HEAT KERNELS AND HARDY’S UNCERTAINTY PRINCIPLE ON H-TYPE GROUPS

被引：0

作者：

朱赋鎏 ^{[1
]}

杨乔华 ^{[2
]}

机构：

[1] School of Mathematics and Statistics,Wuhan University

[2] Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences

来源：

Acta Mathematica Scientia | 2008年 / 01期

基金：

美国国家科学基金会;

关键词：

H-type groups; heat kernel; Hardy’s uncertainty principle;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

This article obtains an explicit expression of the heat kernels on H-type groups and then follow the estimate of heat kernels to deduce the Hardy’s uncertainty principle on the nilpotent Lie groups.

引用

页码：171 / 178

页数：8

共 18 条

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[9] Estimates for the heat kernel for a sum of squares of vector fields. Jerison D S,Sánchez-Calle A. Indiana University Mathematics Journal . 1986
[10] Nonlinear Liouville theorems for some critical problems on H-type groups. Bonfiglioli,A.,Uguzzoni,F. Journal of Functional Analysis . 2004

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