The Bergman kernel functions on Hua domains |
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Authors: | YIN Weiping WANG An Zhao Zhengang Zhao Xiaoxia Guan Bingxin |
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Institution: | Mathematics Department, Capital Normal University, |
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Abstract: | We get the Bergman kernel functions in explicit formulas on four types of Hua domain.There are two key steps: First, we give the holomorphic automorphism groups of four types of Hua domain; second, we introduce the concept of semi-Reinhardt domain and give their complete orthonormal systems. Based on these two aspects we obtain the Bergman kernel function in explicit formulas on Hua domains. |
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