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Matematicheskie Zametki, 1977, Volume 21, Issue 2, Pages 187–197 (Mi mzm7945)  
On the uniqueness condition for the representation of functions by Walsh series

V. A. Skvortsov

M. V. Lomonosov Moscow State University
Full-text PDF (674 kB)
Abstract: We prove that if we consider a set of positive integers of a specific arithmetic nature, then a uniqueness theorem holds for the series with respect to the Walsh system with partial sums convergent with respect to a subsequence of numbers from this set.
Received: 18.06.1975
English version:
Mathematical Notes, 1977, Volume 21, Issue 2, Pages 105–111
DOI: https://doi.org/10.1007/BF02320549
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. A. Skvortsov, “On the uniqueness condition for the representation of functions by Walsh series”, Mat. Zametki, 21:2 (1977), 187–197; Math. Notes, 21:2 (1977), 105–111
Citation in format AMSBIB
\Bibitem{Skv77}
\by V.~A.~Skvortsov
\paper On the uniqueness condition for the representation of functions by Walsh series
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 2
\pages 187--197
\mathnet{http://mi.mathnet.ru/mzm7945}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487245}
\zmath{https://zbmath.org/?q=an:0359.42009|0352.42007}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 2
\pages 105--111
\crossref{https://doi.org/10.1007/BF02320549}
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