012 Eigenvectors of Hessenberg Toeplitz matrices and a problem by Dai, Geary, and Kadanoff. Zbl 1260.15009Bogoya, 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 1317.47027Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 4 2012 First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh 3 2012 Group inversion in certain finite-dimensional algebras generated by two idempotents. Zbl 1262.15018Böttcher, A.; Spitkovsky, I. M. 2 2012 Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh 7 2011 On certain finite-dimensional algebras generated by two idempotents. Zbl 1235.15017Böttcher, A.; Spitkovsky, I. M. 6 2011 Eigenvalues of Hessenberg Toeplitz matrices generated by symbols with several singularities. Zbl 1207.47026Bogoya, J. M.; Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 4 2011 On the best constants in Markov-type inequalities involving Gegenbauer norms with different weights. Zbl 1222.41034Böttcher, Albrecht; Dörfler, Peter 4 2011 Inequalities of the Markov type for partial derivatives of polynomials in several variables. Zbl 1221.41006Böttcher, Albrecht; Dörfler, Peter 3 2011 A gentle guide to the basics of two projections theory. Zbl 1189.47073Böttcher, A.; Spitkovsky, I. M. 76 2010 Inside the eigenvalues of certain Hermitian Toeplitz band matrices. Zbl 1195.15009Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 21 2010 Weighted Markov-type inequalities, norms of Volterra operators, and zeros of Bessel functions. Zbl 1186.41004Böttcher, Albrecht; Dörfler, Peter 11 2010 On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P. 7 2010 On the structure of the eigenvectors of large Hermitian Toeplitz band matrices. Zbl 1267.47044Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 6 2010 Variable-coefficient Toeplitz matrices with symbols beyond the Wiener algebra. Zbl 1203.15019Böttcher, Albrecht; Grudsky, Sergei 3 2010 On the best constants in Markov-type inequalities involving Laguerre norms with different weights. Zbl 1205.41024Böttcher, Albrecht; Dörfler, Peter 3 2010 Drazin inversion in the von Neumann algebra generated by two orthogonal projections. Zbl 1178.47026Böttcher, A.; Spitkovsky, I. M. 7 2009 The first order asymptotics of the extreme eigenvectors of certain Hermitian Toeplitz matrices. Zbl 1181.47023Böttcher, A.; Grudsky, S.; Maksimenko, E. A.; Unterberger, J. 6 2009 On the best constants in inequalities of the Markov and Wirtinger types for polynomials on the half-line. Zbl 1162.41004Böttcher, Albrecht; Dörfler, Peter 6 2009 Probabilistic spherical Marcinkiewicz-Zygmund inequalities. Zbl 1168.42002Böttcher, Albrecht; Kunis, Stefan; Potts, Daniel 3 2009 Some problems concerning the test functions in the Szegő and Avram-Parter theorems. Zbl 1168.47023Böttcher, Albrecht; Grudsky, Sergei; Schwartz, Moshe 1 2009 On the asymptotics of all eigenvalues of Hermitian Toeplitz band matrices. Zbl 1181.15010Böttcher, A.; Grudsky, S. M.; Maksimenko, E. A. 1 2009 The Frobenius norm and the commutator. Zbl 1173.15010Böttcher, Albrecht; Wenzel, David 32 2008 Norms of Toeplitz matrices with Fisher–Hartwig symbols. Zbl 1145.47023Böttcher, Albrecht; Virtanen, Jani 5 2008 Pushing the envelope of the test functions in the Szegö and Avram-Parter theorems. Zbl 1153.15012Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 4 2008 The Szegő and Avram-Parter theorems for general test functions. Zbl 1145.15007Böttcher, Albrecht; Grudsky, Sergei M.; Maksimenko, Egor A. 4 2008 Uniform boundedness of Toeplitz matrices with variable coefficients. Zbl 1155.47029Böttcher, Albrecht; Grudsky, Sergei 3 2008 Orthogonal symmetric Toeplitz matrices. Zbl 1157.47021Böttcher, Albrecht 3 2008 Asymptotic pseudomodes of Toeplitz matrices. Zbl 