Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces
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 Ak(X)k=0∞ in the short-time asymptotic expansion of the heat kernel is calculated explicitly.
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