| 双解析函数的性质及其Hilbert边值问题 |
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| 引用本文： | 王明华.双解析函数的性质及其Hilbert边值问题[J].北京师范大学学报(自然科学版),1998(1). |
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| 作者姓名： | 王明华 |
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| 作者单位： | 北京师范大学数学系!100875，北京 |
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| 摘 要： | 研究了双解析函数的性质，给出了双解析函数Cauchy定理、Morera定理和透弧延拓定理．研究了Cauchy－Fredholm型积分，给出了该型积分边界值的Plemelj公式．利用透弧延拓定理和Cauchy-Fredholm型积分的Plemelj公式，讨论了双解析函数Hilbert边值问题，给出了可解性定理．
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| 关 键 词： | 双解析函数 Cauchy定理 Plemelj公式 Chuchy－Fredholm型积分 Hilbert边值问题 可解性定理 |
SOME PROPERTIES OF BIANALYTIC FUNCTIONS AND ITS HILBERT BOUNDARY VALUE PROBLEM |
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| Wang Minghua.SOME PROPERTIES OF BIANALYTIC FUNCTIONS AND ITS HILBERT BOUNDARY VALUE PROBLEM[J].Journal of Beijing Normal University(Natural Science),1998(1). |
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| Authors: | Wang Minghua |
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| Abstract: | The properties 0f bianalytic functions are considered, the theorem of Cauchy, the theoretn of Morera and the extension theorem of bianalytic functions are obtained. The Cauchy-Fredholm form integrals are investigated and its boundary value formula of Plemelj are obtained. The Hilbert boundary value problem for bianalytic functions is discused and the theorem of its solvability is aIso obtained. |
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| Keywords: | bianalytic functions theorem of Cauchy formula of Plemelj Cauchy-Fredholm form integral Hilbert problem theorem of solvability |
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