1172.47021Böttcher, Albrecht; Grudsky, Sergei; Unterberger, Jérémie 1 2008 Functions of banded Hermitian block Toeplitz matrices in signal processing. Zbl 1115.47059Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M.; Böttcher, Albrecht 13 2007 Mass concentration in quasicommutators of Toeplitz matrices. Zbl 1128.47063Böttcher, Albrecht; Gutiérrez-Gutiérrez, Jesús; Crespo, Pedro M. 6 2007 Probability against condition number and sampling of multivariate trigonometric random polynomials. Zbl 1171.65389Böttcher, Albrecht; Potts, Daniel 5 2007 Generalized Krein algebras and asymptotics of Toeplitz determinants. Zbl 1144.47311Böttcher, A.; Karlovich, A.; Silbermann, B. 2 2007 A probability argument in favor of ignoring small singular values. Zbl 1120.65055Boettcher, Albrecht; Potts, Daniel; Wenzel, David 2 2007 Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002Böttcher, Albrecht; Silbermann, Bernd 111 2006 Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Zbl 1110.65041Böttcher, Albrecht; Hofmann, Bernd; Tautenhahn, Ulrich; Yamamoto, Masahiro 22 2006 From Toeplitz eigenvalues through Green’s kernels to higher-order Wirtinger-Sobolev inequalities. Zbl 1118.47016Böttcher, Albrecht; Widom, Harold 17 2006 Szegő via Jacobi. Zbl 1116.47024Böttcher, Albrecht; Widom, Harold 12 2006 On the asymptotic behavior of the eigenvectors of large banded Toeplitz matrices. Zbl 1101.47015Böttcher, A.; Grudsky, S.; Ramírez de Arellano, E. 4 2006 On the eigenvalues of certain canonical higher-order ordinary differential operators. Zbl 1110.34060Böttcher, Albrecht; Widom, Harold 3 2006 On the problem of testing the structure of a matrix by displacement operations. Zbl 1117.65058Böttcher, 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 1116.47025Hurák, Zdeněk; Böttcher, Albrecht; Šebek, Michael 1 2006 Spectral properties of banded Toeplitz matrices. Zbl 1089.47001Böttcher, Albrecht; Grudsky, Sergei M. 132 2005 How big can the commutator of two matrices be and how big is it typically? Zbl 1077.15020Böttcher, Albrecht; Wenzel, David 36 2005 Structured condition numbers of large Toeplitz matrices are rarely better than usual condition numbers. Zbl 1164.15309Böttcher, A.; Grudsky, S. M. 22 2005 Two elementary derivations of the pure Fisher–Hartwig determinant. Zbl 1081.47033Böttcher, Albrecht; Widom, Harold 12 2005 The first Szegő limit theorem for non-selfadjoint operators in the Følner algebra. Zbl 1094.47039Böttcher, Albrecht; Otte, Peter 3 2005 The constants in the asymptotic formulas by Rambour and Seghier for inverses of Toeplitz matrices. Zbl 1070.47015Böttcher, A. 9 2004 Transient behavior of powers and exponentials of large Toeplitz matrices. Zbl 1085.47033Böttcher, Albrecht 2 2004 Topics in the numerical linear algebra of Toeplitz and Hankel matrices. Zbl 1093.47028Böttcher, Albrecht; Rost, Karla 2 2004 Algebras of Toeplitz operators with oscillating symbols. Zbl 1083.47023Böttcher, Albrecht; Grudsky, Sergei M.; Ramírex de Arellano, Enrique 1 2004 Asymptotically good pseudomodes for Toeplitz matrices and Wiener-Hopf operators. Zbl 1073.47036Böttcher, Albrecht; Grudsky, Sergei 1 2004 The spectra of large Toeplitz band matrices with a randomly perturbed entry. Zbl 1022.47019Böttcher, A.; Embree, M.; Sokolov, V. I. 8 2003 The \(C^{*}\)-algebra of singular integral operators with semi-almost periodic coefficients. Zbl 1048.47027Böttcher, A.; Karlovich, Yu. I.; Spitkovsky, I. M. 7 2003 On large Toeplitz band matrices with an uncertain block. Zbl 1021.15008Böttcher, A.; Embree, M.; Sokolov, V. I. 5 2003 The norm of the product of a large matrix and a random vector. Zbl 1065.15032Böttcher, Albrecht; Grudsky, Sergei 4 2003 Polynomial factorization through Toeplitz matrix