Equivariant heat asymptotics on spaces of automorphic forms

Octavio Paniagua-Taboada; Pablo Ramacher

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arXiv · 1202.4709

Equivariant heat asymptotics on spaces of automorphic forms

Octavio Paniagua-Taboada·Pablo Ramacher

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Abstract

Let $G$ be a connected, real, semisimple Lie group with finite center, and $K$ a maximal compact subgroup of $G$. In this paper, we derive $K$-equivariant asymptotics for heat traces with remainder estimates on compact Riemannian manifolds carrying a transitive and isometric $G$-action. In particular, we compute the leading coefficient in the Minakshishundaram-Pleijel expansion of the heat trace for Bochner-Laplace operators on homogeneous vector bundles over compact locally symmetric spaces of arbitrary rank.

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BibTeX RIS

Octavio Paniagua-Taboada, Pablo Ramacher. 2012-02-21. Equivariant heat asymptotics on spaces of automorphic forms. https://arxiv.org/abs/1202.4709

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