Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)
Language: English
Published by Springer, 2009
- Hardcover
- New
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In English.
Seller Inventory # ria9781848825321_new
- Title
- Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Springer Monographs in Mathematics)
- Author
- Volchkov, Valery V.; Volchkov, Vitaly V.
- Publisher
- Springer
- Publication year
- 2009
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 1848825323
- ISBN 13
- 9781848825321
- Item weight
- 1,248 grams
- Series
- Book 64 of 187: Springer Monographs in Mathematics
"Synopsis" may belong to another edition of this title.
From the Back Cover
This book presents the first systematic and unified treatment of the theory of mean periodic functions on homogeneous spaces. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to harmonic analysis, complex analysis, integral geometry, and analysis on symmetric spaces.
The main purpose of this book is the study of local aspects of spectral analysis and spectral synthesis on Euclidean spaces, Riemannian symmetric spaces of an arbitrary rank and Heisenberg groups. The subject can be viewed as arising from three classical topics: John's support theorem, Schwartz's fundamental principle, and Delsarte's two-radii theorem.
Highly topical, the book contains most of the significant recent results in this area with complete and detailed proofs. In order to make this book accessible to a wide audience, the authors have included an introductory section that develops analysis on symmetric spaces without the use of Lie theory. Challenging open problems are described and explained, and promising new research directions are indicated.
Designed for both experts and beginners in the field, the book is rich in methods for a wide variety of problems in many areas of mathematics.
"About the title" may belong to another edition of this title.
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