Eigenvalue Distribution Of Compact Operators
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Eigenvalue Distribution Of Compact Operators
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Author : H. König
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22
Eigenvalue Distribution Of Compact Operators written by H. König and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
Eigenvalue Distribution Of Compact Operators
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Author : Hermann König
language : en
Publisher:
Release Date : 1986
Eigenvalue Distribution Of Compact Operators written by Hermann König and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Distributions Sobolev Spaces Elliptic Equations
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Author : Dorothee Haroske
language : en
Publisher: European Mathematical Society
Release Date : 2007
Distributions Sobolev Spaces Elliptic Equations written by Dorothee Haroske and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
It is the main aim of this book to develop at an accessible, moderate level an $L_2$ theory for elliptic differential operators of second order on bounded smooth domains in Euclidean n-space, including a priori estimates for boundary-value problems in terms of (fractional) Sobolev spaces on domains and on their boundaries, together with a related spectral theory. The presentation is preceded by an introduction to the classical theory for the Laplace-Poisson equation, and some chapters provide required ingredients such as the theory of distributions, Sobolev spaces and the spectral theory in Hilbert spaces. The book grew out of two-semester courses the authors have given several times over a period of ten years at the Friedrich Schiller University of Jena. It is addressed to graduate students and mathematicians who have a working knowledge of calculus, measure theory and the basic elements of functional analysis (as usually covered by undergraduate courses) and who are seeking an accessible introduction to some aspects of the theory of function spaces and its applications to elliptic equations.
Traces And Determinants Of Linear Operators
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Author : Israel Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Traces And Determinants Of Linear Operators written by Israel Gohberg 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.
The authors initially planned to write an article describing the origins and devel opments of the theory of Fredholm operators and to present their recollections of this topic. We started to read again classical papers and we were sidetracked by the literature concerned with the theory and applications of traces and determi nants of infinite matrices and integral operators. We were especially impressed by the papers of Poincare, von Koch, Fredholm, Hilbert and Carleman, as well as F. Riesz's book on infinite systems of linear equations. Consequently our plans were changed and we decided to write a paper on the history of determinants of infi nite matrices and operators. During the preparation of our paper we realized that many mathematical questions had to be answered in order to gain a more com plete understanding of the subject. So, we changed our plans again and decided to present the subject in a more advanced form which would satisfy our new require ments. This whole process took between four and five years of challenging, but enjoyable work. This entailed the study of the appropriate relatively recent results of Grothendieck, Ruston, Pietsch, Hermann Konig and others. After the papers [GGK1] and [GGK2] were published, we saw that the written material could serve as the basis of a book.
Continuous And Discrete Fourier Transforms Extension Problems And Wiener Hopf Equations
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Continuous And Discrete Fourier Transforms Extension Problems And Wiener Hopf Equations written by I. Gohberg 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 Social Science categories.
One Dimensional Linear Singular Integral Equations
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Author : I. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
One Dimensional Linear Singular Integral Equations written by I. Gohberg 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 Social Science categories.
This book is an introduction to the theory of linear one-dimensional singular integral equations. It is essentually a graduate textbook. Singular integral equations have attracted more and more attention, because, on one hand, this class of equations appears in many applications and, on the other, it is one of a few classes of equations which can be solved in explicit form. In this book material of the monograph [2] of the authors on one-dimensional singular integral operators is widely used. This monograph appeared in 1973 in Russian and later in German translation [3]. In the final text version the authors included many addenda and changes which have in essence changed character, structure and contents of the book and have, in our opinion, made it more suitable for a wider range of readers. Only the case of singular integral operators with continuous coefficients on a closed contour is considered herein. The case of discontinuous coefficients and more general contours will be considered in the second volume. We are grateful to the editor Professor G. Heinig of the volume and to the translators Dr. B. Luderer and Dr. S. Roch, and to G. Lillack, who did the typing of the manuscript, for the work they have done on this volume.
Modern Mathematical Methods In Transport Theory
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Author : Greenberg
language : en
Publisher: Birkhäuser
Release Date : 2013-11-22
Modern Mathematical Methods In Transport Theory written by Greenberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-22 with Social Science categories.
The Eleventh International Transport Theory Conference and Symposium in honor of the sixty-fifth birthday of Kenneth Case and the sixtieth birthday of Paul Zweifel was held in Blacksburg, Virginia, during May 22-26, 1989, on the campus of Virginia Polytechnic Institute and State University (Virginia Tech). This volume consists of a selection of the invited papers delivered at the Conference, and represents a cross section of the research currently being carried out in the field of transport theory. The volume is divided into two sections. The Symposium lectures are intended each to summarize an important aspect of transport theory, as well as to present timely new results of the author's research interest. The Conference lectures are contributions of each author on his current research. As has been the custom in this series of conferences, each lecturer was invited to participate by the organizing committee of the Conference: W. Greenberg, Virginia Tech, chairman; V. Boffi, Universita di Firenze; N. Corngold, California Institute of Technology; B. Ganapol, University of Arizona; N. McCormick, University of Washington; P. Nelson, Texas Tech; G. Pomraning, University of California, Los Angeles. The Eleventh International Transport Theory Conference was funded by generous con tributions from Science Applications International Corporation, R. Beyster, president, and from Virginia Polytechnic Institute and State University. Conference participants, and, we believe, researchers in this and related areas, are indebted to these organizations. We would like to thank Lamberto Rondoni, in the graduate program at Virginia Tech, for proofreading manuscripts of all the Italian contributors.
Time Variant Systems And Interpolation
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Author : Israel Gohberg
language : en
Publisher: Springer Science & Business Media
Release Date : 1992
Time Variant Systems And Interpolation written by Israel Gohberg 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 1992 with Mathematics categories.
Six papers deal with interrelated problems of modern operator theory, complex analysis, and system theory at a level accessible to advanced mathematicians and engineers. They provide a cross-section of recent advances in the understanding of the theory of time-varying systems and time-varying of analogues of interpolation problems. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Orthonormal Systems And Banach Space Geometry
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Author : Albrecht Pietsch
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-10
Orthonormal Systems And Banach Space Geometry written by Albrecht Pietsch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-09-10 with Mathematics categories.
This book describes the interplay between orthonormal expansions and Banach space geometry.
Tensor Norms And Operator Ideals
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Author : A. Defant
language : en
Publisher: Elsevier
Release Date : 1992-11-26
Tensor Norms And Operator Ideals written by A. Defant and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-11-26 with Mathematics categories.
The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resumé and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.