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
Calzi, Mattia
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.File in questo prodotto:
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Bruno_Calzi_final_revision.pdf
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11384_78892.pdf
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