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Nankai Institute of Mathematics, Tianjin, P.R. China

Wavelets and Singular Integrals on Curves and Surfaces

Authors: David, Guy

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About this book

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.

Table of contents (3 chapters)

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-46377-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-53902-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Wavelets and Singular Integrals on Curves and Surfaces
Authors
Series Title
Nankai Institute of Mathematics, Tianjin, P.R. China
Series Volume
1465
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46377-1
DOI
10.1007/BFb0091544
Softcover ISBN
978-3-540-53902-5
Edition Number
1
Number of Pages
X, 110
Topics