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Matematicheskie Zametki, 1969, Volume 5, Issue 4, Pages 419–428 (Mi mzm9474)  
On the density of convergent subsequences of orthogonal series

N. L. Lebedeva

Moscow Wood Technology Institute
Full-text PDF (931 kB)
Abstract: A necessary and sufficient condition for $\omega(n)$ to be a Weyl factor for the existence, almost everywhere, of convergent subsequences of partial sums of an orthogonal series with upper density one is established.
Received: 15.05.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 4, Pages 251–257
DOI: https://doi.org/10.1007/BF01410792
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. L. Lebedeva, “On the density of convergent subsequences of orthogonal series”, Mat. Zametki, 5:4 (1969), 419–428; Math. Notes, 5:4 (1969), 251–257
Citation in format AMSBIB
\Bibitem{Leb69}
\by N.~L.~Lebedeva
\paper On the density of convergent subsequences of orthogonal series
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 4
\pages 419--428
\mathnet{http://mi.mathnet.ru/mzm9474}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=251433}
\zmath{https://zbmath.org/?q=an:0181.07002}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 4
\pages 251--257
\crossref{https://doi.org/10.1007/BF01410792}
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