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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 3, Pages 813–829 (Mi fpm507)  

This article is cited in 1 scientific paper (total in 1 paper)

On convergence of generalized systems similar to orthogonal ones

T. P. Lukashenko, T. V. Rodionov

M. V. Lomonosov Moscow State University
Full-text PDF (620 kB) Citations (1)
Abstract: For generalized expansion systems similar to orthogonal ones the analogs of the following properties of orthogonal systems are proved: Paley–Zygmund theorem on almost everywhere convergence under almost all orders of signs, Garsia theorem on existence of almost everywhere convergent rearrangement of series terms, Orlicz and Tandori theorems on unconditional convergence.
Received: 01.12.1999
Bibliographic databases:
UDC: 517.518+517.982
Language: Russian
Citation: T. P. Lukashenko, T. V. Rodionov, “On convergence of generalized systems similar to orthogonal ones”, Fundam. Prikl. Mat., 6:3 (2000), 813–829
Citation in format AMSBIB
\Bibitem{LukRod00}
\by T.~P.~Lukashenko, T.~V.~Rodionov
\paper On convergence of generalized systems similar to orthogonal ones
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 3
\pages 813--829
\mathnet{http://mi.mathnet.ru/fpm507}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1801330}
\zmath{https://zbmath.org/?q=an:0980.42026}
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  • https://www.mathnet.ru/eng/fpm507
  • https://www.mathnet.ru/eng/fpm/v6/i3/p813
  • 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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