| 三角矩阵与共线数字集产生自仿测度的谱性质 |
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| 引用本文： | 高桂宝,姚喜妍.三角矩阵与共线数字集产生自仿测度的谱性质[J].吉林大学学报(理学版),2016,54(1):31-34. |
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| 作者姓名： | 高桂宝 姚喜妍 |
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| 作者单位： | 1. 陕西师范大学 数学与信息科学学院, 西安 710062; 2. 运城学院 应用数学系, 山西 运城 044000 |
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| 摘 要： | 利用Strichartz判定谱性质的一个结论,讨论共线数字集自仿测度的谱性质,给出一种判定三角矩阵与R~3中共线数字集产生自仿测度谱性质的方法.
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| 关 键 词： | 代函数系 自仿测度 共线数字集 谱测度 和谐对 |
| 收稿时间： | 2015-04-07 |
Spectrality of Self affine Measures Generated byTriangle Expanding Matrix and Collinear Digit Set |
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| GAO Guibao,YAO Xiyan.Spectrality of Self affine Measures Generated byTriangle Expanding Matrix and Collinear Digit Set[J].Journal of Jilin University: Sci Ed,2016,54(1):31-34. |
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| Authors: | GAO Guibao YAO Xiyan |
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| Institution: | 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;2. Department of Applied Mathematics, Yuncheng University, Yuncheng 044000, Shanxi Province, China |
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| Abstract: | We used a theorem given by Strichartz to discuss the spectrality of self affine measures of collinear digit set. We gave a method to deal with the spectrality with collinear case on R3. |
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| Keywords: | iterated function system (IFS) self affine measure collinear digit set spectral measure compatible pair |
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