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Clifford Algebras and Dirac Operators in Harmonic Analysis.
・ISBN 978-0-521-34654-2 hard GB£ 154.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-61158-2
| 著者・編者 | Gilbert, J. / Murray, M., |
|---|---|
| シリーズ | Cambridge Studies in Advanced Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1991 |
| ページ数 | 344 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10484＞ |
解説
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.