Acta mathematica scientia,Series B

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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

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

CLC Number: 

  • 22E25
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