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Clifford Algebras and Dirac Operators in Harmonic Analysis

Clifford Algebras and Dirac Operators in Harmonic Analysis

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 26

AlgebraGeneral Mathematics

ISBN10: 0521071984
ISBN13: 9780521071987
Publisher: Cambridge University Press
Published: Aug 14 2008
Pages: 344
Weight: 1.11
Height: 0.77 Width: 6.00 Depth: 9.00
Language: English
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.

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