Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces

A. A. Bytsenko; F. L. Williams

doi:10.1088/0305-4470/32/31/303

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arXiv · math/9804115

Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces

A. A. Bytsenko·F. L. Williams

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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.

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BibTeX RIS

A. A. Bytsenko, F. L. Williams. 1998-04-23. Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces. https://doi.org/10.1088/0305-4470%2F32%2F31%2F303

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