Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces

Details Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces

1998-04-23

arxiv.org/abs/math/9804115v1

Mathematics

Spectral Theory

11 pages, LaTeX file

Scientific paper

10.1088/0305-4470/32/31/303

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.

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