This article is cited in 3 papers

Example of a Walsh series with a subsequence of partial sums converging everywhere to zero

V. A. Skvortsov


Abstract: An example is constructed of a Walsh series whose coefficients tend to zero, some subsequence of partial sums of which converges to zero but not all coefficients of which are zero.
Bibliography: 4 titles.

UDC: 517.522

MSC: Primary 42A56; Secondary 42A20

Received: 11.12.1974

 English version: Mathematics of the USSR-Sbornik, 1975, 26:4, 471–491

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