摘要
讨论多圆环柱域上多个复变量的解析函数的Riemann一Hilbert边值问题。通过引入变态的边值问题和对解析函数的Dirichlet边值问题的可解性的证明，给出了解析函数的Riemann－Hilbert边值问题可解的充要条件及解的积分表达式。
In this paper, we discuss the Riemann-Hilbert boundary value problem for analytic functions of several complex variables in several circular ring cylinder-domain. Through the introdtiction of modified boundary value problems and the proof of the solvability of the Dirichlet boundary value problem for analytic functions the sufficient and necessary solvable conditions and integral expressions of solutions for the Riemann-Hilbert boundary value problem for anlytic functions are given.
关键词
多圆环柱域
解析函数
边值问题
Analytic function of several complex variables
Riemann-Hilbert boundary value problem
boundary condition
solvability
