The Boundary Value Problem For Regular Functions On Unbounded Domains In Real Clifford Analysis

In this paper, on the basis of the introduction of the modified Cauchy kernel, we discuss the boundary value problem with conjugate value for regular functions on unbounded domains in real Clifford analysis, whose boundary condition is as follows:Firstly, we give the Plemelj formula for regular functions on unbounded domains. Then, by the integral equation method and the fixed point theorem, we prove the existence and the uniqueness of the solution for the problem.