THE REPRESENTATION OF HOLOMORPHIC FUNCTIONS ON THE QUASI-CIRCULAR DOMAIN AND THE BERGMAN KERNEL FUNCTION ON THE SYMMETRIZED BALL

被引：0

作者：

Zhong, Chengchen ^{[1
]}

Pan, Lishuang ^{[2
]}

Wang, An ^{[3
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Shijiazhuang Univ, Sci Coll, Shijiazhuang 050035, Hebei, Peoples R China

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2022年 / 48卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Quasi-circular domain; orthonormal basis; Bergman kernel function; symmetrized ball; AUTOMORPHISMS; GEOMETRY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct the relationship between the circular domain and quasi-circular domain by using standard mapping and standard inverse mapping in order to give the quasi-homogeneous representation of holomorphic functions on quasi-circular domain. By using the above result, we obtain the form of orthonormal basis on quasi-circular domain. Especially, we give the Bergman kernel function on symmetrized ball.

引用

页码：59 / 75

页数：17

共 31 条

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