第一类Cartan-Hartogs域的带权Bergman核函数

冯志明;

数学学报 ›› 2009 ›› Issue (04) : 99-108.

数学学报 ›› 2009 ›› Issue (04) : 99-108. DOI: 10.12386/A2009sxxb0088
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第一类Cartan-Hartogs域的带权Bergman核函数

    冯志明;
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Weighted Bergman Kernels Cartan-Hartogs Domains of the First Type

    Zhi Ming FENG Department of Mathematics,Leshan Teachers College,Leshan 614000,P.R.China
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摘要

用表示论方法给出在一定条件下有界域的带权Bergman核函数的级数表达式,并用广义Selberg积分公式计算了第一类Cartan-Hartogs域的带权Bergman核函数.

Abstract

In this paper,by using representation theoretic method,the author gives series expression of weighted Bergman kernels of bounded domains in given conditions, and computes weighted Bergman kernel function on Cartan-Hartogs domains of the first type by using generalized Selberg integral formula.

关键词

Cartan域 / 带权Bergman核函数 / Cartan-Hartogs域

Key words

weighted Bergman kernel function / Cartan domain / Cartan-Hartogs domain

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冯志明;. 第一类Cartan-Hartogs域的带权Bergman核函数. 数学学报, 2009(04): 99-108 https://doi.org/10.12386/A2009sxxb0088
Zhi Ming FENG Department of Mathematics,Leshan Teachers College,Leshan 614000,P.R.China. Weighted Bergman Kernels Cartan-Hartogs Domains of the First Type. Acta Mathematica Sinica, Chinese Series, 2009(04): 99-108 https://doi.org/10.12386/A2009sxxb0088

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