Spectral property of certain fractal measures

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:451

Article

Ding, Dao-Xin¹ 

[1] Hubei Univ Educ, Dept Math, Wuhan 430205, Peoples R China

关键词: Infinite convolution;    Compatible pair;    Spectral measure;    Spectra;   

DOI  :  10.1016/j.jmaa.2017.02.040

来源: Elsevier

【 摘 要 】

Let {0, a(j,) b(j)} = {0, 1, 2}(mod 3) be a sequence of digit sets in Z, and let {Ni = 3r(j)} be a sequence of integers bigger than 1. We call {f(j,d)(x) = N-j(-1)(x + d) : d is an element of {0,a(j),b(j)}}(j=0)(infinity) a Moran iterated function system, which is a generalisation of an IFS. We prove that the associated Moran measure is spectral. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free