Equivariant heat asymptotics on spaces of automorphic forms (Q2790598)
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scientific article; zbMATH DE number 6551068
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Equivariant heat asymptotics on spaces of automorphic forms |
scientific article; zbMATH DE number 6551068 |
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Equivariant heat asymptotics on spaces of automorphic forms (English)
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7 March 2016
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equivariant singular asymptotics
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Heat trace
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Pseudodifferential operators
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Locally symmetric spaces
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Minakshisundaram-Pleijel expansion
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Given a connected, real semisimple Lie group \(G\) with finite center, let \(K\) be a compact subgroup of \(G.\) The authors obtain \(K\)-equivariant asymptotics for heat traces with remainder estimates on compact Riemannian manifolds carrying a transitive \(G\)-action. In particular, in the case of the maximal compact subgroup \(K\), the leading coefficients are recovered in the Minakshisundaram-Pleijel expansion [\textit{S. Minakshisundaram} and \textit{Å. Pleijel}, Can. J. Math. 1, 242--256 (1949; Zbl 0041.42701)] of the \(K\)-equivariant heat trace of the Laplace-Beltrami operator on spaces of automorphic forms for arbitrary rank.
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