Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2014, Number 2, Pages 52–55 (Mi vmumm309)  

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

Short notes

Complete and incomplete systems of exponentials in spaces with a power weight on a half-line

A. M. Sedletskii

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (243 kB) Citations (2)
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Abstract: We essentially widen the class of sequences $\lambda_n$ for which the completeness (non-completeness) of system of exponentials $e^{-\lambda_nt},~{\rm Re}\lambda_n>0$ is proved in the spaces $L^p(\mathbb{R}_+,t^\alpha dt),~\alpha>-1$. The proof uses the invariance of completeness relative to the change of the weight $t^\alpha$ by the weight $(1+t)^\alpha$; this fact is also proved here.
Key words: system of exponentials, completeness, weight space, convolution of functions.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00281-а
Received: 07.02.2013
English version:
Moscow University Mathematics Bulletin, 2014, Volume 69, Issue 2, Pages 73–76
DOI: https://doi.org/10.3103/S0027132214020053
Bibliographic databases:
Document Type: Article
UDC: 517.518.32
Language: Russian
Citation: A. M. Sedletskii, “Complete and incomplete systems of exponentials in spaces with a power weight on a half-line”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2, 52–55; Moscow University Mathematics Bulletin, 69:2 (2014), 73–76
Citation in format AMSBIB
\Bibitem{Sed14}
\by A.~M.~Sedletskii
\paper Complete and incomplete systems of exponentials in spaces with a power weight on a half-line
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2014
\issue 2
\pages 52--55
\mathnet{http://mi.mathnet.ru/vmumm309}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2014
\vol 69
\issue 2
\pages 73--76
\crossref{https://doi.org/10.3103/S0027132214020053}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84899843105}
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  • https://www.mathnet.ru/eng/vmumm/y2014/i2/p52
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :48
    References:32
     
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