Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 419-428
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N. L. Lebedeva. On the density of convergent subsequences of orthogonal series. Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 419-428. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a3/
@article{MZM_1969_5_4_a3,
author = {N. L. Lebedeva},
title = {On the density of convergent subsequences of orthogonal series},
journal = {Matemati\v{c}eskie zametki},
pages = {419--428},
year = {1969},
volume = {5},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a3/}
}
TY - JOUR
AU - N. L. Lebedeva
TI - On the density of convergent subsequences of orthogonal series
JO - Matematičeskie zametki
PY - 1969
SP - 419
EP - 428
VL - 5
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a3/
LA - ru
ID - MZM_1969_5_4_a3
ER -
%0 Journal Article
%A N. L. Lebedeva
%T On the density of convergent subsequences of orthogonal series
%J Matematičeskie zametki
%D 1969
%P 419-428
%V 5
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a3/
%G ru
%F MZM_1969_5_4_a3
A necessary and sufficient condition for $\omega(n)$ to be a Weyl factor for the existence, almost everywhere, of convergent subsequences of partial sums of an orthogonal series with upper density one is established.
