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Matematicheskie Zametki, 2014, Volume 95, Issue 6, Pages 884–898
DOI: https://doi.org/10.4213/mzm10353
(Mi mzm10353)
 

This article is cited in 1 scientific paper (total in 1 paper)

Bases of Exponentials in Weighted Spaces Generated by Zeros of the Fourier–Stieltjes Transform

S. S. Pukhov

M. V. Lomonosov Moscow State University
Full-text PDF (546 kB) Citations (1)
References:
Abstract: The system of exponentials generated by zeros of the Fourier–Stieltjes transform of a finite function with discontinuities at the ends of the support interval [a,a] is considered in the Lebesgue space on the interval (a,a) with weight in the form of a finite product of polynomial functions. A sufficient condition, which is unimprovable in a sense, is obtained for the basis property of such a system.
Keywords: system of exponentials, basis property, Fourier–Stieltjes transform, Riesz basis, Riesz property, Banach space.
Received: 09.07.2013
Revised: 24.11.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 6, Pages 820–832
DOI: https://doi.org/10.1134/S0001434614050277
Bibliographic databases:
Document Type: Article
UDC: 517.982.254
Language: Russian
Citation: S. S. Pukhov, “Bases of Exponentials in Weighted Spaces Generated by Zeros of the Fourier–Stieltjes Transform”, Mat. Zametki, 95:6 (2014), 884–898; Math. Notes, 95:6 (2014), 820–832
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm10353
  • https://www.mathnet.ru/eng/mzm/v95/i6/p884
  • This publication is cited in the following 1 articles:
    1. A. Sh. Shukurov, “On basicity of the degenerate trigonometric system with excess”, Acta Comment. Univ. Tartu. Math., 21:2 (2017), 249–257  crossref  mathscinet  zmath  isi  scopus
    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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    Abstract page:350
    Full-text PDF :167
    References:63
    First page:27
     
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