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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 97, Pages 22–31 (Mi znsl3261)  
This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic behaviour of the Teoplitz determinant

M. S. Ginovyan
Full-text PDF (344 kB) Citations (1)
Abstract: The paper deals with asymptotic behaviour of the Teoplitz determinant $D_n(f)$ for nonnegative functions $f(\lambda)$, $\lambda\in[\pi,\pi]$ Under some conditions on function $f(\lambda)$ the asymptotic representation
$$ \ln\frac{D_n(f)}{[G(f)]^{n+1}}=0(n^{-\lambda}),\quad0<\alpha<1, $$
is obtained.
English version:
Journal of Soviet Mathematics, 1984, Volume 24, Issue 5, Pages 494–500
DOI: https://doi.org/10.1007/BF01702325
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: M. S. Ginovyan, “Asymptotic behaviour of the Teoplitz determinant”, Problems of the theory of probability distributions. Part VI, Zap. Nauchn. Sem. LOMI, 97, "Nauka", Leningrad. Otdel., Leningrad, 1980, 22–31; J. Soviet Math., 24:5 (1984), 494–500
Citation in format AMSBIB
\Bibitem{Gin80}
\by M.~S.~Ginovyan
\paper Asymptotic behaviour of the Teoplitz determinant
\inbook Problems of the theory of probability distributions. Part~VI
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 97
\pages 22--31
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3261}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=602358}
\zmath{https://zbmath.org/?q=an:0461.42009|0531.42002}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 5
\pages 494--500
\crossref{https://doi.org/10.1007/BF01702325}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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