Asymptotics for the heat kernel on H-type groups

被引：0
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
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2018年 / 197卷
关键词：
Heat kernel; H-type groups; Asymptotic estimates; Ornstein–Uhlenbeck; 41A60; 35K08; 35R03; 47A10;
D O I：
暂无
中图分类号：
学科分类号：
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.
引用
收藏
页码：1017 / 1049
页数：32
相关论文
共 29 条
  • [1] Baudoin F(2008)Ornstein–Uhlenbeck processes on Lie groups J. Funct. Anal. 255 877-890
  • [2] Hairer M(2000)Hamilton–Jacobi theory and the heat kernel on Heisenberg groups J. Math. Pures Appl. 79 633-689
  • [3] Teichmann J(2008)Spectral multipliers for Laplacians associated with some Dirichlet forms Proc. Edinb. Math. Soc. 51 581-607
  • [4] Beals R(1943)Gruppentheoretischer Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen Comment. Math. Helv. 15 35-366
  • [5] Gaveau B(2009)Precise estimates for the subelliptic heat kernel on H-type groups J. Math. Pures Appl. 92 52-85
  • [6] Greiner PC(1977)Principe de moindre action, propagation de la chaleur et estimées sous elliptiques sur certains groupes nilpotents Acta Math. 139 95-153
  • [7] Carbonaro A(1989)Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary Math. Ann. 283 97-119
  • [8] Mauceri G(1976)The distribution of energy in the Brownian motion in Gaussian field and analytic hypoellipticity of certain sub elliptic operators on the Heisenberg group Studia Math. 56 165-173
  • [9] Meda S(2012)Spectral inequalities for operators on H-type groups J. Spectr. Theory 2 79-105
  • [10] Eckmann B(2004)Characterisation of the sub-Riemannian isometry groups of H-type groups Bull. Aust. Math. Soc. 70 87-100
123