Lecture Notes in Mathematics

Clifford Wavelets, Singular Integrals, and Hardy Spaces

Authors: Mitrea, Marius

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About this book

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.

Table of contents (5 chapters)

  • Clifford algebras

    Mitrea, Marius

    Pages 1-15

  • Constructions of Clifford wavelets

    Mitrea, Marius

    Pages 16-41

  • The L 2 Boundedness of Clifford algebra valued singular integral operators

    Mitrea, Marius

    Pages 42-59

  • Hardy spaces of monogenic functions

    Mitrea, Marius

    Pages 60-86

  • Applications to the theory of harmonic functions

    Mitrea, Marius

    Pages 87-105

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-48379-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.95
price for USA
  • ISBN 978-3-540-57884-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Clifford Wavelets, Singular Integrals, and Hardy Spaces
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1575
Copyright
1994
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48379-3
DOI
10.1007/BFb0073556
Softcover ISBN
978-3-540-57884-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
CXXXVI, 124
Topics