The Bergman kernels on Cartan-Hartogs domain |
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Authors: | Weiping Yin |
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Institution: | (1) Department of Mathematics, Capital Normal University, 100037 Beijing, China |
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Abstract: | The main point is the calculation of the Bergman kernel for the so-called Cartan-Hartogs domains. The Bergman kernels on four
types of Cartan-Hartogs domains are given in explicit formulas. First by introducing the idea of semi-Reinhardt domain is
given, of which the Cartan-Hartogs domains are a special case. Following the ideas developed in the classic monograph of Hua,
the Bergman kernel for these domains is calculated. Along this way, the method of “inflation”, is made use of due to Boas,
Fu and Straube. |
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Keywords: | Cartan domain Bergman kernel function Cartan-Hartogs domain |
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