An Introduction To Singular Integrals

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An Introduction To Singular Integrals

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Author : Jacques Peyriere
language : en
Publisher: SIAM
Release Date : 2018-11-15

An Introduction To Singular Integrals written by Jacques Peyriere and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-15 with Mathematics categories.

In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the Hardy?Littlewood maximal operator, the Calder?n?Zygmund theory, the Littlewood?Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students. An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.

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.

Singular Integrals

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Author : Umberto Neri
language : en
Publisher:
Release Date : 1962

Singular Integrals written by Umberto Neri and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Integrals 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 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.

Singular Integrals

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Author : John Benedetto
language : en
Publisher:
Release Date : 1968

Singular Integrals written by John Benedetto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Harmonic analysis categories.

Interpolation Of Operators And Singular Integrals

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Author : Cora Sadosky
language : en
Publisher:
Release Date : 1995

Interpolation Of Operators And Singular Integrals written by Cora Sadosky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

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.

An Introduction To Singular Integrals

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Author : Jacques Peyrière
language : en
Publisher: SIAM
Release Date : 2018-11-15

An Introduction To Singular Integrals written by Jacques Peyrière and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-15 with Mathematics categories.

In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the Hardy–Littlewood maximal operator, the Calderón–Zygmund theory, the Littlewood–Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students. An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.

Interpolation Of Operators And Singular Integrals

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Author : Cora Sadosky
language : en
Publisher:
Release Date : 1995

Interpolation Of Operators And Singular Integrals written by Cora Sadosky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.

Singular Integrals

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Author : Alberto P. Calderón
language : en
Publisher:
Release Date : 1967

Singular Integrals written by Alberto P. Calderón and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.