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

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【作者】 朱赋鎏; 杨乔华;

【Author】 Zhu Fuliu School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China Yang Qiaohua Wuhan Institute of Physics and Mathematics,The Chinese Academy of Sciences,Wuhan 430071,China

【机构】 School of Mathematics and Statistics Wuhan University; Wuhan Institute of Physics and Mathematics; The Chinese Academy of Sciences; Wuhan 430072; China; Wuhan 430071;

【摘要】 <正>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.

【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.

【基金】 supported by National Science Foundation of China (10571044)
  • 【文献出处】 Acta Mathematica Scientia ,数学物理学报(英文版) , 编辑部邮箱 ,2008年01期
  • 【分类号】O152
  • 【下载频次】40
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