数学物理学报(英文版)

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

朱赋鎏; 杨乔华   

  1. 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   

  1. 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:

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