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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 : 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 : 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 : S. C. Power
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (44 download)
Download or read book Hankel Operators on Hilbert Space written by S. C. Power and published by Pitman Publishing. This book was released on 1982 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970 with total page 368 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 : 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.
Author : Alexandru Aleman
Publisher : Springer
ISBN 13 : 3030146405
Total Pages : 281 pages
Book Rating : 4.0/5 (31 download)
Download or read book Analysis of Operators on Function Spaces written by Alexandru Aleman and published by Springer. This book was released on 2019-05-30 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations.
Author : A. Böttcher
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112707192
Total Pages : 512 pages
Book Rating : 4.1/5 (127 download)
Download or read book Analysis of Toeplitz Operators written by A. Böttcher and published by Walter de Gruyter GmbH & Co KG. This book was released on 1989-12-31 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Analysis of Toeplitz Operators".
Author : Albrecht Böttcher
Publisher :
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.F/5 ( download)
Download or read book Invertibility and Asymptotics of Toeplitz Matrices written by Albrecht Böttcher and published by . This book was released on 1983 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kehe Zhu
Publisher : American Mathematical Soc.
ISBN 13 : 0821839659
Total Pages : 368 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Theory in Function Spaces written by Kehe Zhu and published by American Mathematical Soc.. This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 998 pages
Book Rating : 4.:/5 (318 download)
Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1993 with total page 998 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 :
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.F/5 ( download)
Download or read book Dissertation Abstracts International written by and published by . This book was released on 1995 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:
