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Clifford Algebras and Dirac Operators in Harmonic Analysis : Cambridge Greek and Latin Classics - J. Gilbert

Clifford Algebras and Dirac Operators in Harmonic Analysis

Cambridge Greek and Latin Classics

Hardcover Published: 15th February 2005
ISBN: 9780521346542
Number Of Pages: 344

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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 new results and insights made available here for the first time.

"All the topics covered in this book are worthwhile." John Ryan, Mathematical Reviews "...contains a more-than-ample allotment of ideas and techniques that should be of great interest to a wide variety of analysts. The material itself is an attractive blend of algebra, analysis, and geometry. It is not particularly easy, but on the other hand, it is not impossibly difficult; and serious readers of this book should find it highly rewarding." Ray A. Kunze, Bulletin of the American Mathematical Society

Clifford algebras
Dirac operators and Clifford analyticity
Dirac operators and the spin group
Dirac operators in the analysis on Euclidean space
Dirac operators in representation theory
Dirac operators in analysis
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521346542
ISBN-10: 0521346541
Series: Cambridge Greek and Latin Classics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 344
Published: 15th February 2005
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 2.39
Weight (kg): 0.68