| 关于实轴上多解析函数Riemann边值问题的可解性 |
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| 引用本文： | 汪玉峰. 关于实轴上多解析函数Riemann边值问题的可解性[J]. 数学杂志, 2005, 25(4): 373-378 |
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| 作者姓名： | 汪玉峰 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | Supported by RFDP of Higher Education and NNSF of China, SF of Wuhan University. |
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| 摘 要： | 本文研究了实轴上具有不同因子的多解析函数的Riemann边值问题的可解性．利用所谓的转化法．建立了Riemann问题的可解性与其相联问题的解之间的关系。该结果推广了解析函数的相应理论。
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| 关 键 词： | 多解析函数 Riemann边值问题 相联Riemann问题 可解性 |
| 文章编号： | 0255-7797(2005)04-0373-06 |
ON SOLVABILITY OF RIEMANN BOUNDARY VALUE PROBLEMS FOR POLYANALYTIC FUNCTIONS ON THE REAL AXIS |
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| WANG Yu-feng. ON SOLVABILITY OF RIEMANN BOUNDARY VALUE PROBLEMS FOR POLYANALYTIC FUNCTIONS ON THE REAL AXIS[J]. Journal of Mathematics, 2005, 25(4): 373-378 |
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| Authors: | WANG Yu-feng |
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| Abstract: | In this article,we study the solvability of Riemann boundary value problem for polyanalytic functions with different factors on the real axis.By using the so-called method of conversion, the relation between the solvability of Riemann problem and the solution of its adjoint problem are set up. The result generalizes the corresponding theory of analytic function. |
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| Keywords: | polyanalytic function Riemann boundary value problem adjoint Riemann boundary value problem solvability |
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