摘要
研究Clifford分析中无界域上K正则函数,得到它的一种表示和一些性质,利用Plemelj公式求出一类Riemann边值问题O解的表达式,利用转化法和积分方程及不动点原理证明另一类边值问题O′解的存在惟一性.
K-regular functions on unbounded domains in Clifford analysis are studied. A kind of representation and some properties of the functions are obtained. By using Plemelj formula, the expression of the O solution to a class of Riemann boundary value problems is obtained also. By applying conversion method and integral equation method as well as the fixed point theorem, the existence and uniqueness of the O＇ solution to Riemann boundary value problems for K-regular function are proved.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第6期693-697,共5页
Journal of Sichuan Normal University（Natural Science）
基金
湖南省自然科学基金(06JJ5001)
湖南省教育厅高校科研计划基金(07C165)资助项目
