单位球B_(n)的Bergman核函数

Bergman Kernel of Unit Sphere B_(n)

设C^(n)维复空间,B_(n)是C^(n)中的单位球.利用完备规范正交系以及求单位球B_(n)的全纯自同构等方法计算出单位球B_(n)的Bergman核函数.

Let C^(n) be n-dimensional complex space and B_(n) be the unit sphere in C^(n).In this paper,the Bergman kernel function of unit sphere B_(n) is calculated by using the complete canonical orthogonal system and the holomorphic automorphism of unit sphere B_(n).