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Author : Stephen Abbott
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.X/5 (2 download)
Download or read book Vectorial Hankel Operators with Toeplitz Weights written by Stephen Abbott and published by . This book was released on 1993 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peng Lin
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.:/5 (357 download)
Download or read book Hankel and Toeplitz Operators on Some Weighted Spaces of Entire Functions written by Peng Lin and published by . This book was released on 1996 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Peller
Publisher : Springer Science & Business Media
ISBN 13 : 0387216812
Total Pages : 789 pages
Book Rating : 4.3/5 (872 download)
Download or read book Hankel Operators and Their Applications written by Vladimir Peller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to describe the theory of Hankel operators, one of the most important classes of operators on spaces of analytic func tions. Hankel operators can be defined as operators having infinite Hankel matrices (i. e. , matrices with entries depending only on the sum of the co ordinates) with respect to some orthonormal basis. Finite matrices with this property were introduced by Hankel, who found interesting algebraic properties of their determinants. One of the first results on infinite Han kel matrices was obtained by Kronecker, who characterized Hankel matri ces of finite rank as those whose entries are Taylor coefficients of rational functions. Since then Hankel operators (or matrices) have found numerous applications in classical problems of analysis, such as moment problems, orthogonal polynomials, etc. Hankel operators admit various useful realizations, such as operators on spaces of analytic functions, integral operators on function spaces on (0,00), operators on sequence spaces. In 1957 Nehari described the bounded Hankel operators on the sequence space £2. This description turned out to be very important and started the contemporary period of the study of Hankel operators. We begin the book with introductory Chapter 1, which defines Hankel operators and presents their basic properties. We consider different realiza tions of Hankel operators and important connections of Hankel operators with the spaces BMa and V MO, Sz. -Nagy-Foais functional model, re producing kernels of the Hardy class H2, moment problems, and Carleson imbedding operators.
Author : A. Bottcher
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112760417
Total Pages : 200 pages
Book Rating : 4.1/5 (127 download)
Download or read book Invertibility and Asymptotics of Toeplitz Matrices written by A. Bottcher and published by Walter de Gruyter GmbH & Co KG. This book was released on 1983-12-31 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Invertibility and Asymptotics of Toeplitz Matrices".
Author : Nikolai K. Nikolski
Publisher : American Mathematical Soc.
ISBN 13 : 0821849336
Total Pages : 482 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operators, Functions, and Systems - An Easy Reading written by Nikolai K. Nikolski and published by American Mathematical Soc.. This book was released on 2002 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of two volumes, this text combines distinct topics of modern analysis and its applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators. Each topic has important implications for complex analysis.
Author : Jonathan R. Partington
Publisher : Cambridge University Press
ISBN 13 : 9780521367912
Total Pages : 116 pages
Book Rating : 4.3/5 (679 download)
Download or read book An Introduction to Hankel Operators written by Jonathan R. Partington and published by Cambridge University Press. This book was released on 1988 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hankel operators are of wide application in mathematics and engineering and this account of them is both elementary and rigorous.
Author : Joshua Brough Isralowitz
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (757 download)
Download or read book Size Estimates of Toeplitz and Hankel Operators on the Bergman and Fock Space written by Joshua Brough Isralowitz and published by . This book was released on 2010 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this dissertation, we characterize Hankel operators $H_f ^{(t)} $ and $H_{\bar{f}} ^{(t)}$ on the Fock space $H^2(\mathbb{C}^n, d\mu_t)$ that are simultaneously in the Schatten classes $S_p$ for $0 0$ if and only if $T_f ^{(t)}$ is compact on $H^2(\mathbb{C}^n, d\mu_t)$ for \textbf{ all} $t> 0$, and we show that the same result holds for the standard weighted Bergman space $L_a ^2 (\mathbb{B}_n, dv_\alpha)$ of the unit ball. Finally, we characterize compact operators $S$ on $H^2(\mathbb{C}^n, d\mu_t)$ that are finite sums of finite products of Toeplitz operators with BT symbols.
