Clifford algebras and Dirac operators in harmonic analysis / John E. Gilbert, Margaret A.M. Murray.
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. The...
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| Online Access: |
Full Text (via Cambridge) |
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| Other title: | Cambridge books online. |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge [England] ; New York :
Cambridge University Press,
1991.
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| Series: | Cambridge studies in advanced mathematics ;
26. |
| Subjects: |
| Summary: | 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. |
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| Physical Description: | 1 online resource (vi, 334 pages) |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 0511611587 9780511611582 0521071984 9780521071987 |
| DOI: | 10.1017/CBO9780511611582 |
| Language: | English. |