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 by using irreducible unitary representations of and the heat kernel for the associated Hermite operator.