Clifford Wavelets, Singular Integrals, and Hardy Spaces

  • Authors
  • Marius┬áMitrea
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1575)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Marius Mitrea
    Pages 1-15
  3. Marius Mitrea
    Pages 16-41
  4. Marius Mitrea
    Pages 60-86
  5. Back Matter
    Pages 106-120

About this book

Introduction

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.

Keywords

Clifford Algebras Hardy Spaces Singular Integrals Singular integral Wavelets calculus

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0073556
  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57884-0
  • Online ISBN 978-3-540-48379-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book