On the inverse Abel transforms for certain Riemannian symmetric spaces of rank 2
β Scribed by Fuliu Zhu
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 750 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
In this paper we investigate L 2 boundedness properties of the Poisson transform associated to a symmetric space of real rank one and prove a related Planchereltype theorem.
Consider natural representations of the pseudounitary group U( p, q) in the space of holomorphic functions on the Cartan domain (Hermitian symmetric space) U( p, q)Γ(U( p)\_U(q)). Berezin representations of O( p, q) are the restrictions of such representations to the subgroup O( p, q). We obtain the
We give two equivalent analytic continuations of the MinakshisundaramαPleijel Ε½ . zeta function z for a Riemannian symmetric space of the compact type of U r K rank one UrK. First we prove that can be written as Ε½ . function for GrK the noncompact symmetric space dual to UrK , and F z is an Ε½ Ε½ . .
We show some integral representations of the heat kernels and explicit expressions of the Green functions for the Laplace-Beltrami operators on three series of hyperbolic spaces.