Clifford分析中超正则函数的几个基本定理

Some Essential Theorem of Hypermonogenic Function in Clifford Analysis

超正则函数是复分析中解析函数的一种推广形式.近年来,超正则函数已得到了较系统的研究.给出了有关超正则函数的几个基本定理,如开拓定理,平均值定理以及区域内的超正则函数与定义在边界上连续函数的关系等,使得对超正则函数的研究更加完善.

Hypermonogenic function is a generalized form of analysis function in complex analysis. In recent years,hypermonogenic function has been systematically studied. Some essential theorem of the hypermonogenic function are discussed, such as the extension theorem, mean valuetheorem and the relation between hypermonogenic function defined in domains and continous functiondefined on the boundary of the domains and so on. These results further the study of hypermonogenic function.