| 连续小波变换及小波框架算子的一些性质 |
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| 引用本文： | 王公宝,马伟明,吴旭升. 连续小波变换及小波框架算子的一些性质[J]. 应用泛函分析学报, 2003, 5(1): 64-68 |
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| 作者姓名： | 王公宝 马伟明 吴旭升 |
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| 作者单位： | 1. 海军工程大学基础部,湖北,武汉,430033
2. 海军工程大学电力电子技术应用研究所,湖北,武汉,430033 |
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| 基金项目： | 海军工程大学应用基础科研基金 (2 0 0 0 70 3) |
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| 摘 要： | 以泛函分析的观点来考察连续小波变换及小波框架算子，得到了它们的一些性质，并给出了严格证明，弥补了有关献中的不足。
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| 关 键 词： | 小波分析 有界线性泛函 小波框架 Hilbert空间 连续小波变换 小波框架算子 |
| 文章编号： | 1009-1327(2003)01-0064-05 |
| 修稿时间： | 2001-08-03 |
Some Properties of Continuous Wavelet Transform and Wavelet Frame Operator |
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| wang gong-bao ,ma wei-ming ,wu xu-sheng .dept of basic courses,naval univ of engineering,wuhan ,china .research inst of power electronic technique , application,naval univ of Engineering,wuhan ,china. Some Properties of Continuous Wavelet Transform and Wavelet Frame Operator[J]. Acta Analysis Functionalis Applicata, 2003, 5(1): 64-68 |
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| Authors: | wang gong-bao ma wei-ming wu xu-sheng .dept of basic courses naval univ of engineering wuhan china .research inst of power electronic technique & application naval univ of Engineering wuhan china |
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| Affiliation: | wang gong-bao 1,ma wei-ming 2,wu xu-sheng 2 1.dept of basic courses,naval univ of engineering,wuhan 430033,china 2.research inst of power electronic technique & application,naval univ of Engineering,wuhan 430033,china |
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| Abstract: | the continuous wavelet transform a Nd wavelet frame operator are investigated from the functional analysis point of v Iew. Some main properties of continuous wavelet transform and wavelet frame oper Ator are obtained with strict mathematical proof, which remedy some relevant def Ects of the references.= |
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| Keywords: | basic wavelet continuous wavelet transform wavel Et frame wavelet frame operator |
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