Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 27-32
Citer cet article
V. A. Skvortsov. On the uniqueness of a Walsh series converging on subsequences of partial sum. Matematičeskie zametki, Tome 16 (1974) no. 1, pp. 27-32. http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a2/
@article{MZM_1974_16_1_a2,
author = {V. A. Skvortsov},
title = {On the uniqueness of a {Walsh} series converging on subsequences of partial sum},
journal = {Matemati\v{c}eskie zametki},
pages = {27--32},
year = {1974},
volume = {16},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a2/}
}
TY - JOUR
AU - V. A. Skvortsov
TI - On the uniqueness of a Walsh series converging on subsequences of partial sum
JO - Matematičeskie zametki
PY - 1974
SP - 27
EP - 32
VL - 16
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a2/
LA - ru
ID - MZM_1974_16_1_a2
ER -
%0 Journal Article
%A V. A. Skvortsov
%T On the uniqueness of a Walsh series converging on subsequences of partial sum
%J Matematičeskie zametki
%D 1974
%P 27-32
%V 16
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1974_16_1_a2/
%G ru
%F MZM_1974_16_1_a2
We show that if a Walsh series whose coefficients tend towards zero is such that the subsequence of its partial sums indexed by $n_k$, where $n_k$ satisfies the condition $2^{k-1}, tends everywhere, except possibly for a denumerable set, towards a bounded function $f(x)$, then this series is the Fourier series of the function $f(x)$.
