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...
Αποθηκεύτηκε σε:
| Κύριοι συγγραφείς: | , |
|---|---|
| Μορφή: | Livre numérique |
| Γλώσσα: | Anglais |
| Έκδοση: |
Basel :
Springer Basel
2013.
Cham : Springer Nature |
| Διαθέσιμο Online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Σημείωση: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Offbeat integral geometry on symmetric spaces, Valery V. Volchkov, Vitaly V. Volchkov, Basel, Birkhäuser, 2013, 1 vol. (X-592 p.), 978-3-0348-0571-1 |
Πίνακας περιεχομένων:
- 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