We establish explicit forms of Selberg trace formulae for heat and wave kernels of the Maass Laplacians D k on compact forms of the complex hyperbolic space H n (C), n 2. This was possible by establishing first an explicit general Selberg trace formula for automorphic kernels of weight k in H n (C)
Closed form formulae for the heat kernels and the Green functions for the Laplacians on the symmetric spaces of rank one
โ Scribed by Hiroyuki Matsumoto
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- French
- Weight
- 182 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0007-4497
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โฆ Synopsis
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.
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