R^m中的一类Riemann边值问题和Hilbert边值问题

A kind of Riemann and Hilbert boundary value problems for monogenic functions in R^m

在经典意义下运用Clifford分析中单演函数的理论 ,讨论了Rm 中的一类Riemann边值问题和Hilbert边值问题 ,并给出了每种边值问题的解的表达式 .

By the use of monogenic function theory, a kind of Riemann and Hilbert boundary value problems (BVP) for monogenic functions in Clifford analysis are investigated in the classical sense, and the explicit formula of the solution in each case are obtained respectively.