Bohr Sets in Triple Products of Large Sets in Amenable Groups

被引：3

作者：

Bjorklund, Michael ^{[1
]}

Griesmer, John T. ^{[2
]}

机构：

[1] Chalmers, Dept Math, Gothenburg, Sweden

[2] Colorado Sch Mines, Dept Appl Math & Stat, Golden, CO 80401 USA

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2019年 / 25卷 / 03期

关键词：

Bohr sets; Densities; Measurable recurrence;

D O I：

10.1007/s00041-018-9615-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We answer a question of Hegyvari and Ruzsa concerning effective estimates of the Bohr-regularity of certain triple sums of sets with positive upper Banach densities in the integers. Our proof also works for any discrete amenable group, and it does not require all addends in the triple products we consider to have positive (left) upper Banach densities; one of the addends is allowed to only have positive upper asymptotic density with respect to a (possibly very sparse) ergodic sequence.

引用

页码：923 / 936

页数：14

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