数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 21-27.

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SU(n,l)/S(U(n) × U(1))上的中心极限定理

  

  1. 1. College of Science,Wv.han University of Science and Technology  2. Department of Mathematics,Huazhong University of Science and Technology  3. College of Mathematics and Information Science,Henan University 

  • 收稿日期:2005-10-28 出版日期:2008-03-30 发布日期:2023-10-12
  • 作者简介: LIAN Bao-sheng(1973-), male, native of Wuhan, Hubei, Ph.D., engages in theory and ap- plications of stochastic differential equations; HU Shi-geng(1946-), male, native of Wuhan, Hubei, a professor of Huazhong University of Science and Technology, engages in theory and applications of stochastic differential equations.
  • 基金资助:
     Supported by the National Natural Science Foundation of China(70271069)

The Central Limit Theorem on SU(n,1)/S(U(n)×U(1))

  • Received:2005-10-28 Online:2008-03-30 Published:2023-10-12
  • About author: LIAN Bao-sheng(1973-), male, native of Wuhan, Hubei, Ph.D., engages in theory and ap- plications of stochastic differential equations; HU Shi-geng(1946-), male, native of Wuhan, Hubei, a professor of Huazhong University of Science and Technology, engages in theory and applications of stochastic differential equations.
  • Supported by:
     Supported by the National Natural Science Foundation of China(70271069)
    Bi

摘要: Let G = SU(n,1), K = S(U(n)×U(1)),and for 1∈Z, let {η}1∈Z be a one- Dimensional K-type and let El be the line bundle over G/K associated to n. In this work we obtain a central limit theorem for the space El.

关键词: central limit theorem, spherical function, hypergeometric function

Key words: central limit theorem, spherical function, hypergeometric function

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