
Wavelets and Singular Integrals on Curves and Surfaces
Guy David(Author)
Springer (Publisher)
Published on 10. July 1991
Book
Paperback/Softback
X, 110 pages
978-3-540-53902-5 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 1991. Corr. 2nd printing 1992
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 110 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 7 mm
Weight
195 gr
ISBN-13
978-3-540-53902-5 (9783540539025)
DOI
10.1007/BFb0091544
Schweitzer Classification
Content
Wavelets.- Singular integral operators.- Singular integrals on curves and surfaces.