computations. Zbl 1022.65052Bini, Dario A.; Böttcher, Albrecht 4 2003 Block Toeplitz operators with frequency-modulated semi-almost periodic symbols. Zbl 1036.47014Böttcher, A.; Grudsky, S.; Spitkovsky, I. 4 2003 Asymptotic spectra of dense Toeplitz matrices are unstable. Zbl 1038.65030Böttcher, A.; Grudsky, S. M. 4 2003 Fejér means and norms of large Toeplitz matrices. Zbl 1049.47030Böttcher, A.; Grudsky, S. 2 2003 On the essential spectrum of Toeplitz operators with semi-almost periodic symbols. Zbl 1038.47022Böttcher, Albrecht; Grudsky, Sergei; Spitkovsky, Ilya 2 2003 Toeplitz matrices with slowly growing pseudospectra. Zbl 1037.47017Böttcher, Albrecht; Grudsky, Sergei 1 2003 Convolution operators and factorization of almost periodic matrix functions. Zbl 1011.47001Böttcher, Albrecht; Karlovich, Yu I.; Spitkovsky, I. M. 62 2002 On the determinant formulas by Borodin, Okounkov, Baik, Deift and Rains. Zbl 1040.47016Böttcher, Albrecht 9 2002 Spectral approximation of banded Laurent matrices with localized random perturbations. Zbl 0995.47021Böttcher, Albrecht; Embree, Mark; Lindner, Marko 5 2002 Discrete one-dimensional zero-order pseudodifferential operators on spaces with Muckenhoupt weight. Zbl 1035.47025Böttcher, A.; Seybold, M. 5 2002 Infinite Toeplitz and Laurent matrices with localized impurities. Zbl 0995.15013Böttcher, A.; Embree, M.; Sokolov, V. I. 4 2002 Can spectral value sets of Toeplitz band matrices jump? Zbl 1005.47032Böttcher, A.; Grudsky, S. M. 4 2002 Piecewise continuous Toeplitz matrices and operators: Slow approach to infinity. Zbl 1022.47018Böttcher, Albrecht; Embree, Mark; Trefethen, Lloyd N. 4 2002 On the distance of a large Toeplitz band matrix to the nearest singular matrix. Zbl 1020.15028Böttcher, A.; Grudsky, S.; Kozak, A. 3 2002 Approximation of approximation numbers by truncation. Zbl 1021.47009Böttcher, A.; Chithra, A. V.; Namboodiri, M. N. N. 11 2001 One more proof of the Borodin-Okounkov formula for Toeplitz determinants. Zbl 0992.47013Böttcher, A. 10 2001 ...and 75 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,116 Authors 81 Böttcher, Albrecht 60 Serra-Capizzano, Stefano 45 Karlovich, Yuri I. 38 Silbermann, Bernd 35 Spitkovsky, Ilya Matvey 28 Grudsky, Sergei Mikhailovich 27 Karlovych, Oleksiy 24 Garoni, Carlo 22 Roch, Steffen 17 Ehrhardt, Torsten 16 Basor, Estelle L. 13 Rabinovich, Vladimir Samuilovich 13 Sesana, Debora 12 Câmara, Maria Cristina 12 Maksimenko, Egor A. 11 Bini, Dario Andrea 11 Pinheiro de Castro, Luís Filipe 11 Rambour, Philippe 10 Bastos, Maria Amélia 10 Cheng, Cheman 10 Rodman, Leiba X. 9 Deng, Chunyuan 9 Donatelli, Marco 9 Garcia, Stephan Ramon 9 Shargorodsky, Eugene 9 Widom, Harold 8 Bogoya, Johan M. 8 Fernandes, Claudio A. 8 Fukshansky, Lenny 8 Hofmann, Bernd 8 Lindner, Marko 8 Meini, Beatrice 8 Seidel, Markus 8 Sharma, Basant Lal 7 Chandler-Wilde, Simon N. 7 Its, Alexander Rudolfovich 7 Krupnik, Naum Yakovlevich 7 Lebre, Amarino Brites 7 Mazza, Mariarosa 7 Seghier, Abdellatif 6 Barbarino, Giovanni 6 Didenko, Victor D. 6 Ekstrom, Sven-Erik 6 Hansen, Anders C. 6 Saker, Samir H. 6 Samko, Stefan Grigorievich 6 Santos, Pedro A. 6 Wang, Hong 5 Aschbacher, Walter H. 5 Davies, Edward Brian 5 dos Santos, António Ferreira 5 Embree, Mark 5 Fikioris, George 5 Jafarov, Sadulla Z. 5 Kumar, V. B. Kiran 5 Maharaj, Hiren 5 Manni, Carla 5 Mathé, Peter 5 Namboodiri, M. N. N. 5 Ramírez de Arellano, Enrique 5 Sakhnovich, Alexander L. 5 Simon, Barry 5 Speck, Frank-Olme 5 Speleers, Hendrik 5 Stukopin, Vladimir Alekseevich 5 Tierz, Miguel 5 Timotin, Dan 5 Wei, Yimin 5 Wenzel, David 5 Xu, Qingxiang 4 Agarwal, Ravi P. 4 Andruchow, Esteban 4 Charlier, Christophe 4 Claeys, Tom 4 Colbrook, Matthew J. 4 Delvaux, Steven 4 