| 子空间MRA小波的一个刻画 |
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| 引用本文： | 李万社,陈旭丽.子空间MRA小波的一个刻画[J].汕头大学学报(自然科学版),2011,26(3):22-28. |
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| 作者姓名： | 李万社 陈旭丽 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 通过相关定理及构造方法,研究了小波函数与多分辨分析的关系,重点研究了MRA小波及MRA小波集存在的条件.特别是在上述研究方法的基础上,通过构造演绎的方法构造出了MRA小波集,继而通过基本小波集理论给出了相应的MRA小波,由此得出了MRA小波存在的充要条件及形式.
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| 关 键 词： | MRA小波 小波集 MRA小波集 |
A Characterization of Subspace MRA Wavelets |
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| LI Wan-she,CHEN Xu-li.A Characterization of Subspace MRA Wavelets[J].Journal of Shantou University(Natural Science Edition),2011,26(3):22-28. |
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| Authors: | LI Wan-she CHEN Xu-li |
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| Institution: | LI Wan-she,CHEN Xu-li(College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi,China) |
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| Abstract: | In this paper, the concepts of wavelel, MRA and MRA wavelet are, introduced. According to some known theorems, the relation between a wavelel and a MB_A wavelet is studied. The conditions that MRA wavelet an{t MRA wavelet set exisl are studied. Based on above methods, a necessary and sufficient condition for MRA wavelet is obtained. |
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| Keywords: | MRA wavelet wavelet set MRA wavelet set |
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