Clifford Algebras and Dirac Operators in Harmonic Analysis

Klappentext The aim of this book is to unite the seemingly disparate topics of Clifford algebras! analysis on manifolds and harmonic analysis. Zusammenfassung The authors' aim in this book is to unite the seemingly disparate topics of Clifford algebras! analysis on manifolds and harmonic analysis. They show how algebra! geometry and differential equations all play a more fundamental role in Euclidean Fourier analysis. Inhaltsverzeichnis 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.

Produktdetails

• Autoren: J. Gilbert, J. (University of Texas Gilbert, J. Murray Gilbert, John E. Gilbert, M. Murray
• Verlag: Cambridge University Press ELT
• Sprache: Englisch
• Produktform: Taschenbuch
• Erschienen: 14.08.2008
• EAN: 9780521071987
• ISBN: 978-0-521-07198-7
• Seiten: 344
• Serie: Cambridge Studies in Advanced
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Arithmetik, Algebra