Beurling dimension and self-similar measures

被引：14
|
作者：
He, Xing-Gang [1 ,2 ]
Kang, Qing-can [1 ]
Tang, Min-wei [1 ]
Wu, Zhi-Yi [1 ]
机构：
[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
[2] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Hubei, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2018年 / 274卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Beurling dimension; Fourier-Bessel measure; Fourier-frame; Hausdorff dimension; ITERATED FUNCTION SYSTEMS; CANTOR MEASURES; FRAMES;
D O I：
10.1016/j.jfa.2017.08.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the authors study the Beurling dimension of Bessel sets and frame spectra of some self-similar measures on R-d and obtain their exact upper bound of the dimensions, which is the same given by Dutkay et al. (2011) [8]. The upper bound is attained in usual cases and some examples are given to explain our theory. (C) 2017 Published by Elsevier Inc.
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页码：2245 / 2264
页数：20
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