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Mathematics - Analysis | Clifford Wavelets, Singular Integrals, and Hardy Spaces

Clifford Wavelets, Singular Integrals, and Hardy Spaces

Series: Lecture Notes in Mathematics, Vol. 1575

Mitrea, Marius

1994, CXXXVI, 124 p.

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  • About this book

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.

Content Level » Research

Keywords » Clifford Algebras - Hardy Spaces - Singular Integrals - Singular integral - Wavelets - calculus

Related subjects » Analysis

Table of contents 

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.

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