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

A HEAT KERNEL VERSION OF HARDY’S THEOREM FOR THE LAGUERRE HYPERGROUP
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摘要 In this article, we prove a heat kernel version of Hardy's theorem for the Laguerre hypergroup. In this article, we prove a heat kernel version of Hardy's theorem for the Laguerre hypergroup.
机构地区 LMAM CEMA
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第2期451-458,共8页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China (11001002, 10926061) the Beijing Foundation Program (201010009009, 2010D005002000002) supported by National Natural Science Foundation of China (10871003, 10990012) the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040)
关键词 Laguerre hypergroup uncertainty principle Hardy's theorem Laguerre hypergroup uncertainty principle Hardy's theorem
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参考文献13

  • 1Bloom W R, Heyer H. Harmonic analysis of probability measures on hypergroups, de Gruyter Studies in Mathematics 20, de Gruyter, Berlin/New York, 1994.
  • 2Bouattour L, Trimc he K. Beurling-Hǒmander's theorem for the Chèbli-Trimèche transform. Global J PureAppl Math (to appear).
  • 3Erdé1yi A, Magnus W, Oberhettinger F, Tricomi F G. Tables of integral transforms. Vol. II. New York: McGraw-Hill, 1954.
  • 4Hardy G H. A theorem concerning Fourier transforms. J London Math Soc, 1933, 8:227-231.
  • 5Huang J, Liu H. The weak type (1, 1) estimates of maximal functions on the Laguerre hypergroup. Can Math Bull, 2010, 53:491-502.
  • 6Jewett R I. Spaces with an abstract converlution of measures. Adv Math, 1975, 18:1-101.
  • 7Nessibi M M, Trimèche K. Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets. J Math Anal Appl, 1997, 208:337-363.
  • 8Stempak K. An algebra associated with the generalized sublaplacian. Studia Math, 1988, 88:245-256.
  • 9Szegǒ G. Orthogonal polynomials. Amer Math Soc Colloq Publ, Providence, RI, 1967.
  • 10Thangavelu S. Revisiting Hardy's theorem for the Heisenberg group. Math Z, 2002, 242:761-779.

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