无界域上正则函数向量的一类边值问题

A kind of boundary value problem for regular function vectors with conjugate on unbounded domains

得到了无界域上正则函数向量的Plemelj公式,然后利用积分方程的方法和压缩不动点原理,讨论了实C lifford分析中无界域上正则函数向量的带位移带共轭的线性边值问题解的存在唯一性和积分表达。

The paper obtains the Plemelj formula for regular function vectors on unbounded domains in Clifford analysis. And then, by the compressed fixed point theorem, the paper gives the existence and the integral expression of the solution to the boundary value problem with shift and conjugate value for regular function vectors on unbounded domains in Clifford analysis.