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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 : 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 : 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 : Paul A. Fuhrmann
Publisher : Courier Corporation
ISBN 13 : 0486493059
Total Pages : 340 pages
Book Rating : 4.4/5 (864 download)
Download or read book Linear Systems and Operators in Hilbert Space written by Paul A. Fuhrmann and published by Courier Corporation. This book was released on 2014-02-19 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: A treatment of system theory within the context of finite dimensional spaces, this text is appropriate for students with no previous experience of operator theory. The three-part approach, with notes and references for each section, covers linear algebra and finite dimensional systems, operators in Hilbert space, and linear systems in Hilbert space. 1981 edition.
Author : Ruben A. Martinez-Avendano
Publisher : Springer Science & Business Media
ISBN 13 : 0387485783
Total Pages : 230 pages
Book Rating : 4.3/5 (874 download)
Download or read book An Introduction to Operators on the Hardy-Hilbert Space written by Ruben A. Martinez-Avendano and published by Springer Science & Business Media. This book was released on 2007-03-12 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an elementary and engaging introduction to operator theory on the Hardy-Hilbert space. It provides a firm foundation for the study of all spaces of analytic functions and of the operators on them. Blending techniques from "soft" and "hard" analysis, the book contains clear and beautiful proofs. There are numerous exercises at the end of each chapter, along with a brief guide for further study which includes references to applications to topics in engineering.
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 : 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 : 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 : Nikolai K. Nikolski
Publisher : American Mathematical Soc.
ISBN 13 : 0821875132
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 2009-09-04 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 : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034891628
Total Pages : 240 pages
Book Rating : 4.0/5 (348 download)
Download or read book Topics in Operator Theory and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 240 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.
Author : N. Young
Publisher : Cambridge University Press
ISBN 13 : 1107717167
Total Pages : 254 pages
Book Rating : 4.1/5 (77 download)
Download or read book An Introduction to Hilbert Space written by N. Young and published by Cambridge University Press. This book was released on 1988-07-21 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory of Hilbert space and its applications. The notion of Hilbert space is central in functional analysis and is used in numerous branches of pure and applied mathematics. Dr Young has stressed applications of the theory, particularly to the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. It is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). Thus it will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.
Author : Nikolai K. Nikolski
Publisher : American Mathematical Soc.
ISBN 13 : 0821852655
Total Pages : 458 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 2010-10-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Together with the companion volume by the same author, Operators, Functions, and Systems: An Easy Reading. Volume 1: Hardy, Hankel, and Toeplitz, Mathematical Surveys and Monographs, Vol. 92, AMS, 2002, this unique work combines four major topics of modern analysis and its applications: A. Hardy classes of holomorphic functions, B. Spectral theory of Hankel and Toeplitz operators, C. Function models for linear operators and free interpolations, and D. Infinite-dimensional system theory and signal processing. This volume contains Parts C and D. Function models for linear operators and free interpolations: This is a universal topic and, indeed, is the most influential operator theory technique in the post-spectral-theorem era. In this book, its capacity is tested by solving generalized Carleson-type interpolation problems. Infinite-dimensional system theory and signal processing: This topic is the touchstone of the three previously developed techniques. The presence of this applied topic in a pure mathematics environment reflects important changes in the mathematical landscape of the last 20 years, in that the role of the main consumer and customer of harmonic, complex, and operator analysis has more and more passed from differential equations, scattering theory, and probability to control theory and signal processing. This and the companion volume are geared toward a wide audience of readers, from graduate students to professional mathematicians. They develop an elementary approach to the subject while retaining an expert level that can be applied in advanced analysis and selected applications.
Author : Alexander A. Borichev
Publisher : Birkhäuser
ISBN 13 : 3034883625
Total Pages : 536 pages
Book Rating : 4.0/5 (348 download)
Download or read book Systems, Approximation, Singular Integral Operators, and Related Topics written by Alexander A. Borichev and published by Birkhäuser. This book was released on 2012-12-06 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.
Author : Sheldon Jay Axler
Publisher : Cambridge University Press
ISBN 13 : 9780521631938
Total Pages : 490 pages
Book Rating : 4.6/5 (319 download)
Download or read book Holomorphic Spaces written by Sheldon Jay Axler and published by Cambridge University Press. This book was released on 1998-05-28 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.
Author : Avraham Feintuch
Publisher : Springer Science & Business Media
ISBN 13 : 9783764350970
Total Pages : 448 pages
Book Rating : 4.3/5 (59 download)
Download or read book Nonselfadjoint Operators and Related Topics written by Avraham Feintuch and published by Springer Science & Business Media. This book was released on 1994 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the Proceedings of the Joint U.S. / Israel Workshop on Operator Theory and Its Applications, held February 24-28, 1992, at the Ben Gurion University of the Negev, Beersheva. This event was sponsored by the United States / Israel Binational Science Foundation and the Ben Gurion University of the Negev, and many outstanding experts in operator theory took part. The workshop honored Professor Emeritus Moshe Livsic on the occasion of his retirement. The volume contains a selection of papers covering a wide range of topics in modern operator theory and its applications, from abstract operator theory to system theory and computers in operator models. The papers treat linear and nonlinear problems, and study operators from different abstract and concrete classes. Many of the topics concern the area in which contributions of Moshe Livsic were extremely important. This book will appeal to a wide audience of pure and applied mathematicians and engineers.
Author : Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington
Publisher :
ISBN 13 : 9781107361515
Total Pages : 112 pages
Book Rating : 4.3/5 (615 download)
Download or read book An Introduction to Hankel Operators written by Reader in Functional Analysis and Systems Theory School of Mathematics Jonathan R Partington and published by . This book was released on 2014-05-14 with total page 112 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.
