Introduction To The Theory Of Toeplitz Operators With Infinite Index

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Introduction To The Theory Of Toeplitz Operators With Infinite Index

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Author : Vladimir Dybin
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Introduction To The Theory Of Toeplitz Operators With Infinite Index written by Vladimir Dybin and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book is devoted to Toeplitz and singular integral operators with symbols that have discontinuities of the oscillating type. Criteria for the normal solvability of such operators are established and several methods for describing the kernel and image spaces of the operators are presented. The approach is based on the idea of modelling discontinuities with an "infinite index" by appropriate inner functions, especially by infinite Blaschke products. The corresponding techniques have been elaborated by the authors during the last two decades, and they are applicable to both symbols with slowly and rapidly increasing arguments. Moreover, the book reveals exciting connections between invariant subspaces of the shift operator, bases in Banach spaces, and various classes of entire and meromorphic functions. The book aims at making advanced topics accessible to a broad readership. It is addressed to graduate and postgraduate students and to mathematicians interested in functional analysis, the theory of functions of a complex variable, or mathematical physics.

Journal Of Analysis And Its Application

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Author :
language : en
Publisher:
Release Date : 2004

Journal Of Analysis And Its Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematical analysis categories.

Operator Theory Pseudo Differential Equations And Mathematical Physics

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Author : Yuri I. Karlovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-30

Operator Theory Pseudo Differential Equations And Mathematical Physics written by Yuri I. Karlovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-30 with Mathematics categories.

This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Revista Matem Tica Iberoamericana

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Author :
language : en
Publisher:
Release Date : 2004

Revista Matem Tica Iberoamericana written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Problems And Methods In Mathematical Physics

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Author : Johannes Elschner
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Problems And Methods In Mathematical Physics written by Johannes Elschner and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This volume presents the proceedings of the 11th Conference on Problems and Methods in Mathematical Physics (11th TMP), held in Chemnitz, March 25-28, 1999. The conference was dedicated to the memory of Siegfried Prössdorf, who made important contributions to the theory and numerical analysis of operator equations and their applications in mathematical physics and mechanics. The main part of the book comprises original research papers. The topics are ranging from integral and pseudodifferential equations, boundary value problems, operator theory, boundary element and wavelet methods, approximation theory and inverse problems to various concrete problems and applications in physics and engineering, and reflect Prössdorf's broad spectrum of research activities. The volume also contains articles describing the life and mathematical achievements of Siegfried Prössdorf and includes a list of his publications. The book is addressed to a wide audience in the mathematical and engineering sciences.

Operator Theory Systems Theory And Scattering Theory Multidimensional Generalizations

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Author : Daniel Alpay
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-22

Operator Theory Systems Theory And Scattering Theory Multidimensional Generalizations written by Daniel Alpay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-22 with Mathematics categories.

This volume contains a selection of papers, from experts in the area, on multidimensional operator theory. Topics considered include the non-commutative case, function theory in the polydisk, hyponormal operators, hyperanalytic functions, and holomorphic deformations of linear differential equations. Operator Theory, Systems Theory and Scattering Theory will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

Geometric Measure Theory And The Calculus Of Variations

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Author : William K. Allard
language : en
Publisher: American Mathematical Soc.
Release Date : 1986

Geometric Measure Theory And The Calculus Of Variations written by William K. Allard and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.

Includes twenty-six papers that survey a cross section of work in modern geometric measure theory and its applications in the calculus of variations. This title provides an access to the material, including introductions and summaries of many of the authors' much longer works and a section containing 80 open problems in the field.

Analele Tiin Ifice Ale Universitatii Al I Cuza Din Ia I Serie Nou

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Author : Universitatea "Al. I. Cuza" din Iași
language : en
Publisher:
Release Date : 2003

Analele Tiin Ifice Ale Universitatii Al I Cuza Din Ia I Serie Nou written by Universitatea "Al. I. Cuza" din Iași and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

Spectral Methods For Operators Of Mathematical Physics

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Author : Jan Janas
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Spectral Methods For Operators Of Mathematical Physics written by Jan Janas and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

This book presents recent results in the following areas: spectral analysis of one-dimensional Schrödinger and Jacobi operators, discrete WKB analysis of solutions of second order difference equations, and applications of functional models of non-selfadjoint operators. Several developments treated appear for the first time in a book. It is addressed to a wide group of specialists working in operator theory or mathematical physics.

Index Theory And Operator Algebras

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Author : Jeffrey Stephen Fox
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Index Theory And Operator Algebras written by Jeffrey Stephen Fox and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on $K$-Homology and Index Theory, held in August, 1991 at the University of Colorado at Boulder, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are two new proofs of the classical Atiyah-Singer Index Theorem, as well as index theorems for manifolds with boundary and open manifolds. Index theory for semi-simple $p$-adic groups and the geometry of discrete groups are also discussed. Throughout the book, the application of operator algebras emerges as a central theme. Aimed at graduate students and researchers, this book is suitable as a text for an advanced graduate course on index theory.