Explicit Salem sets in R2

被引：10

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

页码：634 / 648

页数：15

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