多圆环柱域上解析函数边值问题再论

Further Discussion on the Boundary Value Problem for Analytic Functions in Several Circular Ring Cylinder Domain

讨论多圆环柱域上多个复变量的解析函数的一般形式的 Riemann- Hilbert边值问题。通过函数的解析变换 ,导出了解析函数一般形式的 Riemann- Hilbert边值问题的可解性 ,并给出了解的积分表达式。

In this paper,we discuss the general case of the Riemann-Hilbert boundary value problem for analytic functions of several complex variables in several circular ring cylinder domain.Through the transformation of analytic functions, we have derived the solvability for the ordinary Riemann-Hilbert boundary value problems for an analytic function of several complex variables. And we present the integral expressions of the solution.