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Clifford Algebras and Dirac Operators in Harmonic Analysis

✍ Scribed by J. Gilbert, M. Murray


Publisher
Cambridge University Press
Year
1991
Tongue
English
Leaves
173
Series
Cambridge studies in advanced mathematics 26
Category
Library

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✦ Synopsis


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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