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Cambridge Studies in Advanced Mathematics #26: Clifford Algebras and Dirac Operators in Harmonic Analysis

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Cambridge Studies in Advanced Mathematics #26: Clifford Algebras and Dirac Operators in Harmonic Analysis Cover

 

Synopses & Reviews

Publisher Comments:

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 play a more fundamental role in Euclidean Fourier analysis. They then link their presentation of the Euclidean theory naturally to the representation theory of semi-simple Lie groups.

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.

Product Details

ISBN:
9780521071987
Author:
Gilbert, J.
Publisher:
Cambridge University Press
Author:
Murray, M.
Author:
Gilbert, John E.
Location:
Cambridge
Subject:
Algebra - Linear
Subject:
Differential Equations
Subject:
Mathematics-Linear Algebra
Subject:
Mathematical Analysis
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
26
Publication Date:
20080831
Binding:
TRADE PAPER
Language:
English
Pages:
344
Dimensions:
5.98x9.01x.76 in. 1.11 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Topology

Cambridge Studies in Advanced Mathematics #26: Clifford Algebras and Dirac Operators in Harmonic Analysis New Trade Paper
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Product details 344 pages Cambridge University Press - English 9780521071987 Reviews:
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