Wavelets and Singular Integrals on Curves and Surfaces: 1465 (Lecture Notes in Mathematics, 1465) - Softcover

David, Guy

Softcover

ISBN 10: 3540539026 ISBN 13: 9783540539025

Publisher: Springer, 1991

Synopsis

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.

About this title

Synopsis

Wavelets are a recently developed tool for the analysis and synthesis of functions. This text begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. The second section of the book focuses on a criterion for the L2-boundedness of singular integral operators, known as the T(b) theorem. The book concludes with a survey of recent attempts to understand the geometry of subsets of Rn, in which analogues of the Cauchy kernel define bounded operators.

Edition details

• Publisher: Springer
• Publication date: 1991
• Language: English
• ISBN 10: 3540539026
• ISBN 13: 9783540539025
• Binding: Paperback
• Number of pages: 120