Cantor uniqueness and multiplicity along subsequences

2018/04/18 by Kozma, Gady, Olevskii, Alexander · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1804.06902

Abstract

We construct a trigonometric series converging to zero everywhere on a subsequence, with coefficients tending to zero. We show that any such series must satisfy that the subsequence is very sparse, and that the support of the related distribution is quite large.

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