| Clifford分析中的多周期和准多周期Riemann边值问题 |
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| 引用本文： | 龚亚方. Clifford分析中的多周期和准多周期Riemann边值问题[J]. 数学理论与应用, 2003, 23(3): 5-11 |
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| 作者姓名： | 龚亚方 |
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| 作者单位： | 武汉大学数学与统计学院，武汉，430072 |
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| 摘 要： | 本文考虑了R^n 1空间中椭圆函数和准椭圆函数的一些性质，然后分别讨论了周期和准周期Riemann边值问题，给出了解的表达式和可解条件。
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| 关 键 词： | Clifford分析 椭圆函数 准椭圆函数 Riemann边值问题 可解条件 周期性 Drac算子 |
Multiperiodic and Quasi Multiperiodic Riemann Boundary Value Problems in Clifford Analysis |
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| Gong Yafang. Multiperiodic and Quasi Multiperiodic Riemann Boundary Value Problems in Clifford Analysis[J]. Mathematical Theory and Applications, 2003, 23(3): 5-11 |
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| Authors: | Gong Yafang |
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| Abstract: | In this paper some properties of generalized elliptic and quasi elliptic functions in R n+1 are considered,then Riemann boundary value problems for elliptic functions and quasi elliptic functions in R n+1 are discussed respectively,the explicit expressions of solutions and solvability are obtained for both cases. |
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| Keywords: | Dirac operator Elliptic function Riemann boundary value problem |
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