| a尺度广义多分辨结构与平移伪框架 |
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| 引用本文： | 华德林,马金栓,程正兴.a尺度广义多分辨结构与平移伪框架[J].河南师范大学学报(自然科学版),2009,37(1). |
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| 作者姓名： | 华德林 马金栓 程正兴 |
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| 作者单位： | 1. 南阳理工学院,教育学院,河南,南阳,473000
2. 西安交通大学,理学院,西安,710049 |
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| 摘 要： | 引进了函数空间L2(R)中的a(2a∈Z)尺度广义多分辨结构与平移伪框架的概念,给出了它的塔式分解格式及其存在的条件,进而得到平方可积函数空间的函数仿射框架展式.推广了双正交小波的概念.
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| 关 键 词： | 广义多分辨结构 平移伪框架 塔式分解格式 仿射伪框架 |
The Pyramid Decomposition Scheme with Dilation Factor a and the Translation Pseudoframes |
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| HUA De-lin,MA Jin-shuan,CHENG Zheng-xing.The Pyramid Decomposition Scheme with Dilation Factor a and the Translation Pseudoframes[J].Journal of Henan Normal University(Natural Science),2009,37(1). |
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| Authors: | HUA De-lin MA Jin-shuan CHENG Zheng-xing |
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| Institution: | 1.College of Education;Nanyang Institute of Technology;Nanyang 473000;China;2.School of Science;Xi'an Jiaotong University;Xi'an 710049;China |
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| Abstract: | The notion of a generalized multiresolution structure biorthogonal wavelets is introduced,and the concept of affine pseudoframes of L2(R)is given.The pyramid decomposition scheme of a generalized multiresolution structure is presented,which is similar to Mallat's pyramid algorithm.Anecessary and sufficient condition for the existence of the pyramid decomposition scheme is presented.Moreover,affine frame pseudoframe expansions of L2(R)are constructed by virtue of the pyramid decomposition scheme. |
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| Keywords: | generalized multiresolution structure translation pseudoframes pyramid decomposition scheme affine pseudoframes |
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