Toeplitz Matrices And Singular Integral Equations

Author : Albrecht Böttcher
Publisher : Birkhäuser
ISBN 13 : 3034881991
Total Pages : 327 pages
Book Rating : 4.99/5 ( download)

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Download or read book Toeplitz Matrices and Singular Integral Equations written by Albrecht Böttcher and published by Birkhäuser. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to Bernd Silbermann on his sixtieth birthday, collects research articles on Toeplitz matrices and singular integral equations written by leading area experts. The subjects of the contributions include Banach algebraic methods, Toeplitz determinants and random matrix theory, Fredholm theory and numerical analysis for singular integral equations, and efficient algorithms for linear systems with structured matrices, and reflect Bernd Silbermann's broad spectrum of research interests. The volume also contains a biographical essay and a list of publications. The book is addressed to a wide audience in the mathematical and engineering sciences. The articles are carefully written and are accessible to motivated readers with basic knowledge in functional analysis and operator theory.

Author : Bernd Silbermann
Publisher : Birkhauser
ISBN 13 : 9780817668778
Total Pages : 328 pages
Book Rating : 4.72/5 ( download)

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Download or read book Toeplitz Matrices and Singular Integral Equations written by Bernd Silbermann and published by Birkhauser. This book was released on 2002-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nikolaï Nikolski
Publisher : Cambridge University Press
ISBN 13 : 110719850X
Total Pages : 453 pages
Book Rating : 4.00/5 ( download)

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Download or read book Toeplitz Matrices and Operators written by Nikolaï Nikolski and published by Cambridge University Press. This book was released on 2020-01-02 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

Author : S. N. Chandler-Wilde
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.33/5 ( download)

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Download or read book On the Application of a Generalisation of Toeplitz Matrices to the Numerical Solution of Weakly-singular Integral Equations written by S. N. Chandler-Wilde and published by . This book was released on 1987 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir Dybin
Publisher : Birkhäuser
ISBN 13 : 3034882130
Total Pages : 306 pages
Book Rating : 4.32/5 ( download)

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Download or read book Introduction to the Theory of Toeplitz Operators with Infinite Index written by Vladimir Dybin and published by Birkhäuser. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Leonid Lerer
Publisher : Springer Science & Business Media
ISBN 13 : 3764389567
Total Pages : 232 pages
Book Rating : 4.67/5 ( download)

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Download or read book Convolution Equations and Singular Integral Operators written by Leonid Lerer and published by Springer Science & Business Media. This book was released on 2011-02-03 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician.

Author : Leonid Lerer
Publisher : Birkhäuser
ISBN 13 : 9783764389574
Total Pages : 240 pages
Book Rating : 4.75/5 ( download)

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Download or read book Convolution Equations and Singular Integral Operators written by Leonid Lerer and published by Birkhäuser. This book was released on 2011-04-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician.

Author : Leonid Lerer
Publisher : Birkhäuser
ISBN 13 : 9783764389550
Total Pages : 240 pages
Book Rating : 4.59/5 ( download)

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Download or read book Convolution Equations and Singular Integral Operators written by Leonid Lerer and published by Birkhäuser. This book was released on 2010-05-27 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of translations into English of several pioneering papers in the areas of discrete and continuous convolution operators and on the theory of singular integral operators published originally in Russian. The papers were wr- ten more than thirty years ago, but time showed their importance and growing in?uence in pure and applied mathematics and engineering. The book is divided into two parts. The ?rst ?ve papers, written by I. Gohberg and G. Heinig, form the ?rst part. They are related to the inversion of ?nite block Toeplitz matrices and their continuous analogs (direct and inverse problems) and the theory of discrete and continuous resultants. The second part consists of eight papers by I. Gohberg and N. Krupnik. They are devoted to the theory of one dimensional singular integral operators with discontinuous co- cients on various spaces. Special attention is paid to localization theory, structure of the symbol, and equations with shifts. ThisbookgivesanEnglishspeakingreaderauniqueopportunitytogetfam- iarized with groundbreaking work on the theory of Toepliz matrices and singular integral operators which by now have become classical. In the process of the preparation of the book the translator and the editors took care of several misprints and unessential misstatements. The editors would like to thank the translator A. Karlovich for the thorough job he has done. Our work on this book was started when Israel Gohberg was still alive. We see this book as our tribute to a great mathematician.

Author : Ricardo Estrada
Publisher : Springer Science & Business Media
ISBN 13 : 1461213827
Total Pages : 433 pages
Book Rating : 4.26/5 ( download)

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Download or read book Singular Integral Equations written by Ricardo Estrada and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems that are usually solved by differential equation techniques can be solved more effectively by integral equation methods. This work focuses exclusively on singular integral equations and on the distributional solutions of these equations. A large number of beautiful mathematical concepts are required to find such solutions, which in tum, can be applied to a wide variety of scientific fields - potential theory, me chanics, fluid dynamics, scattering of acoustic, electromagnetic and earth quake waves, statistics, and population dynamics, to cite just several. An integral equation is said to be singular if the kernel is singular within the range of integration, or if one or both limits of integration are infinite. The singular integral equations that we have studied extensively in this book are of the following type. In these equations f (x) is a given function and g(y) is the unknown function. 1. The Abel equation x x) = l g (y) d 0

Author : G. Heinig
Publisher : Birkhäuser
ISBN 13 : 3034862415
Total Pages : 213 pages
Book Rating : 4.17/5 ( download)

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Download or read book Algebraic Methods for Toeplitz-like Matrices and Operators written by G. Heinig and published by Birkhäuser. This book was released on 2013-11-21 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: