| A Simple Construction of Gabor Frames for L^2（R） |
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| 引用本文： | 鲁大勇,田金毓. A Simple Construction of Gabor Frames for L^2（R）[J]. 数学季刊, 2009, 24(2): 227-233 |
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| 作者姓名： | 鲁大勇 田金毓 |
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| 作者单位： | |
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| 摘 要： |
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| 关 键 词： | 注册商标 Gabor 框架 施工 函数生成 傅立叶 紧支撑 |
A Simple Construction of Gabor Frames for L2(R) |
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| LU Da-yong TIAN Jin-yu. A Simple Construction of Gabor Frames for L2(R)[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 227-233 |
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| Authors: | LU Da-yong TIAN Jin-yu |
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| Affiliation: | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]Base Department,Zhengzhou Tourism College, Zhengzhou 450009, China |
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| Abstract: | In this paper, we give a method which allows us to construct a class of Parseval frames for L2 (R) from Fourier frame for L2 (I). The result shows that the function which generates a Gabor frame by translations and modulations has "good" properties, i.e., it is sufficiently smooth and compactly supported. |
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| Keywords: | Gabor frame Fourier frame Parseval frame bell function |
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