Clifford algebras and dirac operators in harmonic analysis

By:

Gilbert, J

Contributor(s):

Murray, Margaret Anne Marie

Series: Cambridge studies in advanced mathematics ; 26Publication details: Cambridge University Press, 1991. Cambridge:Description: vi, 334 p. : ill. ; pb. ; 23 cmISBN:

9780521071987

Subject(s):

DDC classification:

512.57 GIL

Summary: 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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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.57 GIL (Browse shelf(Opens below))	1	Available		030074

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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