| The Bergman Kernels on W_Ⅲ |
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| 引用本文： | L U Ke-ping,ZHAO Xiao-xia1.College of Methematics and Information Science,Henan University,Kaifeng 475001,China, 2. Beijing Language and Culture University,Beijing 100083,China. The Bergman Kernels on W_Ⅲ[J]. 数学季刊, 2004, 19(1): 24-29 |
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| 作者姓名： | L U Ke-ping ZHAO Xiao-xia1.College of Methematics and Information Science Henan University Kaifeng 475001 China 2. Beijing Language and Culture University Beijing 100083 China |
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| 作者单位： | L U Ke-ping，ZHAO Xiao-xia1.College of Methematics and Information Science，Henan University，Kaifeng 475001，China; 2. Beijing Language and Culture University，Beijing 100083，China |
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| 基金项目： | Supported by the NNSF OF China(10271117) |
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| 摘 要： | In this paper, we compute the Bergman kernel function on WIII.and RIII(q) denote the Cartan domain of the third class. Because domain WIII is neither homogeneous domain nor Reinhardt domain, we will use a new way to solve this problem. First, we give a holomorphic automorphism group, such that for any Zo, there exists an element of this group, which maps (W, Zo) into (W,O). Second, introduce the concept of semi-Reinhardt and discuss the complete orthonormal system of this domain.
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| 关 键 词： | 函数 内核 清晰度 引理 |
The Bergman Kernels on WIII |
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| LUKe-ping ZHAOXiao-xia. The Bergman Kernels on WIII[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 24-29 |
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| Authors: | LUKe-ping ZHAOXiao-xia |
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| Affiliation: | [1]CollegeofMethematicsandInformationScience,HenanUniversity,Kaifeng475001China [2]BeijingLanguageandCultureUniversity,Beijing100083,China |
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| Abstract: | In this paper, we compute the Bergman kernel function on WIII. |
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| Keywords: | Bergman kernel function holomorphic automorphism group complete or-thonormal system |
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