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Self-similar measures with product-form digit sets and their spectra

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成果类型:
期刊论文
作者:
Lu, Jian-Feng;Wang, Shi;Zhang, Min-Min
通讯作者:
Zhang, MM
作者机构:
[Zhang, Min-Min; Zhang, MM; Lu, Jian-Feng] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Zhang, Min-Min; Zhang, MM; Lu, Jian-Feng] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
[Wang, Shi] Hu Bei Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
[Wang, Shi] Hu Bei Univ, Hubei Key Lab Appl Math, Wuhan 430079, Peoples R China.
通讯机构:
[Zhang, MM ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Product-form digit set;Fourier transform;Orthogonal basis;Spectral measure;Scaling spectra
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2023
卷:
527
期:
1
页码:
127340
基金类别:
National Natural Science Foundation of China [11271148]
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
Let t >= 2 be an integer and p, q be two prime numbers, D =E-p circle plus (pq)l-1p Eq be a product-form digit set with l >= 1. Let mu t,D be the self-similar measure generated by the pair (t, D). It is known that Fu et al. [4,17] characterized the spectrality of mu t,D. In this paper, given a spectrum ? of mu t,D, we study some integers b such that b is also a spectrum of m...

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