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The heat kernel on H-type groups
Authors:Qiaohua Yang   Fuliu Zhu
Affiliation:School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People's Republic of China ; School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, People's Republic of China
Abstract:
In this paper we present an explicit calculation of the heat kernel for the sub-Laplacian on an H-type group $ G$ by using irreducible unitary representations of $ G$ and the heat kernel for the associated Hermite operator.

Keywords:H-type groups   sub-Laplacian   heat kernel   Hermite operator
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