The book discusses the extensions of basic Fourier Analysis techniques to the Clifford algebra framework. <BR>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. <BR>It will also interest the specialists concerned with
the applications of the Clifford algebra machinery to Mathematical Physics.