On one result of J. Bourgain

• Datum: 2010
• Hauptverfasser: Konyagin, S. V., Shkredov, I. D., Конягин, С. В., Шкредов, И. Д.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2872
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...