Singular Integral Operators


Singular Integral Operators
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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.



Singular Integral Operators


Singular Integral Operators
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Author : S. G. Mikhlin
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 1986-12-31

Singular Integral Operators written by S. G. Mikhlin 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 1986-12-31 with Mathematics categories.


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Systems Approximation Singular Integral Operators And Related Topics


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

Systems Approximation Singular Integral Operators And Related Topics written by Alexander A. Borichev 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 Computers categories.


This book is devoted to some topical problems and applications of operator theory and its interplay with modern complex analysis. It consists of 20 selected survey papers that represent updated (mainly plenary) addresses to the IWOTA 2000 conference held at Bordeaux from June 13 to 16, 2000. The main subjects of the volume include: - spectral analysis of periodic differential operators and delay equations, stabilizing controllers, Fourier multipliers; - multivariable operator theory, model theory, commutant lifting theorems, coisometric realizations; - Hankel operators and forms; - operator algebras; - the Bellman function approach in singular integrals and harmonic analysis, singular integral operators and integral representations; - approximation in holomorphic spaces. These subjects are unified by the common "operator theoretic approach" and the systematic use of modern function theory techniques.



Singular Integral Operators


Singular Integral Operators
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Author : Solomon Grigor鈋vich Mikhlin
language : en
Publisher:
Release Date : 1989

Singular Integral Operators written by Solomon Grigor鈋vich Mikhlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Integral equations categories.




Pseudodifferential And Singular Integral Operators


Pseudodifferential And Singular Integral Operators
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Author : Helmut Abels
language : en
Publisher: Walter de Gruyter
Release Date : 2011-12-23

Pseudodifferential And Singular Integral Operators written by Helmut Abels and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-23 with Mathematics categories.


This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. In the first chapters, the necessary material on Fourier transformation and distribution theory is presented. Subsequently the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space is developed. In order to present the deep results on regularity questions for partial differential equations, an introduction to the theory of singular integral operators is given - which is of interest for its own. Moreover, to get a wide range of applications, one chapter is devoted to the modern theory of Besov and Bessel potential spaces. In order to demonstrate some fundamental approaches and the power of the theory, several applications to wellposedness and regularity question for elliptic and parabolic equations are presented throughout the book. The basic notation of functional analysis needed in the book is introduced and summarized in the appendix. The text is comprehensible for students of mathematics and physics with a basic education in analysis.



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 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.



Introduction To The Theory Of Singular Integral Operators With Shift


Introduction To The Theory Of Singular Integral Operators With Shift
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Author : Viktor G. Kravchenko
language : en
Publisher:
Release Date : 2014-01-15

Introduction To The Theory Of Singular Integral Operators With Shift written by Viktor G. Kravchenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




Singular Integrals And Related Topics


Singular Integrals And Related Topics
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Author : Shanzhen Lu
language : en
Publisher: World Scientific
Release Date : 2007

Singular Integrals And Related Topics written by Shanzhen Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.


This book introduces some important progress in the theory of Calderon-Zygmund singular integrals, oscillatory singular integrals, and Littlewood-Paley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers.



Singular Integrals


Singular Integrals
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Author : Umberto Neri
language : en
Publisher: Springer
Release Date : 2006-11-14

Singular Integrals written by Umberto Neri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.




Lectures On Singular Integral Operators


Lectures On Singular Integral Operators
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Author : Francis Michael Christ
language : en
Publisher: American Mathematical Soc.
Release Date : 1991-01-07

Lectures On Singular Integral Operators written by Francis Michael Christ and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-07 with Mathematics categories.


This book represents an expanded account of lectures delivered at the NSF-CBMS Regional Conference on Singular Integral Operators, held at the University of Montana in the summer of 1989. The lectures are concerned principally with developments in the subject related to the Cauchy integral on Lipschitz curves and the T(1) theorem. The emphasis is on real-variable techniques, with a discussion of analytic capacity in one complex variable included as an application. The author has presented here a synthesized exposition of a body of results and techniques. Much of the book is introductory in character and intended to be accessible to the nonexpert, but a variety of readers should find the book useful.