摘要
In this paper, we compute the Bergman kernel function on WIII.
In this paper, we compute the Bergman kernel function on WIII.and RIII(q) denote the Cartan domain of the third class. Because domain WIII is 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.
基金
Supported by the NNSF OF China(10271117)
关键词
函数
内核
清晰度
引理
Bergman kernel function
holomorphic automorphism group
complete or-thonormal system
