Clifford Wavelets, Singular Integrals, and Hardy Spaces

1994
ISBN: 978-3-540-57884-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1575, 124 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 219 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Mitrea, Marius

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.