| 一类广义解析函数的Riemann边值逆问题 |
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| 引用本文： | 温小琴,李明忠.一类广义解析函数的Riemann边值逆问题[J].数学杂志,2004,24(4):457-464. |
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| 作者姓名： | 温小琴 李明忠 |
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| 作者单位： | 上海大学数学系,上海,200436 |
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| 基金项目： | 国家自然科学基金资助项目 (196 70 5 6 )，上海市委自然科学基金资助项目 (99ZA14 0 30 ) |
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| 摘 要： | 本文给出了一类有关广义解析函数Riemann边值逆问题的数学提法．在将此边值逆问题转化为边值问题的基础上，借助于广义解析函数边值问题的相关理论，分别获得了此边值逆问题在正则型和非正则型情况下的解．
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| 关 键 词： | Riemann边值逆问题 分片正则解 指标 |
| 文章编号： | 0255-7797(2004)04-0457-08 |
A CLASS OF INVERSE RIEMANN BOUNDARY VALUE PROBLEMS FOR GENERALIZED HOLOMORPHIC FUNCTIONS |
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| WEN Xiao-qin,LI Ming-zhong.A CLASS OF INVERSE RIEMANN BOUNDARY VALUE PROBLEMS FOR GENERALIZED HOLOMORPHIC FUNCTIONS[J].Journal of Mathematics,2004,24(4):457-464. |
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| Authors: | WEN Xiao-qin LI Ming-zhong |
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| Abstract: | In this paper, the mathematical formulation of a class of inverse Riemann boundary value problems for generalized holomorphic functions is presented. On the basis of transferring these inverse boundary value problems into direct problems for generalized holomorphic functions, the solutions of the regular and irregular cases to these inverse boundary value problems are obtained respectively. |
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| Keywords: | inverse Riemann boundary value problems piecewise regular solutions index |
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