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Matematicheskie Zametki, 1968, Volume 4, Issue 6, Pages 707–714 (Mi mzm6791)  
On the uniqueness of a Haar series that converges with respect to subsequences of partial sums

V. A. Skvortsov

M. V. Lomonosov Moscow State University
Full-text PDF (633 kB)
Abstract: We prove the existence of two different series in the Haar system for which the subsequences of partial sums converge to the same $D$-integrable function everywhere on $[0,1]$.
Received: 19.03.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 6, Pages 913–917
DOI: https://doi.org/10.1007/BF01110828
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Skvortsov, “On the uniqueness of a Haar series that converges with respect to subsequences of partial sums”, Mat. Zametki, 4:6 (1968), 707–714; Math. Notes, 4:6 (1968), 913–917
Citation in format AMSBIB
\Bibitem{Skv68}
\by V.~A.~Skvortsov
\paper On the uniqueness of a~Haar series that converges with respect to subsequences of partial sums
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 6
\pages 707--714
\mathnet{http://mi.mathnet.ru/mzm6791}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=244700}
\zmath{https://zbmath.org/?q=an:0183.33404}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 6
\pages 913--917
\crossref{https://doi.org/10.1007/BF01110828}
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