Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces

Preprint

23 April 1998

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9804115

Abstract

We consider the heat kernel (and the zeta function) associated with Laplace type operators acting on a general irreducible rank 1 locally symmetric space X. The set of Minakshisundaram- Pleijel coefficients {A_k(X)}_{k=0}^{\infty} in the short-time asymptotic expansion of the heat kernel is calculated explicitly.

Keywords

CALCULATED EXPLICITLY
PLEIJEL COEFFICIENTS
LOCALLY SYMMETRIC
IRREDUCIBLE RANK
SYMMETRIC SPACE
TIME ASYMPTOTIC
KERNEL ON RANK
HEAT KERNEL

All Related Versions

Version 1, 1998-04-23, ArXiv
Published version: Journal of Physics A: General Physics, 32 (31), 5773.

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