Matematičeskie zametki, Tome 6 (1969) no. 6, pp. 737-747
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A. M. Olevskii. On the extension of a sequence of functions to a complete orthonormal system. Matematičeskie zametki, Tome 6 (1969) no. 6, pp. 737-747. http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a9/
@article{MZM_1969_6_6_a9,
author = {A. M. Olevskii},
title = {On the extension of a~sequence of functions to a~complete orthonormal system},
journal = {Matemati\v{c}eskie zametki},
pages = {737--747},
year = {1969},
volume = {6},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a9/}
}
TY - JOUR
AU - A. M. Olevskii
TI - On the extension of a sequence of functions to a complete orthonormal system
JO - Matematičeskie zametki
PY - 1969
SP - 737
EP - 747
VL - 6
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a9/
LA - ru
ID - MZM_1969_6_6_a9
ER -
%0 Journal Article
%A A. M. Olevskii
%T On the extension of a sequence of functions to a complete orthonormal system
%J Matematičeskie zametki
%D 1969
%P 737-747
%V 6
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_6_a9/
%G ru
%F MZM_1969_6_6_a9
Necessary and sufficient conditions for extending a sequence of functions to a complete orthonormal system on a larger set are indicated. As an application of the extension problem, a description of the space of coefficients of orthogonal series in a complete bounded system, converging on sets of positive measure, is given.
