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
Sommario:
  • 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.