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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 5, Pages 209–216 (Mi fpm1550)  
This article is cited in 1 scientific paper (total in 1 paper)

Series formed by the moduli of blocks of terms of trigonometric series. A survey

S. A. Telyakovskii

Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
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Abstract: This paper presents a survey of results on properties of series composed of the moduli of blocks of trigonometric series. The following questions are addressed: convergence, uniform convergence, and membership of the sum of series to $L_p$ and to weighted $L_p$ spaces. First results in this area pertaining to similar series for the Walsh system are put forward.
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 1, Pages 152–158
DOI: https://doi.org/10.1007/s10958-015-2492-4
Bibliographic databases:
Document Type: Article
UDC: 517.518.4
Language: Russian
Citation: S. A. Telyakovskii, “Series formed by the moduli of blocks of terms of trigonometric series. A survey”, Fundam. Prikl. Mat., 18:5 (2013), 209–216; J. Math. Sci., 209:1 (2015), 152–158
Citation in format AMSBIB
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\by S.~A.~Telyakovskii
\paper Series formed by the moduli of blocks of terms of trigonometric series. A~survey
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 5
\pages 209--216
\mathnet{http://mi.mathnet.ru/fpm1550}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431853}
\elib{https://elibrary.ru/item.asp?id=23612781}
\transl
\jour J. Math. Sci.
\yr 2015
\vol 209
\issue 1
\pages 152--158
\crossref{https://doi.org/10.1007/s10958-015-2492-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84937157482}
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  • https://www.mathnet.ru/eng/fpm/v18/i5/p209
    • 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
    		Фундаментальная и прикладная математика
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