Zapiski Nauchnykh Seminarov LOMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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}
Linking options:
  • https://www.mathnet.ru/eng/znsl3261
  • https://www.mathnet.ru/eng/znsl/v97/p22
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:126
    Full-text PDF :55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024