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Clifford Wavelets, Singular Integrals, and Hardy Spaces

Clifford Wavelets, Singular Integrals, and Hardy Spaces

Paperback

Series: Lecture Notes in Mathematics, Book 1575

CalculusGeneral Mathematics

ISBN10: 3540578846
ISBN13: 9783540578840
Publisher: Springer Nature
Published: Apr 28 1994
Pages: 124
Weight: 0.44
Height: 0.29 Width: 6.14 Depth: 9.21
Language: English
The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework.
Topics covered: construction of Clifford-valued wavelets, Calderon-Zygmund theory for Clifford valued singular integral operators on Lipschitz hyper-surfaces, Hardy spaces of Clifford monogenic functions on Lipschitz domains. Results are applied to potential theory and elliptic boundary value problems on non-smooth domains. The book is self-contained to a large extent and well-suited for graduate students and researchers in the areas of wavelet theory, Harmonic and Clifford Analysis.

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Calculus