Spectral property of certain fractal measures

被引：9

作者：

Ding, Dao-Xin ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 451卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Infinite convolution; Compatible pair; Spectral measure; Spectra; MOCK FOURIER-SERIES; CANTOR MEASURES; MORAN MEASURES; CONVOLUTIONS;

D O I：

10.1016/j.jmaa.2017.02.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：623 / 628

页数：6

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