Wavelets and Singular Integrals on Curves and Surfaces

Author: Guy David

Publisher: Springer

ISBN: 3540463771

Category: Mathematics

Page: 110

View: 6599

Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.

Multiskalen- und Wavelet-Matrixkompression

Analysisbasierte Methoden zur effizienten Lösung großer vollbesetzter Gleichungssysteme

Author: N.A

Publisher: Springer-Verlag

ISBN: 3663108511

Category: Technology & Engineering

Page: 246

View: 1670

Wavelets and singular integrals on curves and surfaces

Author: Guy David

Publisher: Springer Verlag

ISBN: 9783540539025

Category: Mathematics

Page: 107

View: 9626

Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.

Different Perspectives on Wavelets

Author: Ingrid Daubechies

Publisher: American Mathematical Soc.

ISBN: 1470429209

Category:

Page: 205

View: 573

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of ``building blocks'' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different ``sizes'' which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Lectures on Singular Integral Operators

Author: Francis Michael Christ

Publisher: American Mathematical Soc.

ISBN: 0821807285

Category: Mathematics

Page: 132

View: 9906

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.

Progress in Wavelet Analysis and Applications

Proceedings of the International Conference "Wavelets and Applications," Toulouse, France - June 1992

Author: Yves Meyer

Publisher: Atlantica Séguier Frontières

ISBN: 9782863321300

Category: Wavelets

Page: 785

View: 1263

Wavelet literature survey

Author: Stefan Pittner,Josef Schneid,Christoph W. Ueberhuber

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 304

View: 801

Wavelets

construction principles and applications to the numerical treatment of operator equations

Author: Stephan Dahlke

Publisher: N.A

ISBN: 9783826525490

Category: Mathematics

Page: 181

View: 3310

Harmonic Analysis

Proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March-July, 1988

Author: Min-Teh Cheng,Xing-Wei Zhou,Dong-Gao Deng

Publisher: Springer

ISBN: 3540464743

Category: Mathematics

Page: 234

View: 823

All papers in this volume are original (fully refereed) research reports by participants of the special program on Harmonic Analysis held in the Nankai Institute of Mathematics. The main themes include: Wavelets, Singular Integral Operators, Extemal Functions, H Spaces, Harmonic Analysis on Local Domains and Lie Groups, and so on. See also :G. David "Wavelets and Singular Integrals on Curves and Surfaces", LNM 1465,1991. FROM THE CONTENTS: D.C. Chang: Nankai Lecture in -Neumann Problem.- T.P. Chen, D.Z. Zhang: Oscillary Integral with Polynomial Phase.- D.G. Deng, Y.S. Han: On a Generalized Paraproduct Defined by Non-Convolution.- Y.S. Han: H Boundedness of Calderon-Zygmund Operators for Product Domains.- Z.X. Liu, S.Z. Lu: Applications of H|rmander Multiplier Theorem to Approximation in Real Hardy Spaces.- R.L. Long, F.S. Nie: Weighted Sobolev Inequality and Eigenvalue Estimates of Schr|dinger Operator.- A. McIntosh, Q. Tao: Convolution Singular Integral Operators on Lipschitz Curves.- Z.Y. Wen, L.M.Wu, Y.P. Zhang: Set of Zeros of Harmonic Functions of Two Variables.- C.K. Yuan: On the Structures of Locally Compact Groups Admitting Inner Invariant Means.

Partielle Differentialgleichungen der Geometrie und der Physik 2

Funktionalanalytische Lösungsmethoden

Author: Friedrich Sauvigny

Publisher: Springer-Verlag

ISBN: 3540275401

Category: Mathematics

Page: 350

View: 3210

Das zweibändige Lehrbuch behandelt das Gebiet der partiellen Differentialgleichungen umfassend und anschaulich. Der Autor stellt in Band 2 funktionalanalytische Lösungsmethoden vor und erläutert u. a. die Lösbarkeit von Operatorgleichungen im Banachraum, lineare Operatoren im Hilbertraum und Spektraltheorie, die Schaudersche Theorie linearer elliptischer Differentialgleichungen sowie schwache Lösungen elliptischer Differentialgleichungen.