Explicit Salem sets in R2

被引：11
|
作者：
Hambrook, Kyle [1 ]
机构：
[1] Univ Rochester, Dept Math, Rochester, NY 14627 USA
来源：
ADVANCES IN MATHEMATICS | 2017年 / 311卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hausdorff dimension; Fourier dimension; Salem sets; FOURIER DIMENSION; THEOREM; CONSTRUCTION;
D O I：
10.1016/j.aim.2017.03.009
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct explicit (i.e., non-random) examples of Salem sets in R-2 of dimension s for every 0 <= s <= 2. In particular, we give the first explicit examples of Salem sets in R-2 of dimension 0 < s < 1. This extends a theorem of Kaufman. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：634 / 648
页数：15
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