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Clifford wavelets, singular integrals, and hardy spaces / / Marius Mitrea



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Autore: Mitrea Marius Visualizza persona
Titolo: Clifford wavelets, singular integrals, and hardy spaces / / Marius Mitrea Visualizza cluster
Pubblicazione: Berlin : , : Springer-Verlag, , [1994]
©1994
Edizione: 1st ed. 1994.
Descrizione fisica: 1 online resource (CXXXVI, 124 p.)
Disciplina: 512.57
Soggetto topico: Clifford algebras
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di contenuto: 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.
Sommario/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.
Titolo autorizzato: Clifford wavelets, singular integrals, and Hardy spaces  Visualizza cluster
ISBN: 3-540-48379-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 996466579003316
Lo trovi qui: Univ. di Salerno
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; Volume 1575.