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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 170, Pages 274–284 (Mi znsl4465)  
This article is cited in 1 scientific paper (total in 2 paper)

On some results and problems in the theory of bases

P. L. Ul'yanov
Full-text PDF (561 kB) Citations (2)
Abstract: The survey touches on the following three themes: (1) the order of decay of Fourier coefficients with respect to some orthogonal systems; (2) the order of approximation of functions of a given class by partial sums of orthogonal series; (3) the lowest possible order of growth of degrees of polynomials, constituting a basis of $C(0,1)$. A discussion of the present state of some unsolved problem is included and some new ones are posed.
English version:
Journal of Soviet Mathematics, 1993, Volume 63, Issue 2, Pages 269–274
DOI: https://doi.org/10.1007/BF01099317
Bibliographic databases:
Document Type: Article
UDC: 517.85
Language: Russian
Citation: P. L. Ul'yanov, “On some results and problems in the theory of bases”, Investigations on linear operators and function theory. Part 17, Zap. Nauchn. Sem. LOMI, 170, "Nauka", Leningrad. Otdel., Leningrad, 1989, 274–284; J. Soviet Math., 63:2 (1993), 269–274
Citation in format AMSBIB
\Bibitem{Uly89}
\by P.~L.~Ul'yanov
\paper On some results and problems in the theory of bases
\inbook Investigations on linear operators and function theory. Part~17
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 170
\pages 274--284
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4465}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039584}
\zmath{https://zbmath.org/?q=an:0784.46014|0725.46014}
\transl
\jour J. Soviet Math.
\yr 1993
\vol 63
\issue 2
\pages 269--274
\crossref{https://doi.org/10.1007/BF01099317}
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    • 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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