We give sharp asymptotic estimates at infinity of all radial partial derivatives of the heat kernel on H-type groups. As an application, we give a new proof of the discreteness of the spectrum of some natural sub-Riemannian Ornstein–Uhlenbeck operators on these groups.
Asymptotics for the heat kernel on H-type groups / T. Bruno, M. Calzi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 197:4(2018 Aug), pp. 1017-1049. [10.1007/s10231-017-0713-9]
Asymptotics for the heat kernel on H-type groups
M. Calzi
2018
Abstract
We give sharp asymptotic estimates at infinity of all radial partial derivatives of the heat kernel on H-type groups. As an application, we give a new proof of the discreteness of the spectrum of some natural sub-Riemannian Ornstein–Uhlenbeck operators on these groups.
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