| 伸缩因子为s的尺度函数傅里叶变换的支集 |
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| 引用本文： | 徐利国,叶万洲.伸缩因子为s的尺度函数傅里叶变换的支集[J].应用数学与计算数学学报,2009,23(1):115-122. |
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| 作者姓名： | 徐利国 叶万洲 |
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| 作者单位： | 上海大学理学院,上海,200444 |
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| 摘 要： | 主要构造出了一类sd-集但非Wsd-集．同时，我们使用一种新方法，推广了一些已知的结果．基于这些结果，系统地揭示了sd-尺度函数的傅里叶变换的支集与闭球的关系．
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| 关 键 词： | 尺度函数 伸缩因子 支集 闭集 |
Support of Fourier Transform of Scaling Functions with Dilation Factor s |
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| Xu Liguo,Ye Wanzhou.Support of Fourier Transform of Scaling Functions with Dilation Factor s[J].Communication on Applied Mathematics and Computation,2009,23(1):115-122. |
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| Authors: | Xu Liguo Ye Wanzhou |
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| Institution: | (Sciences College, Shanghai University, Shanghai 200444, China) |
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| Abstract: | This paper mainly constructs a class of Sd sets, but not Wsd sets. Furthermore, we generalize some known result by using a new method. On the basis of these results, we systematically reveal the relationship between support of Fourier Transform of sd-scaling functions and closed balls. |
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| Keywords: | scaling function dilation factor support closed set |
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