E-book
Offbeat Integral Geometry on Symmetric Spaces
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- ISBN: 9783034805728
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Physical Description:
electronic
electronic resource
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X, 592 p. online resource. - Publisher: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
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Electronic resources
Preface | ||
| Part 1. Analysis on Symmetric Spaces. 1 Preliminaries | ||
| 2 The Euclidean case | ||
| 3 Symmetric spaces of the non-compact type.-4 Analogies for compact two-point homogeneous Spaces | ||
| 5 The phase space associated to the Heisenberg group.-Part 2. Offbeat Integral Geometry | ||
| 1 Functions with zero ball means on Euclidean space | ||
| 2 Two-radii theorems in symmetric spaces | ||
| 3 The problem of finding a function from its ball means | ||
| 4 Sets with the Pompeiu property | ||
| 5 Functions with zero integrals over polytopes.-6 Ellipsoidal means | ||
| 7 The Pompeiu property on a sphere | ||
| 8 The Pompeiu transform on symmetric spaces and groups.-9 Pompeiu transforms on manifolds | ||
| Bibliography | ||
| Index | ||
| Basic notation.. |
