n圆柱和m个半平面拓扑积特征流形的奇异积分方程组  

A Class of the Singular Integral Equation on Several Complex Variable

作　　者：靳高峰[1] 许忠义[1] 

机构地区：[1]南昌大学数学系,江西南昌330047

出　　处：《江西师范大学学报（自然科学版）》2005年第2期159-162,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：江西省自然科学基金资助项目(0011024).

摘　　要：在n圆柱和m个半平面拓扑积特征流形上引入算子Sn+m、Tn+m,分别得到它们的有关性质;并讨论了含有Sn+m、Tn+m的奇异积分方程组.Singular integral operators S_(n+m),T_(n+m) are introduced on the characteristic manifold of topotogical product of n cylindrical domains and m half-plane domains.We obtain a series of the compound formulas of S_(n+m),T_(n+m) on the characteristic manifold,and discuss constant coefficient singular integral equation.

关 键 词：奇异积分方程组 特征流形 拓扑积 半平面 圆柱 算子 

分 类 号：O175.5[理学—数学] O174.56[理学—基础数学]