| Sobolev空间中平移框架的几个结果 |
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| 引用本文： | 鲁大勇,安岩.Sobolev空间中平移框架的几个结果[J].河南大学学报(自然科学版),2012,42(1):9-12. |
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| 作者姓名： | 鲁大勇 安岩 |
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| 作者单位： | 1. 河南大学数学与信息科学学院,河南开封,475001
2. 开封大学数学教研部,河南开封,475000 |
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| 摘 要： | 利用L2(T)中点到子空间距离的概念,给出了Sobolev空间HS(R)中平移框架的一个等价条件,并从该等价条件出发,讨论了HS(R)中具有不同步长的平移序列在平移框架意义下的几种关系.
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| 关 键 词： | Sobolev空间 平移框架 框架序列 |
Results on Frames of Translates in Sobolev Spaces |
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| LU Da-yong
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AN Yan.Results on Frames of Translates in Sobolev Spaces[J].Journal of Henan University(Natural Science),2012,42(1):9-12. |
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| Authors: | LU Da-yong AN Yan |
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| Institution: | 1.School of Mathematics and Information Sciences,Henan University,Henan Kaifeng 475001,China; 2.Teaching and Research Department of Mathematics,Kaifeng University,Henan Kaifeng 475000,China) |
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| Abstract: | By means of the concept of distance between an element and a Subspace in L2(T),this paper gives an equivalent condition on frames of translates in Sobolev spaces HS(R),and from ti,it is shown several relationships among shift sequences in meaning of frame of translates with diffelvent step sizes. |
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| Keywords: | Sobolev spaces frames of translates frame sequences |
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