| C^n空间有界域上Cauchy-Leray公式和Cauchy-Fantappie公式的拓广 |
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| 引用本文： | 胡琳 刘麦学. C^n空间有界域上Cauchy-Leray公式和Cauchy-Fantappie公式的拓广[J]. 洛阳师范学院学报, 2006, 25(2): 1-4 |
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| 作者姓名： | 胡琳 刘麦学 |
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| 作者单位： | [1]南昌大学数学系,江西南昌330047 [2]洛阳师范学院数学系,河南洛阳471022 |
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| 摘 要： | 本文得到C^n中有界域上积分核含有向量函数的Cauchy—Leray和Cauchy—Fantappie的拓广式，同时还可以得到C^n空间中有界域上全纯函数著名的Cauchy—Fantappie公式的一种积分核含有向量函数的拓广式，在公式中适当的选取参数，可以得到至今许多区域上光滑函数和全纯函数种种已有积分公式．
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| 关 键 词： | 积分表示 有界域 单位分解 向量函数 |
| 文章编号： | 1009-4970（2006）02-0001-04 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006-01-05 |
An Extension of Cauchy-Leray Formula and Cauchy-Fantappie Formulas On Bounded Domains In C^n |
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| HU Lin, LIU Mai-xue. An Extension of Cauchy-Leray Formula and Cauchy-Fantappie Formulas On Bounded Domains In C^n[J]. Journal of Luoyang Teachers College, 2006, 25(2): 1-4 |
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| Authors: | HU Lin LIU Mai-xue |
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| Abstract: | In this paper, we obtain an extension of Cauchy-Leray formula and Cauchy-Fantappie formula on bounded domains in including vector functions in kernel. At the same time, we also can obtain an extension of Cauchy-Fantappie for regular functions including vector functions in kernel on bounded domains in. By properly choosing the vector functions and the real parameters, we can obtain a kind of known abstract formula and concrete integral formula for smooth and regular functions in many domains. |
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| Keywords: | integral representation bounded domain unit resolution the vector functions |
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