  We derive a detailed asymptotic expansion of the heat trace for the
Laplace-Beltrami operator on functions on manifolds with conic singularities,
using the Singular Asymptotics Lemma of Jochen Bruening and Robert T. Seeley
[BS]. In the subsequent paper we investigate how the terms in the expansion
reflect the geometry of the manifold.

Spectral Theory;Analysis of PDEs;Differential Geometry