Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 2, Pages 36–38 (Mi vmumm765)  

This article is cited in 2 scientific papers (total in 2 papers)

Short notes

Bases of exponents in weighted spaces $L^p(-\pi,\pi)$

A. A. Yukhimenko

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (214 kB) Citations (2)
Abstract: The system of exponents $\{e^{i\lambda_n t}\}_{n\in\mathbb{Z}}$ is considered in this article. A sufficient condition for a Riesz-property basis in the weighted space $L^p(-\pi,\pi)$ is obtained.
Key words: basis, Riesz basis, system of exponents, $1/4$-Kadets theorem.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00225a
Received: 20.02.2009
Bibliographic databases:
Document Type: Article
UDC: 517.547.2+517.538.2
Language: Russian
Citation: A. A. Yukhimenko, “Bases of exponents in weighted spaces $L^p(-\pi,\pi)$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 36–38
Citation in format AMSBIB
\Bibitem{Yuk10}
\by A.~A.~Yukhimenko
\paper Bases of exponents in weighted spaces $L^p(-\pi,\pi)$
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 2
\pages 36--38
\mathnet{http://mi.mathnet.ru/vmumm765}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2682353}
\zmath{https://zbmath.org/?q=an:1304.46029}
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  • https://www.mathnet.ru/eng/vmumm/y2010/i2/p36
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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