| 关于平面中一类特定数字集谱测度的探讨 |
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| 引用本文： | 张玉琴,李俊丽.关于平面中一类特定数字集谱测度的探讨[J].纺织高校基础科学学报,2012,25(1):67-70,82. |
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| 作者姓名： | 张玉琴 李俊丽 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,陕西西安,710062 |
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| 摘 要： | 讨论平面上由整数扩张矩阵M=a b d c],det（M）=ac-bd∈2Z和数字集D={（00）,（m0）,（nk1）,（lk2）}（m≠0,n,l∈Ζ,k1,k2∈2Ζ＋1）决定的L2（μM,D）中无限正交系的存在性,及由M=（2 b 0 2）,b∈Z,D={（00）,（10）,（01）,（k1k2）}决定的μM,D是否是谱测度. 更多还原
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| 关 键 词： | 吸引子 自仿测度 谱测度 标准数字集 |
The discussion of the spectral measure on certain digit sets in the planar |
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| ZHANG Yu-Qin
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LI Jun-li.The discussion of the spectral measure on certain digit sets in the planar[J].Basic Sciences Journal of Textile Universities,2012,25(1):67-70,82. |
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| Authors: | ZHANG Yu-Qin LI Jun-li |
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| Affiliation: | (College of Mathematics and Information Science,Shaanxi Normal University,Xi′an 710062,China) |
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| Abstract: | The existence of infinite orthogonal exponential functions for the space L2(μM,D) determined by the integer expanding matrix M=abdc],det(M)=ac-bd∈2Z and the digit set D={(00),(m0),(nk1),(lk2)}(m≠0,n,l∈Ζ,k1,k2∈2Ζ+1) are discussed.In addition,whether or not μM,D is spectral measure determined by the matrix M=(2b02),b∈Z and the digit set D={(00),(10),(01),(k1k2)} are discussed as well. |
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| Keywords: | attractor self-affine measure spectral measure standard digit set |
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