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Clifford Wavelets, Singular Integrals, and Hardy Spaces de Marius Mitrea

Clifford Wavelets, Singular Integrals, and Hardy Spaces: Lecture Notes in Mathematics, cartea 1575

Autor Marius Mitrea
en Limba Engleză Paperback – 28 apr 1994
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.
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Specificații

ISBN-13: 9783540578840
ISBN-10: 3540578846
Pagini: 136
Ilustrații: CXXXVI, 124 p.
Dimensiuni: 155 x 235 x 7 mm
Greutate: 0.2 kg
Ediția:1994
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.