Singular Integral Operators

Singular Integral Operators

Author: Solomon G. Mikhlin

Publisher: Springer Science & Business Media

ISBN: 3540159673

Category: Mathematics

Page: 528

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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
Language: en
Pages: 528
Authors: Solomon G. Mikhlin, Siegfried Prößdorf
Categories: Mathematics
Type: BOOK - Published: 1987 - Publisher: Springer Science & Business Media

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
Singular Integral Operators and Related Topics
Language: en
Pages: 316
Authors: A. Böttcher, I. Gohberg
Categories: Mathematics
Type: BOOK - Published: 1996-08-28 - Publisher: Springer Science & Business Media

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.
Lectures on Singular Integral Operators
Language: en
Pages: 132
Authors: Francis Michael Christ
Categories: Mathematics
Type: BOOK - Published: 1991-01-07 - Publisher: American Mathematical Soc.

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)
Systems, Approximation, Singular Integral Operators, and Related Topics
Language: en
Pages: 527
Authors: Alexander A. Borichev, Nikolai K. Nikolski
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Birkhäuser

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
Pseudodifferential and Singular Integral Operators
Language: en
Pages: 232
Authors: Helmut Abels
Categories: Mathematics
Type: BOOK - Published: 2012-01-01 - Publisher: Walter de Gruyter

This textbook provides a self-contained and elementary introduction to the modern theory of pseudodifferential operators and their applications to partial differential equations. It presents the necessary material on Fourier transformation and distribution theory, the basic calculus of pseudodifferential operators on the n-dimensional Euclidean space, an introduction to the theory of