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Izvestiya: Mathematics, 2021, Volume 85, Issue 2, Pages 241–261
DOI: https://doi.org/10.1070/IM8964 (Mi im8964) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Functions universal with respect to the trigonometric system

M. G. Grigoryan, L. N. Galoyan

Yerevan State University
English version PDF (540 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/IM8964
Abstract: We construct an integrable function whose Fourier series possesses the following property. After an appropriate choice of signs of the coefficients of this series, the partial sums of the resulting series are dense in $L^p$, $p\in(0,1)$.
Keywords: universal function, universal trigonometric series, Fourier series, convergence in $L^p$.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18T-1A148
This research was carried out with the financial support of the State Committee on Science MSE RA under grant no. 18T-1A148.
Received: 21.08.2019
Revised: 15.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.538
MSC: 42A16, 43A15
Language: English
Original paper language: Russian
Citation: M. G. Grigoryan, L. N. Galoyan, “Functions universal with respect to the trigonometric system”, Izv. Math., 85:2 (2021), 241–261
Citation in format AMSBIB
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\by M.~G.~Grigoryan, L.~N.~Galoyan
\paper Functions universal with respect to the trigonometric system
\jour Izv. Math.
\yr 2021
\vol 85
\issue 2
\pages 241--261
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\crossref{https://doi.org/10.1070/IM8964}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2021IzMat..85..241G}
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  • https://doi.org/10.1070/IM8964
  • https://www.mathnet.ru/eng/im/v85/i2/p73
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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