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Factorization Of Matrix Functions And Singular Integral Operators


Factorization Of Matrix Functions And Singular Integral Operators
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Factorization Of Matrix Functions And Singular Integral Operators


Factorization Of Matrix Functions And Singular Integral Operators
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Author : Kevin Clancey
language : en
Publisher:
Release Date : 1981

Factorization Of Matrix Functions And Singular Integral Operators written by Kevin Clancey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.




Factorization Of Matrix Functions And Singular Integral Operators


Factorization Of Matrix Functions And Singular Integral Operators
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Author : Prof. Kevin F. Clancey
language : en
Publisher: Birkhäuser
Release Date : 2013-11-21

Factorization Of Matrix Functions And Singular Integral Operators written by Prof. Kevin F. Clancey and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-21 with Social Science categories.


A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis appli cations to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a represen tative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connec tions are still not weIl understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan.



Singular Integral Operators Factorization And Applications


Singular Integral Operators Factorization And Applications
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Author : Albrecht Böttcher
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Singular Integral Operators Factorization And Applications written by Albrecht Böttcher 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 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.



Factorization Of Matrix Functions And Singular Integral Operators


Factorization Of Matrix Functions And Singular Integral Operators
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Author : Prof. Kevin F. Clancey
language : en
Publisher: Birkhäuser
Release Date : 2014-08-23

Factorization Of Matrix Functions And Singular Integral Operators written by Prof. Kevin F. Clancey and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-23 with Science categories.


A few years aga the authors started a project of a book on the theory of systems of one-dimensional singular integral equa tions which was planned as a continuation of the monograph by one of the authors and N. Ya. Krupnik ~~ concerning scalar equa tions. This set of notes was initiated as a chapter dealing with problems of factorization of matrix functions vis-a-vis appli cations to systems of singular integral equations. Working systematically onthischapter and adding along the way new points of view, new proofs and results, we finally saw that the material connected with factorizations is of independent interest and we decided to publish this chapter as aseparate volume. In fact, because of recent activity, the amount of material was quite large and we quickly learned that we cannot cover all of the results in complete detail. We have tried to include a represen tative variety of all kinds of methods, techniques,results and applications. Apart of the current work exposes results from the Russian literature which have never appeared in English translation. We have also decided to reflect some of the recent results which make interesting connections between factorization of matrix functions and systems theory. The field remains very active and many results and connec tions are still not weIl understood. These notes should be viewed as a stepping stone to further development. The authors hope that sometime they will return to complete their original plan.



Factorization Of Measurable Matrix Functions


Factorization Of Measurable Matrix Functions
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Author : G. S. Litvinchuk
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-01-19

Factorization Of Measurable Matrix Functions written by G. S. Litvinchuk and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-19 with Mathematics categories.


No detailed description available for "Factorization of Measurable Matrix Functions".



Singular Integral Operators And Related Topics


Singular Integral Operators And Related Topics
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Author : A. Böttcher
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Singular Integral Operators And Related Topics written by A. Böttcher 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 volume presents the proceedings of the Joint German-Israeli Workshop on linear one-dimensional singular integral equations, held in Tel Aviv from March 1–10, 1995. The volume contains a selection of papers in modern operator theory and its applications. The main topics of the workshop were symbol calculus, index formulas, projection and quadrature methods for Toeplitz and singular integral operators with different symbols, algebras generated by such operators and algebras generated by indempotents. The other topics discussed were inverse scattering problems for differential operators, distribution of zeros for orthogonal functions, factorization of matrix functions and calculation of norms. The book will be appreciated by a wide audience in the mathematical and engineering sciences.



Singular Integral Operators


Singular Integral Operators
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Author : Solomon G. Mikhlin
language : en
Publisher: Springer Science & Business Media
Release Date : 1987

Singular Integral Operators written by Solomon G. Mikhlin 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 1987 with Mathematics categories.


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.



Operator Theory Operator Algebras And Matrix Theory


Operator Theory Operator Algebras And Matrix Theory
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Author : Carlos André
language : en
Publisher: Birkhäuser
Release Date : 2018-08-22

Operator Theory Operator Algebras And Matrix Theory written by Carlos André and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-22 with Mathematics categories.


This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.



Factorization Of Matrix Functions And Regularization Of Singular Integral Operators On Manifolds With Boundary


Factorization Of Matrix Functions And Regularization Of Singular Integral Operators On Manifolds With Boundary
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Author : Raphael Kapanadze
language : en
Publisher:
Release Date : 1994

Factorization Of Matrix Functions And Regularization Of Singular Integral Operators On Manifolds With Boundary written by Raphael Kapanadze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.




Factorization Singular Operators And Related Problems


Factorization Singular Operators And Related Problems
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Author : Stefan Samko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Factorization Singular Operators And Related Problems written by Stefan Samko 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 2013-11-11 with Mathematics categories.


These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of th Madeira, Funchal, Portugal, to mark Professor Georgii Litvinchuk's 70 birth day. Experts in a variety of fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of vari ous areas of operator theory. The main themes of the conference were focussed around the theory of singular type operators and factorization problems, but other topics such as potential theory and fractional calculus, to name but a couple, were also presented. The goal of the conference was to bring together mathematicians from var ious fields within operator theory and function theory in order to highlight recent advances in problems many of which were originally studied by Profes sor Litvinchuk and his scientific school. A second aim was to stimulate in ternational collaboration even further and promote the interaction of different approaches in current research in these areas. The Proceedings will be of great interest to researchers in Operator The ory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and other areas, as well as to graduate students looking for the latest results.