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Izvestiya: Mathematics, 2001, Volume 65, Issue 2, Pages 389–402
DOI: https://doi.org/10.1070/im2001v065n02ABEH000331 (Mi im331) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Function systems obtained using translates and dilates of a single function in the paces $E_\varphi$ with $\lim_{t\to\infty}\frac{\varphi(t)}t=0$

V. I. Filippov

Saratov State University named after N. G. Chernyshevsky
English version PDF (176 kB) Citations (9)
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DOI: https://doi.org/10.1070/im2001v065n02ABEH000331
Abstract: We solve Ul'yanov's problem [1] of representing elements of class $\varphi(L)$ as series with respect to arbitrary function systems.
Received: 13.05.1999
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 2, Pages 187–200
DOI: https://doi.org/10.4213/im331
Bibliographic databases:
MSC: 41A30, 41A65, 42C10, 42C15, 46B15, 46T30
Language: English
Original paper language: Russian
Citation: V. I. Filippov, “Function systems obtained using translates and dilates of a single function in the paces $E_\varphi$ with $\lim_{t\to\infty}\frac{\varphi(t)}t=0$”, Izv. RAN. Ser. Mat., 65:2 (2001), 187–200; Izv. Math., 65:2 (2001), 389–402
Citation in format AMSBIB
\Bibitem{Fil01}
\by V.~I.~Filippov
\paper Function systems obtained using translates and dilates of a~single function in the paces~$E_\varphi$ with $\lim_{t\to\infty}\frac{\varphi(t)}t=0$
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 2
\pages 187--200
\mathnet{http://mi.mathnet.ru/im331}
\crossref{https://doi.org/10.4213/im331}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1842844}
\zmath{https://zbmath.org/?q=an:1032.42034}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 2
\pages 389--402
\crossref{https://doi.org/10.1070/im2001v065n02ABEH000331}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33645957033}
Linking options:
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  • https://doi.org/10.1070/im2001v065n02ABEH000331
  • https://www.mathnet.ru/eng/im/v65/i2/p187
    • This publication is cited in the following 9 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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    Abstract page:440
    Russian version PDF:198
    English version PDF:16
    References:56
    First page:1
     
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