Clifford algebras and dirac operators in harmonic analysis
Series: Cambridge studies in advanced mathematics ; 26Publication details: Cambridge University Press, 1991. Cambridge:Description: vi, 334 p. : ill. ; pb. ; 23 cmISBN:- 9780521071987
- 512.57 GIL
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IIT Gandhinagar General Stacks | General | 512.57 GIL (Browse shelf(Opens below)) | 1 | Available | 030074 |
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512.55 PED C* algebras and their automorphism groups | 512.55 VAR Lie groups, Lie algebras, and their representations | 512.556 WIL Higher index theory | 512.57 GIL Clifford algebras and dirac operators in harmonic analysis | 512.57 POR Clifford algebras and the classical groups | 512.62 LEI Basic category theory | 512.62 RIE Category theory in context |
Includes bibliographical references (p. [321]-327) and index.
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.
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