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Factorization Of Matrix Functions And Singular Operators
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Book Synopsis Factorization of Matrix Functions and Singular Integral Operators by : Prof. Kevin F. Clancey
Download or read book Factorization of Matrix Functions and Singular Integral Operators written by Prof. Kevin F. Clancey and published by Birkhäuser. This book was released on 2013-11-21 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Singular Integral Operators by : Solomon G. Mikhlin
Download or read book Singular Integral Operators written by Solomon G. Mikhlin and published by Springer. This book was released on 1987-01-01 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Factorization of Matrix Functions and Singular Integral Operators by : Kevin Clancey
Download or read book Factorization of Matrix Functions and Singular Integral Operators written by Kevin Clancey and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Factorization of Measurable Matrix Functions by : G S I M Litvinchuk Spitkovskii
Download or read book Factorization of Measurable Matrix Functions written by G S I M Litvinchuk Spitkovskii and published by Mathematical Research. This book was released on 1987-12-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Factorization, Singular Operators and Related Problems by : Stefan Samko
Download or read book Factorization, Singular Operators and Related Problems written by Stefan Samko and published by Springer. This book was released on 2010-12-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Factorization of Matrix Functions and Singular Operators by : Kevin Clancey
Download or read book Factorization of Matrix Functions and Singular Operators written by Kevin Clancey and published by . This book was released on 1981 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Convolution Operators and Factorization of Almost Periodic Matrix Functions by : Albrecht Böttcher
Download or read book Convolution Operators and Factorization of Almost Periodic Matrix Functions written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2002-02 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to convolution operators with matrix-valued almost periodic or semi-almost periodic symbols. The basic tools for the treatment of the operators are Wiener-Hopf factorization and almost periodic factorization. These factorizations are systematically investigated and explicitly constructed for interesting concrete classes of matrix functions. The material covered by the book ranges from classical results through a first comprehensive presentation of the core of the theory of almost periodic factorization up to the latest achievements, such as the construction of factorizations by means of the Portuguese transformation and the solution of corona theorems. The book is addressed to a wide audience in the mathematical and engineering sciences. It is accessible to readers with basic knowledge in functional, real, complex, and harmonic analysis, and it is of interest to everyone who has to deal with the factorization of operators or matrix functions.
Book Synopsis Singular Integral Operators, Factorization and Applications by : Albrecht Böttcher
Download or read book Singular Integral Operators, Factorization and Applications written by Albrecht Böttcher and published by Springer Science & Business Media. This book was released on 2003-04-24 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary by : Raphael Kapanadze
Download or read book Factorization of matrix-functions and regularization of singular integral operators on manifolds with boundary written by Raphael Kapanadze and published by . This book was released on 1994 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Singular Integral Operators by : S. G. Mikhlin
Download or read book Singular Integral Operators written by S. G. Mikhlin and published by Walter de Gruyter GmbH & Co KG. This book was released on 1986-12-31 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Keine ausführliche Beschreibung für "Singular Integral Operators" verfügbar.
Book Synopsis Minimal Factorization of Matrix and Operator Functions by : BART
Download or read book Minimal Factorization of Matrix and Operator Functions written by BART and published by Birkhäuser. This book was released on 1979 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Matrix Functions And Matrix Equations by : Zhaojun Bai
Download or read book Matrix Functions And Matrix Equations written by Zhaojun Bai and published by World Scientific. This book was released on 2015-09-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed. This book covers materials relevant to advanced undergraduate and graduate courses in numerical linear algebra and scientific computing. It is also well-suited for self-study. The broad content makes it convenient as a general reference to the subjects.
Book Synopsis Singular Integral Operators and Related Topics by : A. Böttcher
Download or read book Singular Integral Operators and Related Topics written by A. Böttcher and published by Springer Science & Business Media. This book was released on 1996-08-28 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis A State Space Approach to Canonical Factorization with Applications by : Harm Bart
Download or read book A State Space Approach to Canonical Factorization with Applications written by Harm Bart and published by Springer Science & Business Media. This book was released on 2011-02-09 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book deals with canonical factorization of matrix and operator functions that appear in state space form or that can be transformed into such a form. A unified geometric approach is used. The main results are all expressed explicitly in terms of matrices or operators, which are parameters of the state space representation. The applications concern different classes of convolution equations. A large part the book deals with rational matrix functions only.
Book Synopsis Factorization and Integrable Systems by : Israel Gohberg
Download or read book Factorization and Integrable Systems written by Israel Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the specially prepared lecture notes of a a Summer School on "Factorization and Integrable Systems" held in September 2000 at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field.
Book Synopsis Operators and Function Theory by : S.C. Power
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 1985-04-30 with total page 408 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 :Nikolai Karapetiants Publisher :Springer Science & Business Media ISBN 13 :9780817641573 Total Pages :456 pages Book Rating :4.6/5 (415 download)
Book Synopsis Equations with Involutive Operators by : Nikolai Karapetiants
Download or read book Equations with Involutive Operators written by Nikolai Karapetiants and published by Springer Science & Business Media. This book was released on 2001-06-21 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained title demonstrates an important interplay between abstract and concrete operator theory. Key ideas are developed in a step-by-step approach, beginning with required background and historical material, and culminating in the final chapters with state-of-the-art topics. Good examples, bibliography and index make this text a valuable classroom or reference resource.
