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Matematicheskie Zametki, 1974, Volume 15, Issue 6, Pages 847–855 (Mi mzm7414)  
This article is cited in 2 scientific papers (total in 2 papers)

On two basic conditions for the asymptotic representation of polynomials orthonormal on the unit circle

B. L. Golinskii

Khar'kov Aviation Institute
Full-text PDF (455 kB) Citations (2)
Abstract: In this paper we prove that the two basic conditions for the existence of an asymptotic representation of polynomials orthonormal on the unit circle, namely, the condition of G. Szegö and S. N. Bernshtein, expressed in terms of a weight function, and the condition of Ya. I. Geronimus, expressed in terms of a parameter of the orthonormal polynomials, are independent of each other.
Received: 11.06.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 6, Pages 508–513
DOI: https://doi.org/10.1007/BF01152825
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: B. L. Golinskii, “On two basic conditions for the asymptotic representation of polynomials orthonormal on the unit circle”, Mat. Zametki, 15:6 (1974), 847–855; Math. Notes, 15:6 (1974), 508–513
Citation in format AMSBIB
\Bibitem{Gol74}
\by B.~L.~Golinskii
\paper On two basic conditions for the asymptotic representation of polynomials orthonormal on the unit circle
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 6
\pages 847--855
\mathnet{http://mi.mathnet.ru/mzm7414}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=350301}
\zmath{https://zbmath.org/?q=an:0304.42017|0299.42011}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 6
\pages 508--513
\crossref{https://doi.org/10.1007/BF01152825}
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  • https://www.mathnet.ru/eng/mzm/v15/i6/p847
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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