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  • Book
  • © 1994

Clifford Wavelets, Singular Integrals, and Hardy Spaces

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

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XI
  2. Clifford algebras

    • Marius Mitrea
    Pages 1-15
  3. Constructions of Clifford wavelets

    • Marius Mitrea
    Pages 16-41
  4. Hardy spaces of monogenic functions

    • Marius Mitrea
    Pages 60-86
  5. Back Matter

    Pages 106-120

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.

Keywords

  • Clifford Algebras
  • Hardy Spaces
  • Singular Integrals
  • Singular integral
  • Wavelets
  • calculus

Bibliographic Information

  • Book Title: Clifford Wavelets, Singular Integrals, and Hardy Spaces

  • Authors: Marius Mitrea

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0073556

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1994

  • Softcover ISBN: 978-3-540-57884-0Published: 28 April 1994

  • eBook ISBN: 978-3-540-48379-3Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CXXXVI, 124

  • Topics: Analysis

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions