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arXiv · 2503.00554

Heat kernel, large-time behavior, and representation theory

Shu Shen·Yanli Song·Xiang Tang
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Abstract

Given a real reductive group $G$, the purpose of this paper is to show an asymptotic formula of the large-time behavior of the $G$-trace of the heat operator on the associated symmetric spaces. Together with Carmona's proof on Vogan's lambda map, our results provide a geometric counterpart of Vogan's minimal $K$-type theory.

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Shu Shen, Yanli Song, Xiang Tang. 2025-03-01. Heat kernel, large-time behavior, and representation theory. https://arxiv.org/abs/2503.00554

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