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Mathematics of the USSR-Sbornik, 1980, Volume 36, Issue 4, Pages 549–575
DOI: https://doi.org/10.1070/SM1980v036n04ABEH001864 (Mi sm2343) 		 
This article is cited in 22 scientific papers (total in 22 papers)

On Steklov's conjecture in the theory of orthogonal polynomials

E. A. Rakhmanov
English version PDF (1294 kB) Citations (22)
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DOI: https://doi.org/10.1070/SM1980v036n04ABEH001864
Abstract: This paper constructs an example of a weight function $\rho(x)$ on the interval $[-1, 1]$, such that $\rho(x)\geqslant\delta > 0$, $x\in[-1, 1]$, whereas the corresponding sequence of orthonormal polynomials is unbounded at $0$.
Bibliography: 6 titles.
Received: 10.10.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 108(150), Number 4, Pages 581–608
Bibliographic databases:
UDC: 517.5
MSC: 42C05
Language: English
Original paper language: Russian
Citation: E. A. Rakhmanov, “On Steklov's conjecture in the theory of orthogonal polynomials”, Mat. Sb. (N.S.), 108(150):4 (1979), 581–608; Math. USSR-Sb., 36:4 (1980), 549–575
Citation in format AMSBIB
\Bibitem{Rak79}
\by E.~A.~Rakhmanov
\paper On Steklov's conjecture in the theory of orthogonal polynomials
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 108(150)
\issue 4
\pages 581--608
\mathnet{http://mi.mathnet.ru/sm2343}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=534610}
\zmath{https://zbmath.org/?q=an:0452.33012}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 36
\issue 4
\pages 549--575
\crossref{https://doi.org/10.1070/SM1980v036n04ABEH001864}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM97000007}
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  • https://doi.org/10.1070/SM1980v036n04ABEH001864
  • https://www.mathnet.ru/eng/sm/v150/i4/p581
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:420
    Russian version PDF:160
    English version PDF:8
    References:49
     
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