| Offbeat Integral Geometry on Symmetric Spaces 2013 Edition Contributor(s): Volchkov, Valery V. (Author), Volchkov, Vitaly V. (Author) |
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ISBN: 3034805713 ISBN-13: 9783034805711 Publisher: Birkhauser OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: January 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Mathematical Analysis |
| Dewey: 516.362 |
| Physical Information: 1.5" H x 6.3" W x 9.1" (2.10 lbs) 592 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The book demonstrates the development of integral geometry on domains of homogeneous spaces since 1990. It covers a wide range of topics, including analysis on multidimensional Euclidean domains and Riemannian symmetric spaces of arbitrary ranks as well as recent work on phase space and the Heisenberg group. The book includes many significant recent results, some of them hitherto unpublished, among which can be pointed out uniqueness theorems for various classes of functions, far-reaching generalizations of the two-radii problem, the modern versions of the Pompeiu problem, and explicit reconstruction formulae in problems of integral geometry. These results are intriguing and useful in various fields of contemporary mathematics. The proofs given are "minimal" in the sense that they involve only those concepts and facts which are indispensable for the essence of the subject. Each chapter provides a historical perspective on the results presented and includes many interesting open problems. Readers will find this book relevant to harmonic analysis on homogeneous spaces, invariant spaces theory, integral transforms on symmetric spaces and the Heisenberg group, integral equations, special functions, and transmutation operators theory. |