Spectrality of Moran measures with four-element digit sets
Spectrality of Moran measures with four-element digit sets
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DOI：
10.1016/j.jmaa.2018.01.018
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发表时间：
2018-05
影响因子：
1.3
通讯作者：
M. Tang;FENG-LI Yin
中科院分区：
文献类型：
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作者：
M. Tang;FENG-LI Yin
Abstract Let δ E= 1# E∑ a∈ E δ a denote the uniformly discrete probability measure on a finite set E. We prove that the infinite convolution (Moran measure) μ b,{D k}= δ b− 1 D 1⁎ δ b− 2 D 2⁎⋯ admits an orthonormal basis of exponential provided that {D k} k= 1∞ is a uniformly bounded sequence of 4-digit spectral sets, b= 2 l+ 1 q with q> 1 an odd integer, and l sufficiently large (depends on D k). We also give some examples to illustrate the result.
