Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 627-634
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F. S. Lisin. Relation between approximations in the mean for analytic and for harmonic functions. Matematičeskie zametki, Tome 10 (1971) no. 6, pp. 627-634. http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a3/
@article{MZM_1971_10_6_a3,
author = {F. S. Lisin},
title = {Relation between approximations in the mean for analytic and for harmonic functions},
journal = {Matemati\v{c}eskie zametki},
pages = {627--634},
year = {1971},
volume = {10},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a3/}
}
TY - JOUR
AU - F. S. Lisin
TI - Relation between approximations in the mean for analytic and for harmonic functions
JO - Matematičeskie zametki
PY - 1971
SP - 627
EP - 634
VL - 10
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a3/
LA - ru
ID - MZM_1971_10_6_a3
ER -
%0 Journal Article
%A F. S. Lisin
%T Relation between approximations in the mean for analytic and for harmonic functions
%J Matematičeskie zametki
%D 1971
%P 627-634
%V 10
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1971_10_6_a3/
%G ru
%F MZM_1971_10_6_a3
It is shown that the completeness of the analytic polynomials always follows from the completeness of the harmonic polynomials in the case of mean-square weighted approximation over a bounded region.