Author : John Joseph Long
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.3/5 (129 download)
Download or read book Hyponormal Toeplitz Operators and Weighted Shifts written by John Joseph Long and published by . This book was released on 1984 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albrecht Böttcher
Publisher : Springer Science & Business Media
ISBN 13 : 366202652X
Total Pages : 511 pages
Book Rating : 4.6/5 (62 download)
Download or read book Analysis of Toeplitz Operators written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.
Author : Fusheng Nie
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (38 download)
Download or read book Products of Toeplitz Operators and Products of Hankel Operators on the Unit Sphere written by Fusheng Nie and published by . This book was released on 1997 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bettina Rehberg
Publisher :
ISBN 13 :
Total Pages : 90 pages
Book Rating : 4.:/5 (633 download)
Download or read book Toeplitz and Hankel Operators on Generalized Holomorphic and Harmonic Bergman-Hardy written by Bettina Rehberg and published by . This book was released on 2000 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Svante Janson
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (185 download)
Download or read book A New Generalization of HANKEL Operators written by Svante Janson and published by . This book was released on 1985 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Estelle L. Basor
Publisher : Birkhäuser
ISBN 13 : 3034885431
Total Pages : 208 pages
Book Rating : 4.0/5 (348 download)
Download or read book Toeplitz Operators and Related Topics written by Estelle L. Basor and published by Birkhäuser. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.
Author : Albrecht Böttcher
Publisher : Springer Science & Business Media
ISBN 13 : 3540324364
Total Pages : 672 pages
Book Rating : 4.5/5 (43 download)
Download or read book Analysis of Toeplitz Operators written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2006-10-11 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.
Author : Harald Upmeier
Publisher : Springer Science & Business Media
ISBN 13 : 9783764352820
Total Pages : 512 pages
Book Rating : 4.3/5 (528 download)
Download or read book Toeplitz Operators and Index Theory in Several Complex Variables written by Harald Upmeier and published by Springer Science & Business Media. This book was released on 1995-01-26 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: 4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2 Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250 Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains 284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290 4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C* -Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains 325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5. Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction 371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394 5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455 References 462 Index of Symbols and Notations 471 In trod uction Toeplitz operators on the classical Hardy space (on the I-torus) and the closely related Wiener-Hopf operators (on the half-line) form a central part of operator theory, with many applications e. g. , to function theory on the unit disk and to the theory of integral equations.
Author : F. Ricci
Publisher : Springer
ISBN 13 : 3540389733
Total Pages : 335 pages
Book Rating : 4.5/5 (43 download)
Download or read book Harmonic Analysis written by F. Ricci and published by Springer. This book was released on 2006-11-14 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S.C. Power
Publisher : Springer Science & Business Media
ISBN 13 : 9400953747
Total Pages : 392 pages
Book Rating : 4.4/5 (9 download)
Download or read book Operators and Function Theory written by S.C. Power and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the modern study of Hilbert space operators there has been an increasingly subtle involvement with analytic function theory. This is evident in the analysis of subnormal operators, Toeplitz operators and Hankel operators, for example. On the other hand the operator theoretic viewpoint of interpolation by analytic functions is a powerful one. There has been significant activity in recent years, within these enriching interactions, and the time seemed right for an overview ot the main lines of development. The Advanced Study Institute 'Operators and Function Theory' in Lancaster, 1984, was devoted to this, and this book contains ex panded versions (and one contraction) of the main lecture prog ramme. These varied articles, by prominent researchers, include, for example, a survey of recent results on subnormal operators, recent work of Soviet mathematicians on Hankel and Toeplitz operators, expositions of the decomposition theory and inter polation theory for Bergman, Besov and Bloch spaces, with applic ations for special operators, the Krein space approach to inter polation problems, •• and much more. It is hoped that these proceedings will bring all this lively mathematics to a wider audience. Sincere thanks are due to the Scientific Committee of the North Atlantic Treaty Organisation for the generous support that made the institute possible, and to the London Mathematical Society and the British Council for important additional support. Warm thanks also go to Barry Johnson and the L.M.S. for early guidance, and to my colleague Graham Jameson for much organisational support.
