Offbeat integral geometry on symmetric spaces
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 Heisenbe...
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| Главные авторы: | , |
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| Формат: | Livre papier |
| Язык: | Anglais |
| Опубликовано: |
Basel :
Birkhäuser
cop. 2013.
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| Предметы: | |
| Autres localisations: | Voir dans le Sudoc |
Оглавление:
- 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