On one result of J. Bourgain

In a linear space of dimension $n$ over the field $\mathbb{F}_2$, we construct a set $A$ of given density such that the Fourier transform of $A$ is large on a large set, and the intersection of $A$ with any subspace of small dimension is small. The results obtained show, in a certain sense, the shar...

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Bibliographic Details
Date:2010
Main Authors: Konyagin, S. V., Shkredov, I. D., Конягин, С. В., Шкредов, И. Д.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2872
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal