有限Mbius变换群下的Haseman边值问题  

Haseman's Boundary Value Problem Under Finite Groups of Mbius Transformation

作　　者：郑学良[1] 

机构地区：[1]台州学院数学系,临海317000

出　　处：《上海交通大学学报》2007年第5期840-844,共5页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(10671174);浙江省教育厅科研项目(20060074);台州市科技计划项目(063KY08)

摘　　要：对于复平面上具Lyapunov边界闭曲线保持有限Mbius群下不变且在边界曲线上带有位移函数的Haseman边值问题,给出了问题的可解性理论和解的简单表示形式.Haseman＇s boundary value problem with shift and finite invariant MObius transformation group was investigated in the complex plane. Then the corresponding formal solutions of the problem were presented to be so-called Cauchy type integral, whose density function is a unique solution of a class of weak Fredholm type equation.

关 键 词：Mowbius变换群 基本区域 位移函数 Haseman问题 弱Fredholm方程 

分 类 号：O174.5[理学—数学]