Diogo, Cristina 4 Du, Hongke 4 Dym, Harry 4 Elouafi, Mohamed 4 Forrester, Peter J. 4 Ginovyan, Mamikon S. 4 Krasovsky, Igor V. 4 Kulkarni, Sudhir Hanmantrao 4 Li, Yuan 4 Lu, Zhiqin 4 Mascarenhas, Helena 4 Massei, Stefano 4 Nikolov, Geno P. 4 Noutsos, Dimitrios 4 Pereverzev, Sergei V. 4 Pietsch, Albrecht 4 Potts, Daniel 4 Shi, Weijuan 4 Silva, Anabela Sousa 4 Vassalos, Paris 4 Wang, Chuanlong 4 Zheng, Dechao 3 Avsyankin, Oleg Gennadievich 3 Basak, Anirban ...and 1,016 more Authors all top 5 Cited in 276 Serials 159 Linear Algebra and its Applications 85 Integral Equations and Operator Theory 55 Journal of Mathematical Analysis and Applications 42 Journal of Functional Analysis 24 Complex Analysis and Operator Theory 17 Journal of Computational and Applied Mathematics 14 Mathematische Nachrichten 13 Communications in Mathematical Physics 13 Journal of Approximation Theory 11 Journal of Statistical Physics 11 Mathematics of Computation 11 Numerische Mathematik 11 Transactions of the American Mathematical Society 11 Journal of Integral Equations and Applications 10 Mathematical Notes 10 Zeitschrift für Analysis und ihre Anwendungen 8 Linear and Multilinear Algebra 8 Automatica 8 Proceedings of the American Mathematical Society 8 Numerical Algorithms 7 Constructive Approximation 7 ELA. 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Razmadze Mathematical Institute 3 Advances in Operator Theory 2 Applicable Analysis 2 International Journal of Control 2 Inverse Problems 2 Journal d’Analyse Mathématique 2 Mathematical Methods in the Applied Sciences 2 Rocky Mountain Journal of Mathematics 2 Canadian Mathematical Bulletin 2 Journal of Differential Equations 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Results in Mathematics ...and 176 more Serials all top 5 Cited in 57 Fields 539 Operator theory (47-XX) 367 Linear and multilinear algebra; matrix theory (15-XX) 241 Numerical analysis (65-XX) 165 Functional analysis (46-XX) 103 Harmonic analysis on Euclidean spaces (42-XX) 103 Integral equations (45-XX) 90 Partial differential equations (35-XX) 74 Probability theory and stochastic processes (60-XX) 73 Functions of a complex variable (30-XX) 45 Approximations and expansions (41-XX) 43 Statistics (62-XX) 43 Quantum theory (81-XX) 40 Statistical mechanics, structure of matter (82-XX) 28 Systems theory; control (93-XX) 25 Information and communication theory, circuits (94-XX) 23 Number theory (11-XX) 22 Special functions (33-XX) 20 Real functions (26-XX) 19 Combinatorics (05-XX) 17 Ordinary differential equations (34-XX) 15 Computer science (68-XX) 14 Mechanics of deformable solids (74-XX) 13 Difference and functional equations (39-XX) 13 Abstract harmonic analysis (43-XX) 12 Operations research, mathematical programming (90-XX) 11 Differential geometry (53-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Integral transforms, operational calculus (44-XX) 8 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Convex and discrete geometry (52-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Optics, electromagnetic theory (78-XX) 7 Associative rings and algebras (16-XX) 7 Sequences, series, summability (40-XX) 7 Fluid mechanics (76-XX) 6 Nonassociative rings and algebras (17-XX) 6 Measure and integration (28-XX) 6 General topology (54-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Field theory and polynomials (12-XX) 5 Potential theory (31-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 \(K\)-theory (19-XX) 3 Group theory and generalizations (20-XX) 3 Biology and other natural sciences (92-XX) 2 Mathematical logic and foundations (03-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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