| 具有三个数字集的Cantor测度的谱特征值 |
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| 引用本文： | 李海雄,丁道新,吴新林.具有三个数字集的Cantor测度的谱特征值[J].华中师范大学学报(自然科学版),2020,54(1):1-4. |
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| 作者姓名： | 李海雄 丁道新 吴新林 |
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| 作者单位： | 湖北第二师范学院数学与经济学院， 武汉 430205 |
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| 摘 要： | 设μ3k是由迭代函数系统fd(x)＝3k(1)(x＋d)：d∈{0,1,2}所生成的自相似测度，该文首先利用Compatible对的概念， 给出了μ3k的一组谱Λ，然后重点刻画了正整数p， 使得pΛ也为μ3k的谱.
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| 关 键 词： | 自相似测度 谱测度 谱特征值 乘积谱 |
Spectral eigenvalue problems of Cantor measure with three-element digit sets |
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| LI Haixiong,DING Daoxin,WU Xinlin.Spectral eigenvalue problems of Cantor measure with three-element digit sets[J].Journal of Central China Normal University(Natural Sciences),2020,54(1):1-4. |
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| Authors: | LI Haixiong DING Daoxin WU Xinlin |
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| Institution: | School of Mathematics and Quantitative Economics， Hubei University of Education， Wuhan 430205， China |
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| Abstract: | Let μ3k be a self-similar measure generated by the iterated function system fd(x)＝3k(1)(x＋d)d∈{0,1,2}. In this paper， according to the definition of compatible pair， a spectrum Λ of μ3k is given firstly. Next， we study some positive integers p such that pΛ is also a spectrum of μ3k. |
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| Keywords: | self-similar measures spectral measures spectral eigenvalue multiple spectra |
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