WⅢ上的Bergman核

数学季刊 ›› 2004, Vol. 19 ›› Issue (1): 24-29.

W_Ⅲ上的Bergman核

1.College of Methematics and Information Science, Henan University, Kaifeng 475001, China; 2. Beijing Language and Culture University, Beijing 100083, China

收稿日期:2003-11-14 出版日期:2004-03-30 发布日期:2024-03-25
作者简介:LU Ke-ping(1963-),male,native of Wugang,Henan,a professor of Henan University,Ph.D., engages in several complex variables.
基金资助:
Supported by the NNSF OF China(10271117)；

The Bergman Kernels on W_Ⅲ

1.College of Methematics and Information Science, Henan University, Kaifeng 475001, China; 2. Beijing Language and Culture University, Beijing 100083, China

Received:2003-11-14 Online:2004-03-30 Published:2024-03-25
About author:LU Ke-ping(1963-),male,native of Wugang,Henan,a professor of Henan University,Ph.D., engages in several complex variables.
Supported by:
Supported by the NNSF OF China(10271117)；

摘要/Abstract

摘要： In this paper, we compute the Bergman kernel function on W_III.and RIII(q) denote the Cartan domain of the third class. Because domain W_IIIis neither homogeneous domain nor Reinhardt domain, we will use a new way to solve this problem. First, we give a holomorphic automorphism group, such that for any Zo, there exists an element of this group, which maps (W, Zo) into (W,O). Second, introduce the concept of semi-Reinhardt and discuss the complete orthonormal system of this domain.

关键词: Bergman , kernel , function, holomorphic , automorphism , group, complete , or- thonormal system

Abstract: In this paper, we compute the Bergman kernel function on W_III.and RIII(q) denote the Cartan domain of the third class. Because domain W_IIIis neither homogeneous domain nor Reinhardt domain, we will use a new way to solve this problem. First, we give a holomorphic automorphism group, such that for any Zo, there exists an element of this group, which maps (W, Zo) into (W,O). Second, introduce the concept of semi-Reinhardt and discuss the complete orthonormal system of this domain.

Key words: Bergman , kernel , function, holomorphic , automorphism , group, complete , or- thonormal system

中图分类号:

O174.55

卢克平, 赵晓霞. W_Ⅲ上的Bergman核[J]. 数学季刊, 2004, 19(1): 24-29.

L U Ke-ping, ZHAO Xiao-xia. The Bergman Kernels on W_Ⅲ[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(1): 24-29.

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