Algebra i Analiz
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra i Analiz:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{KozOle20}
\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
\mathnet{http://mi.mathnet.ru/aa1691}
\transl
\jour St. Petersburg Math. J.
\yr 2021
\vol 32
\issue 2
\pages 261--277
\crossref{https://doi.org/10.1090/spmj/1647}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000626332600004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85102837142}
Linking options:
  • https://www.mathnet.ru/eng/aa1691
  • https://www.mathnet.ru/eng/aa/v32/i2/p85
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
    Statistics & downloads:
    Abstract page:272
    Full-text PDF :61
    References:55
    First page:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025