Bergman kernel function on Hua construction of the fourth type  

作　　者：Yin Weiping Lin Ping 

机构地区：[1]Department of Mathematics, Capital Normal University, Beijing 100037, China

出　　处：《Progress in Natural Science:Materials International》2007年第8期893-899,共7页自然科学进展·国际材料（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No.10471097);the Doctor Station Foundation of the Ministry of Education

摘　　要：This paper introduces the Hua construction and presents the holomorphic automorphism group of the Hua construction of the fourth type. Utilizing the Bergman kernel function, under the condition of holomorphlc automorphism and the standard complete or- thonormal system of the semi-Reinhardt domain, the infinite series form of the Bergrnan kernel function is derived. By applying the properties of polynomial and r functions, various identification relations of the aforementioned form are developed and the explicit formula of the Bergman kernel function for the Hua construction of the fourth type is obtained, which suggest that many of the previously-reported results are only the soecial cases of our findings.这篇论文介绍 Hua 构造并且介绍第四种类型的 Hua 构造的 holomorphic 自守组。利用 Bergman 内核函数，在 holomorphic 自守和 semi-Reinhardt 域的标准完全的 orthonormal 系统的条件下面，从 Bergman 内核函数的无限的系列被导出。由使用多项式和 Γ 功能的性质，上述的形式的各种各样的鉴定关系被开发，为第四种类型的 Hua 构造的 Bergman 核功能的明确的公式被获得，它建议许多以前报导的结果仅仅是我们的调查结果的特殊情况。

关 键 词：Hua construction Bergman kernel function holomorphic automorphism group. 

分 类 号：TP301.6[自动化与计算机技术—计算机系统结构]