The c-function for non-compactly causal symmetric spaces
✍ Scribed by Bernhard Krötz; Gestur Ólafsson
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 146 KB
- Volume
- 149
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
We determine integral formulas for the meromorphic extension in the \*-parameter of the spherical functions . \* on a noncompactly causal symmetric space. The main tool is Bernstein's theorem on the meromorphic extension of complex powers of polynomials. The regularity properties of . \* are deduced
We give two equivalent analytic continuations of the Minakshisundaram᎐Pleijel Ž . 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 Ž . function for GrK the noncompact symmetric space dual to UrK , and F z is an Ž Ž . .