| Bernoulli卷积测度的谱性质 |
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| 引用本文： | 张宇.Bernoulli卷积测度的谱性质[J].纺织高校基础科学学报,2011,24(2):231-233. |
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| 作者姓名： | 张宇 |
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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： | 通过考虑2个函数,τb1（x）=λ（x-b1）,τb2（x）=λ（x＋b2）,B={b1,b2},λ∈（0,1）,研究由Bernoulli迭代函数系产生的吸引子的卷积测度的某种谱的性质,给出了当λ∈（1/2,1）∩Q时,谱测度γλ的Fourier变换的性质以及一些条件下集合Λr的正交性.
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| 关 键 词： | 迭代函数系 正交集 谱测度 |
Spectral property of the Bernoulli convolutions |
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| ZHANG Yu.Spectral property of the Bernoulli convolutions[J].Basic Sciences Journal of Textile Universities,2011,24(2):231-233. |
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| Authors: | ZHANG Yu |
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| Affiliation: | ZHANG Yu(College of Mathematics and Information Sciences,Shaanxi Normal University,Xi'an 710062,China) |
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| Abstract: | Certain spectral properties of the Bernoulli convolution measures which arise from affine iterated function systems on R,two functions: τb2(x) = λ(x + b2),τb1(x) = λ(x-b1) B = { b1,b2} λ ∈(0,1) were considered,some Fourier transform properties of γλ and the orthogonally of Λr were given in the case of λ∈(1/2,1) ∩Q. |
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| Keywords: | iterated function systems orthogonal set spectral measure |
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