C^n中有界域的解析自同胚群

The Group of Analytic Automorphism on Baunded Domain in C^n

如何求C^n中有界域D的解析自同胚群Aut(D)?本文提供了一种非常一般的方法:由域D的Bergman核函数,就可以求出Aut(D),并对一类非对称性域定出了它的Aut(D)。

How to get Aut(D), the group of analytic automorphism for a bounded domain D inC^n? We provide a general method in this paper. By using the Bergman Kernel of D we canget the Aut(D). In the meantime, We get the explicit form of Aut(D) for a class of non-symmetric homogenous domains.