Asymptotics for the heat kernel on H-type groups

作者：Bruno Tommaso^*; Calzi Mattia

来源：Annali di Matematica Pura ed Applicata, 2018, 197(4): 1017-1049.

DOI：10.1007/s10231-017-0713-9

• Heat kernel
• H-type groups
• Asymptotic estimates
• Ornstein-Uhlenbeck

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.

• 出版日期2018-8