Asymptotics for the Heat Kernel on H-Type Groups
Classical Analysis and ODEs
2022-05-11 v1 Functional Analysis
Spectral Theory
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.
Cite
@article{arxiv.1710.00198,
title = {Asymptotics for the Heat Kernel on H-Type Groups},
author = {Tommaso Bruno and Mattia Calzi},
journal= {arXiv preprint arXiv:1710.00198},
year = {2022}
}
Comments
29 pages; submitted