摘要
论文以显式给出了第二类华罗庚域的Bergman核函数 .关键之处有两点 :一是给出了该域的全纯自同构群 ,该群的任一元素能把该域的形为 (W1,W2 ,Zo)的点映为 (W 1,W 2 ,0 ) ;二是引进了semi Reinhardt域的概念并求出了它的完备标准正交函数系 .
In this paper the Bergman kernel function s computed in explicit formula for the Hua domain of the second type. There are two key steps: One is to get the holomorphic automorphism group for the Hua domain such that each element of this group maps the inner points (W 1, W 2, Z 0) onto (W * 1, W * 2, 0); another one is to introduce the notion of semi Reinhardt domain and to compute the complete orthonormal system for the semi Reinhardt domain.
基金
国家自然科学基金委员会重点基金! (196 310 10 )
北京市自然科学基金! (1972 0 0 2 )资助项目
