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Clifford Wavelets, Singular Integrals, and Hardy Spaces

  • Book
  • © 1994

Overview

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

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Table of contents (5 chapters)

Keywords

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.

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

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