The heat kernel on H-type groups

Yang, Qiaohua; Zhu, Fuliu

doi:10.1090/S0002-9939-07-09257-X

The heat kernel on H-type groups
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by Qiaohua Yang and Fuliu Zhu

Proc. Amer. Math. Soc. 136 (2008), 1457-1464

DOI: https://doi.org/10.1090/S0002-9939-07-09257-X

Published electronically: December 21, 2007

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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.

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