Cantor uniqueness and multiplicity along subsequences

ST PETERSBURG MATHEMATICAL JOURNAL（2018）

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摘要

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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关键词

Trigonometric series, localization principle, uniqueness

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