| L~2(R)的子空间仿射伪框架 |
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| 引用本文： | 袁德有,安宗灵.L~2(R)的子空间仿射伪框架[J].河南师范大学学报(自然科学版),2007,35(3):4-7,14. |
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| 作者姓名： | 袁德有 安宗灵 |
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| 作者单位： | 南阳理工学院,数学系,河南,南阳,473000 |
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| 基金项目： | 国家自然科学基金
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河南省自然科学基金 |
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| 摘 要： | 引进广义多分辨结构与子空间伪框架的概念.给出Paley-Wiener子空间的广义多分辨结构的构造.类似于S.Mallat的金字塔算法,建立了广义多分辩结构的塔式分解格式.得到塔式分解格式存在的条件.由此得到L2(R)中的函数的仿射框架展式.
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| 关 键 词： | 广义多分辨结构 子空间 伪框架 仿射框架 塔式分解格式 |
| 文章编号： | 1000-2367（2007）03-0004-04 |
| 修稿时间： | 2006-10-21 |
Affine Pseudoframes for Subspaces of L2(R) |
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| YUAN De-you,AN Zong-ling.Affine Pseudoframes for Subspaces of L2(R)[J].Journal of Henan Normal University(Natural Science),2007,35(3):4-7,14. |
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| Authors: | YUAN De-you AN Zong-ling |
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| Institution: | Dept. of Math. , Nanyang College of Technology, Nanyang 473000,China |
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| Abstract: | The notion of generalized multiresolution structure in L2(R) is introduced.The definition of pseudoframes for subspaces is given.The construction of the generalized multiresolution structure of Paley-Wiener subspace is investigated.The pyramid decomposition scheme of a generalized multiresolution structure is proposed,which is similar to Mallat's pyramid algorithm.A necessary condition for the existence of the pyramid decomposition scheme is presented.Finally,affine frames of L2(R) are constructed by virtue of the pyramid decomposition scheme. |
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| Keywords: | generalized multiresolution structure subspaces pseudoframes affine frames pyramid decomposition scheme |
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