K. I. Oskolkov, “A subsequence of Fourier sums of integrable functions”, Current problems in mathematics. Mathematical analysis, algebra, topology, Collection of articles. Dedicated to academician L. S. Pontryagin on the occasion of his 75th birthday, Trudy Mat. Inst. Steklov., 167, 1985, 239–260; Proc. Steklov Inst. Math., 167 (1986), 267

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Trudy Matematicheskogo Instituta im. V. A. Steklova, 1985, Volume 167, Pages 239–260 (Mi tm2245)

This article is cited in 13 scientific papers (total in 13 papers)

A subsequence of Fourier sums of integrable functions

K. I. Oskolkov

Full-text PDF (2241 kB) Citations (13)

Bibliographic databases:

UDC: 517.5

Language: Russian

Citation: K. I. Oskolkov, “A subsequence of Fourier sums of integrable functions”, Current problems in mathematics. Mathematical analysis, algebra, topology, Collection of articles. Dedicated to academician L. S. Pontryagin on the occasion of his 75th birthday, Trudy Mat. Inst. Steklov., 167, 1985, 239–260; Proc. Steklov Inst. Math., 167 (1986), 267–290

Citation in format AMSBIB

\Bibitem{Osk85}

\by K.~I.~Oskolkov

\paper A~subsequence of Fourier sums of integrable functions

\inbook Current problems in mathematics. Mathematical analysis, algebra, topology

\bookinfo Collection of articles. Dedicated to academician L.\,S.~Pontryagin on the occasion of his 75th birthday

\serial Trudy Mat. Inst. Steklov.

\yr 1985

\vol 167

\pages 239--260

\mathnet{http://mi.mathnet.ru/tm2245}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=804079}

\zmath{https://zbmath.org/?q=an:0572.42006|0615.42004}

\transl

\jour Proc. Steklov Inst. Math.

\yr 1986

\vol 167

\pages 267--290

Linking options:

https://www.mathnet.ru/eng/tm2245

https://www.mathnet.ru/eng/tm/v167/p239

This publication is cited in the following 13 articles:

G. A. Karagulyan, H. Mkoyan, “An exponential estimate for the cubic partial sums of multiple Fourier series”, Izv. Math., 83:2 (2019), 273–286
N. Yu. Antonov, “Growth estimates for arbitrary sequences of multiple rectangular Fourier sums”, Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 1–8
N. Yu. Antonov, “Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions”, J. Math. Sci., 209:1 (2015), 1–11
N. Yu. Antonov, “O poryadke rosta posledovatelnostei dvoinykh pryamougolnykh summ Fure funktsii iz klassov $\varphi(L)$ ”, Tr. IMM UrO RAN, 18, no. 4, 2012, 26–34
N. Yu. Antonov, “Note on estimates for the growth order of sequences of multiple rectangular Fourier sums”, Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 4–8
N. Yu. Antonov, “On the growth rate of arbitrary sequences of double rectangular Fourier sums”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S14–S20
S. V. Konyagin, “Almost everywhere divergence of lacunary subsequences of partial sums of Fourier series”, Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S99–S106
N. Yu. Antonov, “Almost Everywhere Divergent Subsequences of Fourier Sums of Functions from $\varphi(L)\cap H_1^\omega$ ”, Math. Notes, 85:4 (2009), 484–495
N. Yu. Antonov, “Growth rate of sequences of multiple rectangular Fourier sums”, Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 2, S9–S29
S. V. Konyagin, “On everywhere divergence of trigonometric Fourier series”, Sb. Math., 191:1 (2000), 97–120
G. A. Karagulian, “Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series”, Sb. Math., 187:3 (1996), 365–384
G. A. Karagulian, “On the order of growth $o(\log\log n)$ of the partial sums of Fourier–Stieltjes series of random measures”, Russian Acad. Sci. Sb. Math., 78:1 (1994), 11–33
G. I. Arkhipov, K. I. Oskolkov, “On a special trigonometric series and its applications”, Math. USSR-Sb., 62:1 (1989), 145–155

Citing articles in Google Scholar: Russian citations, English citations
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Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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