Offbeat Integral Geometry on Symmetric Spaces

1. Preliminaries
Valery V. Volchkov, Vitaly V. Volchkov

2. The Euclidean Case
Valery V. Volchkov, Vitaly V. Volchkov

3. Symmetric Spaces of the Non-compact Type
Valery V. Volchkov, Vitaly V. Volchkov

4. Analogies for Compact Two-point Homogeneous Spaces
Valery V. Volchkov, Vitaly V. Volchkov

5. The Phase Space Associated to the Heisenberg Group
Valery V. Volchkov, Vitaly V. Volchkov

6. Functions with Zero Ball Means on Euclidean Space
Valery V. Volchkov, Vitaly V. Volchkov

7. Two-radii Theorems in Symmetric Spaces
Valery V. Volchkov, Vitaly V. Volchkov

8. The Problem of Findinga Function from Its Ball Means
Valery V. Volchkov, Vitaly V. Volchkov

9. Sets with the Pompeiu Property
Valery V. Volchkov, Vitaly V. Volchkov

10. Functions with Zero Integrals over Polytopes
Valery V. Volchkov, Vitaly V. Volchkov

11. Ellipsoidal Means
Valery V. Volchkov, Vitaly V. Volchkov

12. The Pompeiu Property on a Sphere
Valery V. Volchkov, Vitaly V. Volchkov

13. The Pompeiu Transform on Symmetric Spaces and Groups
Valery V. Volchkov, Vitaly V. Volchkov

14. Pompeiu Transforms on Manifolds
Valery V. Volchkov, Vitaly V. Volchkov

Avainsanat: Mathematics, Special Functions, Abstract Harmonic Analysis, Integral Transforms, Operational Calculus, Differential Geometry