Convolution Equations And Singular Integral Operators

Author : Leonid Lerer,Vadim Olshevsky,Leiba Rodman
Publisher : Birkhäuser
Page : 240 pages
File Size : 55,8 Mb
Release : 2011-04-08
Category : Mathematics
ISBN : 3764389575

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Convolution Equations and Singular Integral Operators by Leonid Lerer,Vadim Olshevsky,Leiba Rodman Pdf

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,Vadim Olshevsky,Leiba Rodman
Publisher : Birkhäuser
Page : 240 pages
File Size : 53,5 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 3764389559

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Convolution Equations and Singular Integral Operators by Leonid Lerer,Vadim Olshevsky,Leiba Rodman Pdf

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,Vadim Olshevsky,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 44,6 Mb
Release : 2011-02-03
Category : Mathematics
ISBN : 9783764389567

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Convolution Equations and Singular Integral Operators by Leonid Lerer,Vadim Olshevsky,Ilya M. Spitkovsky Pdf

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 : H. M. Srivastava,R. G. Buschman
Publisher : New York : Wiley
Page : 180 pages
File Size : 45,7 Mb
Release : 1977
Category : Convolutions (Mathematics).
ISBN : UCAL:B4407031

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Convolution Integral Equations, with Special Function Kernels by H. M. Srivastava,R. G. Buschman Pdf

Author : Victor Didenko,Bernd Silbermann
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 48,5 Mb
Release : 2008-09-19
Category : Mathematics
ISBN : 9783764387518

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Approximation of Additive Convolution-Like Operators by Victor Didenko,Bernd Silbermann Pdf

This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods. The book is self-contained and accessible to graduate students.

Author : Hari M. Srivastava,R.G. Buschman
Publisher : Springer Science & Business Media
Page : 259 pages
File Size : 55,6 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9789401580922

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Theory and Applications of Convolution Integral Equations by Hari M. Srivastava,R.G. Buschman Pdf

This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions. For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical. For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.

Author : Solomon G. Mikhlin,Siegfried Prößdorf
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 49,8 Mb
Release : 1987
Category : Mathematics
ISBN : 3540159673

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Singular Integral Operators by Solomon G. Mikhlin,Siegfried Prößdorf Pdf

The present edition differs from the original German one mainly in the following addi tional material: weighted norm inequalities for maximal functions and singular opera tors (§ 12, Chap. XI), polysingular integral operators and pseudo-differential operators (§§ 7, 8, Chap. XII), and spline approximation methods for solving singular integral equations (§ 4, Chap. XVII). Furthermore, we added two subsections on polynomial approximation methods for singular integral equations over an interval or with dis continuous coefficients (Nos. 3.6 and 3.7, Chap. XVII). In many places we incorporated new results which, in the vast majority, are from the last five years after publishing the German edition (note that the references are enlarged by about 150 new titles). S. G. Mikhlin wrote §§ 7, 8, Chap. XII, and the other additions were drawn up by S. Prossdorf. We wish to express our deepest gratitude to Dr. A. Bottcher and Dr. R. Lehmann who together translated the text into English carefully and with remarkable expertise.

Author : Roland Hagen,Steffen Roch,Bernd Silbermann
Publisher : Birkhäuser
Page : 388 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890670

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Spectral Theory of Approximation Methods for Convolution Equations by Roland Hagen,Steffen Roch,Bernd Silbermann Pdf

The aim of the present book is to propose a new algebraic approach to the study of norm stability of operator sequences which arise, for example, via discretization of singular integral equations on composed curves. A wide variety of discretization methods, including quadrature rules and spline or wavelet approximations, is covered and studied from a unique point of view. The approach takes advantage of the fruitful interplay between approximation theory, concrete operator theory, and local Banach algebra techniques. The book is addressed to a wide audience, in particular to mathematicians working in operator theory and Banach algebras as well as to applied mathematicians and engineers interested in theoretical foundations of various methods in general use, particularly splines and wavelets. The exposition contains numerous examples and exercises. Students will find a large number of suggestions for their own investigations.

Author : Ricardo Estrada,Ram P. Kanwal
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 48,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213826

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Singular Integral Equations by Ricardo Estrada,Ram P. Kanwal Pdf

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 : Viktor G. Kravchenko,Georgii S. Litvinchuk
Publisher : Springer Science & Business Media
Page : 288 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401111805

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Introduction to the Theory of Singular Integral Operators with Shift by Viktor G. Kravchenko,Georgii S. Litvinchuk Pdf

This book is devoted to the Fredholm theory of singular integral operators with shift in Lp, 1

Author : Umberto Neri
Publisher : Springer
Page : 279 pages
File Size : 53,6 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540368649

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Singular Integrals by Umberto Neri Pdf

Author : Albrecht Böttcher,Marinus A. Kaashoek,Amarino Brites Lebre,Antonio, F. dos Santos,Frank-Olme Speck
Publisher : Birkhäuser
Page : 393 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880077

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Singular Integral Operators, Factorization and Applications by Albrecht Böttcher,Marinus A. Kaashoek,Amarino Brites Lebre,Antonio, F. dos Santos,Frank-Olme Speck Pdf

This volume contains the proceedings of the International Workshop on Operator Theory and Applications held at the University of Algarve in Faro, Portugal, September 12-15, in the year 2000. The main topics of the conference were !> Factorization Theory; !> Factorization and Integrable Systems; !> Operator Theoretical Methods in Diffraction Theory; !> Algebraic Techniques in Operator Theory; !> Applications to Mathematical Physics and Related Topics. A total of 94 colleagues from 21 countries participated in the conference. The major part of participants came from Portugal (32), Germany (17), Israel (6), Mexico (6), the Netherlands (5), USA (4) and Austria (4). The others were from Ukraine, Venezuela (3 each), Spain, Sweden (2 each), Algeria, Australia, Belorussia, France, Georgia, Italy, Japan, Kuwait, Russia and Turkey (one of each country). It was the 12th meeting in the framework of the IWOTA conferences which started in 1981 on an initiative of Professors 1. Gohberg (Tel Aviv) and J. W. Helton (San Diego). Up to now, it was the largest conference in the field of Operator Theory in Portugal.

Author : A. Böttcher,I. Gohberg
Publisher : Birkhäuser
Page : 325 pages
File Size : 40,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890403

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Singular Integral Operators and Related Topics by A. Böttcher,I. Gohberg Pdf

This volume contains a selection of papers on modern operator theory and its applications, arising from a joint workshop on linear one-dimensional singular integral equations. The book is of interest to a wide audience in the mathematical and engineering sciences.

Author : Victor Didenko
Publisher : Unknown
Page : 400 pages
File Size : 41,5 Mb
Release : 2008
Category : Electronic book
ISBN : OCLC:1066656439

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Approximation of Additive Convolution-Like Operators by Victor Didenko Pdf

Annotation This book deals with numerical analysis for certain classes of additive operators and related equations, including singular integral operators with conjugation, the Riemann-Hilbert problem, Mellin operators with conjugation, double layer potential equation, and the Muskhelishvili equation. The authors propose a unified approach to the analysis of the approximation methods under consideration based on special real extensions of complex C*-algebras. The list of the methods considered includes spline Galerkin, spline collocation, qualocation, and quadrature methods. The book is self-contained and accessible to graduate students.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 43,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814475204

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Boundary Values and Convolution in Ultradistribution Spaces by Anonim Pdf