I. A. Ibragimov, “On a theorem of G. Szegö”, Mat. Zametki, 3:6 (1968), 693–702; Math. Notes, 3:6 (1968), 442

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Matematicheskie Zametki, 1968, Volume 3, Issue 6, Pages 693–702 (Mi mzm6730)

This article is cited in 9 scientific papers (total in 10 papers)

On a theorem of G. Szegö

I. A. Ibragimov

Leningrad State University named after A. A. Zhdanov

Full-text PDF (599 kB) Citations (10)

Abstract: It is shown that the precise result of G. Szegö on the asymptotic behavior of the Toeplitz determinants

D_{n} (f)

$D_n(f)$ , generated by the nonnegative summable function of

f (λ)

$f(\lambda)$ holds if

\ln f \in L_{1} (- π, π)

$\ln f\in L_1(-\pi,\pi)$ .

Received: 11.09.1967

English version:
Mathematical Notes, 1968, Volume 3, Issue 6, Pages 442–448
DOI: https://doi.org/10.1007/BF01110603

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: I. A. Ibragimov, “On a theorem of G. Szegö”, Mat. Zametki, 3:6 (1968), 693–702; Math. Notes, 3:6 (1968), 442–448

Citation in format AMSBIB

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\by I.~A.~Ibragimov

\paper On a~theorem of G.~Szeg\"o

\jour Mat. Zametki

\yr 1968

\vol 3

\issue 6

\pages 693--702

\mathnet{http://mi.mathnet.ru/mzm6730}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=231114}

\zmath{https://zbmath.org/?q=an:0186.12201}

\transl

\jour Math. Notes

\yr 1968

\vol 3

\issue 6

\pages 442--448

\crossref{https://doi.org/10.1007/BF01110603}

Linking options:

https://www.mathnet.ru/eng/mzm6730

https://www.mathnet.ru/eng/mzm/v3/i6/p693

This publication is cited in the following 10 articles:

Alexander Bufetov, “The expectation of a multiplicative functional under the sine-process”, Funct. Anal. Appl., 58:2 (2024), 120–128
A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Russian Math. Surveys, 78:3 (2023), 573–583
Filiberto Ares, M. A. Rajabpour, Jacopo Viti, “Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain”, Phys. Rev. E, 103:4 (2021)
Filiberto Ares, José G Esteve, Fernando Falceto, Zoltán Zimborás, “Sublogarithmic behaviour of the entanglement entropy in fermionic chains”, J. Stat. Mech., 2019:9 (2019), 093105
Vincent Beaud, Julian Sieber, Simone Warzel, “Bounds on the bipartite entanglement entropy for oscillator systems with or without disorder”, J. Phys. A: Math. Theor., 52:23 (2019), 235202
J. Math. Sci. (N. Y.), 219:5 (2016), 714–730
V. S. Vladimirov, I. V. Volovich, “A statistical physics model”, Theoret. and Math. Phys., 54:1 (1983), 1–12
I. Yu. Linnik, “A multidimensional analog of a limit theorem of G. Szegö”, Math. USSR-Izv., 9:6 (1975), 1323–1332
Ya. L. Geronimus, “G. Szegö's limit relation and properties of the corresponding orthogonal polynomials”, Math. USSR-Izv., 7:5 (1973), 1185–1198
B. L. Golinskii, I. A. Ibragimov, “On Szegö's limit theorem”, Math. USSR-Izv., 5:2 (1971), 421–444

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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