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Clifford Algebras and Dirac Operators in Harmonic Analysis

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Clifford Algebras and Dirac Operators in Harmonic Analysis

Clifford Algebras and Dirac Operators in Harmonic Analysis

J. Gilbert, University of Texas, Austin
M. Murray, Virginia Polytechnic Institute and State University
March 2011
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9780511828621
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    Description

    The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds and harmonic analysis. The authors show how algebra, geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis than has been fully realized before. Their presentation of the Euclidean theory then links up naturally with the representation theory of semi-simple Lie groups. By keeping the treatment relatively simple, the book will be accessible to graduate students, yet the more advanced reader will also appreciate the wealth of results and insights made available here.

    Product details

    March 2011
    Adobe eBook Reader
    9780511828621
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    Table of Contents

    • 1. Clifford algebras
    • 2. Dirac operators and Clifford analyticity
    • 3. Dirac operators and the spin group
    • 4. Dirac operators in the analysis on Euclidean space
    • 5. Dirac operators in representation theory
    • 6. Dirac operators in analysis.
      • Show more
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    About the authors
      Authors
    • J. Gilbert , University of Texas, Austin
    • M. Murray , Virginia Polytechnic Institute and State University

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