J. Gilbert,
J. (University of Texas, Austin) Gilbert,
M. Murray,
M. (Virginia Polytechnic Institute and State University) Murray
e.a.
Clifford Algebras and Dirac Operators in Harmonic Analysis
Gebonden Engels 1991 9780521346542Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780521346542
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:344
Uitgever:Cambridge University Press
Serie:Cambridge Studies in
Lezersrecensies
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Inhoudsopgave
1. Clifford algebras; 2. Dirac operators and Clifford analyticity; 3. Dirac operators and the spin group; 4. Dirac operators in the analysis on Euclidean space; 5. Dirac operators in representation theory; 6. Dirac operators in analysis.
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