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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Springer Basel : Imprint: Birkhäuser,
2013.
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| Edición: | 1st ed. 2013. |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- 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.