| 实Clifford分析中正则函数向量的某些Riemann边值问题 |
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| 引用本文： | 王冰冰,库敏,张永胜.实Clifford分析中正则函数向量的某些Riemann边值问题[J].洛阳工业高等专科学校学报,2009,19(2). |
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| 作者姓名： | 王冰冰 库敏 张永胜 |
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| 作者单位： | 1. 洛阳理工学院数理部,河南洛阳,471023
2. 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | 河南省自然科学基金，校青年基金 |
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| 摘 要： | 讨论了正则函数向量的带矩阵函数系数正则函数向量的Riemann边值问题.首先给出了实Clifford分析中带矩阵函数系数正则函数向量的Riemann边值问题的提法,然后在特殊情况下分别得到了他们的解,最后证明了正则函数向量的一类奇异积分方程和奇异方程组相应地与其等价.
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| 关 键 词： | 实Clifford分析 Riemann边值问题 正则函数向量 奇异积分方程 |
Some Riemann Boundary Value Problems of Regular Functional Vector in Real Clifford Analysis |
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| WANG Bing-bing,KU Min,ZHANG Yong-sheng.Some Riemann Boundary Value Problems of Regular Functional Vector in Real Clifford Analysis[J].Journal of Luoyang Technology College,2009,19(2). |
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| Authors: | WANG Bing-bing KU Min ZHANG Yong-sheng |
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| Institution: | 1.Department of Mathematics and Physics Luoyang Institute of Science and Technology;Henan Luoyang 471023;China;2.School of Mathematics and Statistics Wuhan University;Hubei 430072;China |
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| Abstract: | This paper discusses about Riemann boundary value problem with matrix functional coefficient for the regular functional vector.It firstly presents the above mentioned terms in the real Clifford analysis,then under a special case gets their solutions,and further proves that they are respectively equivalent to a kind of singular integral equation of regular functional vector. |
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| Keywords: | Real Clifford analysis Riemann boundary value problem Regular functional vector Singular integral equation |
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