Clifford Wavelets, Singular Integrals, and Hardy Spaces

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...

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Autore principale: Mitrea, Marius, 1964-...., mathématicien
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Serie:Lecture notes in mathematics 1575
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Edition sous un autre format:• Clifford wavelets, singular integrals, and Hardy spaces, Marius Mitrea, 1994, Berlin, Springer, 1 volume (XI-116 pages), Lecture notes in mathematics, 0-387-57884-6
• Clifford Wavelets, Singular Integrals, and Hardy Spaces, Texte imprimé, 9783662212936
Descrizione
Riassunto: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.
Descrizione del documento:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540483793 (PDF)
ISSN:1617-9692
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