Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 609-616
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Sh. A. Alimov. Expandibility in eigenfunctions of the Laplacian in a two-dimension region. Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 609-616. http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a0/
@article{MZM_1971_9_6_a0,
author = {Sh. A. Alimov},
title = {Expandibility in eigenfunctions of the {Laplacian} in a~two-dimension region},
journal = {Matemati\v{c}eskie zametki},
pages = {609--616},
year = {1971},
volume = {9},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a0/}
}
TY - JOUR
AU - Sh. A. Alimov
TI - Expandibility in eigenfunctions of the Laplacian in a two-dimension region
JO - Matematičeskie zametki
PY - 1971
SP - 609
EP - 616
VL - 9
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a0/
LA - ru
ID - MZM_1971_9_6_a0
ER -
%0 Journal Article
%A Sh. A. Alimov
%T Expandibility in eigenfunctions of the Laplacian in a two-dimension region
%J Matematičeskie zametki
%D 1971
%P 609-616
%V 9
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a0/
%G ru
%F MZM_1971_9_6_a0
The convergence is established of the expansion of functions of $H_p^\alpha$ not satisfying any boundary conditions, in Fourier series with respect to a fundamental system of functions of the Laplace operator in any two-dimensional region with a rectifiable boundary.
