函数向量Riemann边值逆问题

On Inverse Riemann Boundary Value Problems of Function Vector

给出了一类全纯函数向量Riemann边值逆问题的一般提法.分齐次和非齐次两种情形,讨论了此边值逆问题正则型情况的可解性.利用全纯函数向量Riemann边值问题的有关理论,获得了该边值逆问题的可解条件和解的表示式.

In this paper,the general mathematical formulation of inverse Riemann boundary value problems of holomorphic function vector has been given,and the solvability of the homogeneous and nonhomogeneous problem for the normal case has been discussed.On the basis of the theory of Riemann boundary value problems of holomorphic function vector,the solvable conditions and the representation of the solutions have been obtained.