Explicit Salem sets in Rn

被引：4
作者：
Fraser, Robert
Hambrook, Kyle
机构：
来源：
ADVANCES IN MATHEMATICS | 2023年 / 416卷
基金：
美国国家科学基金会;
关键词：
Fourier dimension; Diophantine approximation; Harmonic analysis; FOURIER DIMENSION;
D O I：
10.1016/j.aim.2023.108901
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct the first explicit (i.e., non-random) examples of Salem sets in R-n of arbitrary prescribed Hausdorff dimension. This completely resolves a problem proposed by Kahane more than 50 years ago. The construction is based on a form of Diophantine approximation in number fields.
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页数：23
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