Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2014, Volume 205, Issue 11, Pages 1620–1649
DOI: https://doi.org/10.1070/SM2014v205n11ABEH004431 (Mi sm8332) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Concentration of the $L_1$-norm of trigonometric polynomials and entire functions

Yu. V. Malykhina, K. S. Ryutinb

a Steklov Mathematical Institute of Russian Academy of Sciences
b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (673 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2014v205n11ABEH004431
Abstract: For any sufficiently large $n$, the minimal measure of a subset of $[-\pi,\pi]$ on which some nonzero trigonometric polynomial of order $\le n$ gains half of the $L_1$-norm is shown to be $\pi/(n+1)$. A similar result for entire functions of exponential type is established.
Bibliography: 13 titles.
Keywords: trigonometric polynomials, entire functions, extremal problems, $L_1$-norm.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00332
Received: 21.01.2014 and 03.07.2014
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 42A05
Language: English
Original paper language: Russian
Citation: Yu. V. Malykhin, K. S. Ryutin, “Concentration of the $L_1$-norm of trigonometric polynomials and entire functions”, Sb. Math., 205:11 (2014), 1620–1649
Citation in format AMSBIB
\Bibitem{MalRyu14}
\by Yu.~V.~Malykhin, K.~S.~Ryutin
\paper Concentration of the $L_1$-norm of trigonometric polynomials and entire functions
\jour Sb. Math.
\yr 2014
\vol 205
\issue 11
\pages 1620--1649
\mathnet{http://mi.mathnet.ru//eng/sm8332}
\crossref{https://doi.org/10.1070/SM2014v205n11ABEH004431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408642}
\zmath{https://zbmath.org/?q=an:06417740}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2014SbMat.205.1620M}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000348594700004}
\elib{https://elibrary.ru/item.asp?id=22834494}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84921771788}
Linking options:
  • https://www.mathnet.ru/eng/sm8332
  • https://doi.org/10.1070/SM2014v205n11ABEH004431
  • https://www.mathnet.ru/eng/sm/v205/i11/p95
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:706
    Russian version PDF:233
    English version PDF:38
    References:69
    First page:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024