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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 11, Pages 13–25 (Mi ivm8945)  

This article is cited in 4 scientific papers (total in 4 papers)

On approximation properties of one trigonometric system

B. V. Vinnitskii, V. N. Dilnyi

Chair of Mathematical Analysis, Drohobych State Pedagogical University, 3 Stryiska str., Drohobych, Lviv region, 82100 Ukraine
Full-text PDF (248 kB) Citations (4)
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Abstract: We obtain the criteria of completeness and minimality of a system. We also obtain an analog of the Paley–Wiener theorem related to this system.
Keywords: Paley–Wiener theorem, complete system, minimal system.
Received: 14.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2014, Volume 58, Issue 11, Pages 10–21
DOI: https://doi.org/10.3103/S1066369X14110024
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: B. V. Vinnitskii, V. N. Dilnyi, “On approximation properties of one trigonometric system”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 11, 13–25; Russian Math. (Iz. VUZ), 58:11 (2014), 10–21
Citation in format AMSBIB
\Bibitem{VinDil14}
\by B.~V.~Vinnitskii, V.~N.~Dilnyi
\paper On approximation properties of one trigonometric system
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2014
\issue 11
\pages 13--25
\mathnet{http://mi.mathnet.ru/ivm8945}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2014
\vol 58
\issue 11
\pages 10--21
\crossref{https://doi.org/10.3103/S1066369X14110024}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84910144238}
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  • https://www.mathnet.ru/eng/ivm8945
  • https://www.mathnet.ru/eng/ivm/y2014/i11/p13
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:192
    Full-text PDF :58
    References:46
    First page:11
     
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