Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces
Spectral Theory
2009-10-31 v1 High Energy Physics - Theory
Differential Geometry
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
Cite
@article{arxiv.math/9804115,
title = {Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces},
author = {A. A. Bytsenko and F. L. Williams},
journal= {arXiv preprint arXiv:math/9804115},
year = {2009}
}
Comments
11 pages, LaTeX file