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Clifford Wavelets, Singular Integrals, and Hardy Spaces : Lecture Notes in Mathematics - Marius Mitrea

Clifford Wavelets, Singular Integrals, and Hardy Spaces

Lecture Notes in Mathematics

Paperback Published: 28th April 1994
ISBN: 9783540578840
Number Of Pages: 124

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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.
It will also interest the specialists concerned with the applications of the Clifford algebra machinery to Mathematical Physics.

Clifford algebras.- Constructions of Clifford wavelets.- The L 2 Boundedness of Clifford algebra valued singular integral operators.- Hardy spaces of monogenic functions.- Applications to the theory of harmonic functions.

ISBN: 9783540578840
ISBN-10: 3540578846
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 124
Published: 28th April 1994
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.74
Weight (kg): 0.2