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

doi:10.1016/S0252-9602(08)60017-X

数学物理学报(英文版)

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

朱赋鎏; 杨乔华

武汉大学数学与统计学院, 武汉 430072

收稿日期:2005-10-10 修回日期:1900-01-01 出版日期:2008-01-20 发布日期:2008-01-20
通讯作者: 朱赋鎏
基金资助:
This work was supported by National Science Foundation of China (10571044)

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

Zhu Fuliu; Yang Qiaohua

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2005-10-10 Revised:1900-01-01 Online:2008-01-20 Published:2008-01-20
Contact: Zhu Fuliu

摘要/Abstract

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.

关键词: H-type groups, heat kernel, Hardy's uncertainty principle

Abstract:

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.

Key words: H-type groups, heat kernel, Hardy's uncertainty principle

中图分类号:

22E25

朱赋鎏; 杨乔华. HEAT KERNELS AND HARDY'S UNCERTAINTY PRINCIPLE ON H-TYPE GROUPS[J]. 数学物理学报(英文版), 2008, 28(1): 171-178.

Zhu Fuliu; Yang Qiaohua. HEAT KERNELS AND HARDY'S UNCERTAINTY PRINCIPLE ON H-TYPE GROUPS[J]. Acta mathematica scientia,Series B, 2008, 28(1): 171-178.

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

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

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