Asymptotics for the Heat Kernel on H-Type Groups
arXiv:1710.00198 · doi:10.1007/s10231-017-0713-9
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.
29 pages; submitted