摘要
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.
出处
《数学的实践与认识》
北大核心
2015年第10期281-285,共5页
Mathematics in Practice and Theory
基金
黑龙江省教育厅科研项目资助(12541089)
关键词
上半平面
双周期
Hilbert边值逆问题
可解性
upper half-plane
doubly-periodic function
hilbert boundary value inverse problem
solvability.