上半平面中双周期函数的Hilbert边值逆问题

A Hilbert Boundary Value Inverse Problem for Doubly-Periodic Function on Upper Half-plane

研究了一类上半平面中双周期函数的Hilbert边值逆问题.利用函数的对称扩张,将其转化为无穷直线上双周期Riemann边值问题,得到了问题的一般解及可解性定理.

We study a Hilbert Boundary Value Inverse Problem for Doubly-Periodic Function on Upper Half-plane. The explicit expression of the solution and the condition of the solvability for the problem are obtained by using the symmetric extension of analytic functions and reducing the problem to a Riemann boundary value problem for doubly-periodic function on upper half-plane.