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R中数字集的刻画

Characterization of Digit Sets in R
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摘要 利用自相似tile的相关结论,给出了其平方可积空间中的一组规范正交集L2(T);证明了数字集DR在严格积条件下,其相应的自相似tile的自复制tiling集与格tiling的同一性;通过引入紧集的概念,得到了一种研究自相似tile数字集的新方法. An orthonormal set of L^2（T） is given by using the correlated result of the self-similar tile T. It is proved that the lattice tiling of a self-similar tile is also the self-replicating tiling, provided the digit set D has strictly product-form. A new method to study the self-similar tile digit sets is also obtained by introducing the concept of tight set.
作者 相中启 简辉华
机构地区 华中师范大学数学与统计学学院 新余学院电气与电子工程学院
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2013年第1期1-4,共4页 Journal of Natural Science of Hunan Normal University
基金 国家自然科学基金资助项目(10771082)
关键词 数字集 迭代函数系统 自相似tile 刻画 digit set iterated function system self-similar tile characterization
分类号 O174.22 [理学—基础数学]
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参考文献12

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湖南师范大学自然科学学报
2013年 第1期

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