Asymptotics for the heat kernel on H-type groups

被引:0
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作者
Tommaso Bruno
Mattia Calzi
机构
[1] Università degli Studi di Genova,Dipartimento di Matematica
[2] Piazza dei Cavalieri,Scuola Normale Superiore
[3] 7,undefined
关键词
Heat kernel; H-type groups; Asymptotic estimates; Ornstein–Uhlenbeck; 41A60; 35K08; 35R03; 47A10;
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摘要
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.
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页码:1017 / 1049
页数:32
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