Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 451-458.doi: 10.1016/S0252-9602(11)60245-2

• Articles • Previous Articles     Next Articles

A HEAT KERNEL VERSION OF HARDY'S THEOREM FOR THE LAGUERRE HYPERGROUP

 HUANG Ji-Zheng, LIU He-Ping   

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China
  • Received:2008-06-12 Revised:2009-12-03 Online:2011-03-20 Published:2011-03-20
  • Supported by:

    The first author is supported by  National Natural Science Foundation of China (11001002, 10926061), the Beijing Foundation Program (201010009009, 2010D005002000002); the second author is supported by National Natural Science Foundation of China (10871003, 10990012) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040)

Abstract:

In this article, we prove a heat kernel version of Hardy's theorem for the Laguerre hypergroup.

Key words: Laguerre hypergroup, uncertainty principle, Hardy, s theorem

CLC Number: 

  • 42C15
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