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Algebra i Analiz, 2020, Volume 32, Issue 2, Pages 85–106 (Mi aa1691)  
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
Full-text PDF (289 kB) Citations (5)
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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.
Funding agency Grant number
Israel Science Foundation
Both authors were supported by their respective Israel Science Foundation grants.
Received: 03.01.2019
English version:
St. Petersburg Mathematical Journal, 2021, Volume 32, Issue 2, Pages 261–277
DOI: https://doi.org/10.1090/spmj/1647
Bibliographic databases:
Document Type: Article
MSC: 42A63
Language: English
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
Citation in format AMSBIB
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\by G.~Kozma, A.~M.~Olevski{\v\i}
\paper Cantor uniqueness and multiplicity along subsequences
\jour Algebra i Analiz
\yr 2020
\vol 32
\issue 2
\pages 85--106
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\transl
\jour St. Petersburg Math. J.
\yr 2021
\vol 32
\issue 2
\pages 261--277
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :59
    References:54
    First page:31
     
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