| 框架多分辨分析谱的研究 |
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| 引用本文： | 辛友明.框架多分辨分析谱的研究[J].华东师范大学学报(自然科学版),2006,2006(5):59-65. |
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| 作者姓名： | 辛友明 |
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| 作者单位： | 华东师范大学,数学系,上海,200062;青岛科技大学,数理系,山东,青岛,266061 |
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| 摘 要： | 首先给出了一个可测集是框架多分辨分析(FMRA)谱的充分和必要条件,然后用一种新的方法刻画了包含于给定多分辨分析(MRA)的框架多分辨分析(FMRA)的谱.这是对H.O.Kim等人研究的改进.
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| 关 键 词： | 机多分辨分析(MRA) 框架多分辨分析(FMRA) 谱 尺度函数 |
| 文章编号： | 1000-5641（2006）05-0059-07 |
| 收稿时间： | 2005-03 |
| 修稿时间： | 2005-03 |
On the Spectrums of Frame Multiresolution Analysis(Chinese) |
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| XIN You-ming.On the Spectrums of Frame Multiresolution Analysis(Chinese)[J].Journal of East China Normal University(Natural Science),2006,2006(5):59-65. |
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| Authors: | XIN You-ming |
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| Affiliation: | 1, Department of Mathematics, East China Normal University, Shanghai 200062, China; 2. Department of Mathematics and Physics, Qingdao University of Science and Technology, Shandong Qingdao 266061, China |
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| Abstract: | Conditions for the spectrum of the central space of an FMRA were given, and a new characterization of the spectrums of the central spaces of FMRAs contained in an MRA was developed. It improved the results of H.O. Kim, et al. |
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| Keywords: | multiresolution analysis(MRA) frame multiresolution analysis(FMRA) spectrum scaling function |
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