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This article is cited in 5 scientific papers (total in 5 papers)
Research Papers
Cantor uniqueness and multiplicity along subsequences
G. Kozmaa, A. M. Olevskiĭb a Weizmann Institute of Science, Rehovot, Israel
b Tel Aviv University
Abstract:
We construct a sequence $ c_{l}\to 0$ such that the trigonometric series $ \sum c_{l}e^{ilx}$ converges to zero everywhere on a subsequence $ n_{k}$. We show, for any such series, that the $ n_{k}$ must be very sparse, and that the support of the related distribution must be quite large.
Keywords:
trigonometric series, localization principle, uniqueness.
Received: 03.01.2019
Citation:
G. Kozma, A. M. Olevskiǐ, “Cantor uniqueness and multiplicity along subsequences”, Algebra i Analiz, 32:2 (2020), 85–106; St. Petersburg Math. J., 32:2 (2021), 261–277
Linking options:
https://www.mathnet.ru/eng/aa1691 https://www.mathnet.ru/eng/aa/v32/i2/p85
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Abstract page: | 263 | Full-text PDF : | 59 | References: | 54 | First page: | 31 |
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