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Matematicheskie Zametki, 2007, Volume 81, Issue 5, Pages 707–712
DOI: https://doi.org/10.4213/mzm3714 (Mi mzm3714) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Completeness of the Trigonometric System for the Classes φ(L)

Yu. S. Kolomoitsev

Donetsk National University
Full-text PDF (461 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm3714
Abstract: We obtain a necessary and sufficient condition for the completeness of the trigonometric system with gaps for the classes φ(L).
Keywords: trigonometric system with gaps, 2π-periodic function, Jensen's inequality, trigonometric polynomial, Parseval's equality, Riesz–Fischer theorem.
Received: 24.01.2006
Revised: 05.10.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 5, Pages 632–637
DOI: https://doi.org/10.1134/S0001434607050082
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: Yu. S. Kolomoitsev, “Completeness of the Trigonometric System for the Classes φ(L)”, Mat. Zametki, 81:5 (2007), 707–712; Math. Notes, 81:5 (2007), 632–637
Citation in format AMSBIB
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\paper Completeness of the Trigonometric System for the Classes~$\varphi(L)$
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\pages 707--712
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  • https://www.mathnet.ru/eng/mzm3714
  • https://doi.org/10.4213/mzm3714
  • https://www.mathnet.ru/eng/mzm/v81/i5/p707
    • This publication is cited in the following 1 articles:
    1. Yu. S. Kolomoitsev, “On approximation of functions by trigonometric polynomials with incomplete spectrum in Lp, 0<p<1”, J. Math. Sci. (N. Y.), 165:4 (2010), 463–472  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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