Clifford Algebras and Dirac Operators in Harmonic Analysis
Seiten
2008
Cambridge University Press (Verlag)
978-0-521-07198-7 (ISBN)
Cambridge University Press (Verlag)
978-0-521-07198-7 (ISBN)
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.
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.
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.
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.
| Erscheint lt. Verlag | 14.8.2008 |
|---|---|
| Reihe/Serie | Cambridge Studies in Advanced Mathematics |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 510 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| ISBN-10 | 0-521-07198-4 / 0521071984 |
| ISBN-13 | 978-0-521-07198-7 / 9780521071987 |
| Zustand | Neuware |
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