| 单位圆周上的周期Hilbert边值逆问题的研究 |
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| 引用本文： | 赵爽,张姮妤,丁慧,张一敏.单位圆周上的周期Hilbert边值逆问题的研究[J].绥化学院学报,2013(11):156-160. |
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| 作者姓名： | 赵爽 张姮妤 丁慧 张一敏 |
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| 作者单位： | 绥化学院黑龙江绥化152061 |
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| 基金项目： | 绥化学院杰出青年基金项目（SJ11005）. |
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| 摘 要： | 文章介绍了解析函数的周期Hilbert边值逆问题在单位圆周上的数学提法,应用周期延拓、保形变换等方法将问题转化为经典的Riemann边值问题和Hilbert边值问题,并依据它们的经典理论,讨论了此类边值问题的可解性,给出了该类边值问题的可解条件及其在正则情况下的一般解.
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| 关 键 词： | Hilbert边值逆问题 周期 单位圆 指标 正则型 |
Research into the Inverse Problems of Hilbert Boundary Value on Unit Circles with Periodicity |
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| Zhao Shuang,Zhang Hengyu,Ding Hui,Zhang Yimin.Research into the Inverse Problems of Hilbert Boundary Value on Unit Circles with Periodicity[J].Journal of Suihua University,2013(11):156-160. |
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| Authors: | Zhao Shuang Zhang Hengyu Ding Hui Zhang Yimin |
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| Institution: | (Suihua University, Suihua, Heilongjiang 152061 ) |
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| Abstract: | This paper gives the mathematical formulation of the inverse problems of Hilbert boundary value with periodicity of analytic function on the unit circle and then transfers the problem into the classical Riemann boundary value problem and Hilbert boundary value problem by periodic continuation and conformal transform and so on. According to their classical theory, the solvability of the boundary value problems is discussed and the solvable conditions of this boundary value problems and general solutions on the normal type are presented. |
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| Keywords: | inverse problems of Hilbert boundary value period unit circle index normal type |
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