On the uniqueness condition for the representation of functions by Walsh series

V. A. Skvortsov

M. V. Lomonosov Moscow State University

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.

UDC: 517.5

Received: 18.06.1975

 English version: Mathematical Notes, 1977, 21:2, 105–111

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