The multipoint de la Vall\'ee-Poussin problem for a~convolution operator
Sbornik. