| 框架的局部化 |
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| 引用本文： | 吴延红.框架的局部化[J].数学研究及应用,2010,30(1):78-86. |
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| 作者姓名： | 吴延红 |
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| 作者单位： | 南开大学数学科学学院, 天津300071 |
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| 基金项目： | 国家自然科学基金(Grant No.10571089). |
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| 摘 要： | Grochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization. The concepts were used to Gabor frames, wavelet frames and sampling theorem in recent years. Here they are applied to the frame of exponential windows with the conclusion that the frame of exponential windows is a Banach frame for a kind of Banach spaces, and the conclusion is also obtained about the relationship between frame bounds, frame density, measure and density of indexing set.
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| 关 键 词： | 小波框架 Banach空间 定位 密度关系 Gabor 采样定理 本地化 巴拿赫 |
| 收稿时间： | 3/5/2008 12:00:00 AM |
| 修稿时间： | 1/5/2009 12:00:00 AM |
Localization of Frames |
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| Yan Hong WU.Localization of Frames[J].Journal of Mathematical Research with Applications,2010,30(1):78-86. |
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| Authors: | Yan Hong WU |
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| Institution: | Department of Mathematics and LPMC,Nankai University,Tianjin 300071,P.R.China |
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| Abstract: | Gr\"ochenig and Balan, Casazza, Heil, and Landau introduced the concepts of localization. The concepts were used to Gabor frames, wavelet frames and sampling theorem in recent years. Here they are applied to the frame of exponential windows with the conclusion that the frame of exponential windows is a Banach frame for a kind of Banach spaces, and the conclusion is also obtained about the relationship between frame bounds, frame density, measure and density of indexing set. |
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| Keywords: | frame localization Banach frame density |
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