| 樊启斌,鲁大勇.一类周期紧小波框架的构造[J].数学年刊A辑,2012,33(3):341~350 |
| 一类周期紧小波框架的构造 |
| Construction of a Class of Periodic Tight Wavelet Frames |
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| DOI： |
| 中文关键词: 周期小波框架 函数周期化 酉延拓原理 斜延拓原理 |
| 英文关键词:Periodic wavelet frames, Function periodization, Unitary extension
principle, Oblique extension principle |
| 基金项目:国家自然科学基金，国家重点基础研究发展计划 |
| Author Name | Affiliation | E-mail | | FAN Qibin | School of Mathematics and Statistics, Wuhan University, Wuhan 430072,
china | qbfan@whu.edu.cn | | LU Dayong | School of Mathematics and Statistics, Wuhan University, Wuhan 430072,
China
School of Mathematics and Information Science, Henan University,
Kaifeng 475001, Henan, china | dayonglu@163.com |
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| 中文摘要: |
| 从L2(Rd)上构造紧小波框架的一般方法(即延拓原理)出发,利用函数的周期化过程,给出了L2([0,1]d)上一类紧小波框架的构造方法. |
| 英文摘要: |
| In this paper, the authors present a method to construct a class of tight wavelet frames for $L^2([0,1]^d)$ by means of
function periodization from the general method constructing tight wavlet
frames for $L^2(\BR^d)$ --- the Extension Principles. |
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