Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
✍ Scribed by Robert S. Cahn; Joseph A. Wolf
- Book ID
- 112783588
- Publisher
- European Mathematical Society
- Year
- 1976
- Tongue
- English
- Weight
- 766 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0010-2571
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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 . .
Let M be a compact, connected, oriented Riemannian manifold. Hermite functions on M are defined in terms of the heat kernel, and the existence of an asymptotic expansion of these functions in powers of √ t is established for small time. In the case where M is a compact symmetric space, the asymptoti