Clifford Algebras and Dirac Operators in Harmonic Analysis

Cambridge Studies in Advanced Mathematics #26

by John E. Gilbert, Margaret A.M. Murray

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.

344 pages, Hardcover

First published July 26, 1991