This article is cited in 2 papers

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

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 $[0,1]$.

UDC: 517.5

Received: 19.03.1968

 English version: Mathematical Notes, 1968, 4:6, 913–917

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