Volchkov, Valery V.
Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
Part I. Symmetric Spaces. Harmonic Analysis on Spheres
1. General Considerations
Valery V. Volchkov, Vitaly V. Volchkov
2. Analogues of the Beltrami–Klein Model forRank One Symmetric Spaces ofNoncompactType
Valery V. Volchkov, Vitaly V. Volchkov
3. Realizations of Rank One Symmetric Spaces ofCompact Type
Valery V. Volchkov, Vitaly V. Volchkov
4. Realizations of the Irreducible Components ofthe Quasi-Regular Representation of Groups Transitive on Spheres. Invariant Subspaces
Valery V. Volchkov, Vitaly V. Volchkov
5. Non-Euclidean Analogues of Plane Waves
Valery V. Volchkov, Vitaly V. Volchkov
Part II. Transformations with Generalized Transmutation Property Associated with Eigenfunctions Expansions
6. Preliminaries
Valery V. Volchkov, Vitaly V. Volchkov
7. Some Special Functions
Valery V. Volchkov, Vitaly V. Volchkov
8. Exponential Expansions
Valery V. Volchkov, Vitaly V. Volchkov
9. Multidimensional Euclidean Case
Valery V. Volchkov, Vitaly V. Volchkov
10. The Case of Symmetric Spaces
Valery V. Volchkov, Vitaly V. Volchkov
11. The Case of Compact Symmetric Spaces
Valery V. Volchkov, Vitaly V. Volchkov
12. The Case of Phase Space
Valery V. Volchkov, Vitaly V. Volchkov
Part III. Mean Periodicity
13. Mean Periodic Functions on Subsets of the Real Line
Valery V. Volchkov, Vitaly V. Volchkov
14. Mean Periodic Functions on Multidimensional Domains
Valery V. Volchkov, Vitaly V. Volchkov
15. Mean Periodic Functions on
Valery V. Volchkov, Vitaly V. Volchkov
16. Mean Periodic Functions on Compact Symmetric Spaces of Rank One
Valery V. Volchkov, Vitaly V. Volchkov
17. Mean Periodicity on Phase Space andtheHeisenberg Group
Valery V. Volchkov, Vitaly V. Volchkov
Part IV. Local Aspects of Spectral Analysis and the Exponential Representation Problem
18. A New Look at the Schwartz Theory
Valery V. Volchkov, Vitaly V. Volchkov
19. Recent Developments in the Spectral Analysis Problem for Higher Dimensions
Valery V. Volchkov, Vitaly V. Volchkov
20. ℰ′
Valery V. Volchkov, Vitaly V. Volchkov
21. Spherical Spectral Analysis on Subsets ofCompact Symmetric Spaces
Valery V. Volchkov, Vitaly V. Volchkov
Avainsanat: Mathematics, Fourier Analysis, Integral Equations, Special Functions, Approximations and Expansions, Integral Transforms, Operational Calculus
- Tekijä(t)
- Volchkov, Valery V.
- Volchkov, Vitaly V.
- Julkaisija
- Springer
- Julkaisuvuosi
- 2009
- Kieli
- en
- Painos
- 1
- Sarja
- Springer Monographs in Mathematics
- Sivumäärä
- 2452 sivua
- Kategoria
- Eksaktit luonnontieteet
- Tiedostomuoto
- E-kirja
- eISBN (PDF)
- 9781848825338