半平面内非正则型Hilbert边值问题

Hilbert Boundary Value Problem of Non-nomal Type in Half Plane

首先给出了半平面内非正则型Hilbert边值问题可解的一个必要条件,然后利用对称扩张法将问题转化为等价的正则型Riemann边值问题,获得了问题的通解及可解性条件.

A necessary condition for hilbert boundary value problem of non-nomal type in half plane was given. Then the problem was transformed to normal Riemann boundary value problems by the method of symmetric extension, so that the solution to the problem and the condition of solvability were obtained.