arXiv:2107.11747 Abstract | arXiv Analytics

arXiv:2107.11747 [math.AP]Abstract References Reviews Resources

On the method of differentiation and its application to asymptotics for the heat kernel on H-type groups

Published 2021-07-25Version 1

The aim of this note is twofold. The first one is to find conditions on the asymptotic sequence which ensures differentiation of a general asymptotic expansion with respect to it. Our method results from the classical one but generalizes it. As an application, our second aim is to give sharp asymptotic estimates at infinity of the heat kernel on H-type groups by the method of differentiation provided we have the result of the isotropic Heisenberg groups.

Categories: math.AP

Keywords: h-type groups, heat kernel, application, isotropic heisenberg groups, sharp asymptotic estimates

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