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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
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.
DOI:
https://doi.org/10.4213/mzm10353
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English version:
Mathematical Notes, 2014, 95:6, 820–832
Bibliographic databases:
UDC:
517.982.254 Received: 09.07.2013 Revised: 24.11.2013
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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http://mi.mathnet.ru/eng/mz10353https://doi.org/10.4213/mzm10353 http://mi.mathnet.ru/eng/mz/v95/i6/p884
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This publication is cited in the following articles:
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A. Sh. Shukurov, “On basicity of the degenerate trigonometric system with excess”, Acta Comment. Univ. Tartu. Math., 21:2 (2017), 249–257
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