【摘要】 本文考虑了解析函数非正则型的Hilbert边值问题.利用对称扩张法将问题化为等价的正则型Riemann边值问题,获得了问题的通解及可解性条件,同时给出了问题可解的一个必要条件.更多还原

【Abstract】 In this paper, Hilbert boundary value problem of non-normal type for analytic function is considered. The problem is transformed to normal Riemann boundary value problem by the method of symmetric extension. The solution to the problem and the condition of solvability are obtained. Meanwhile, by using the Peano derivative, a necessary condition for the solvability of the problem is given.更多还原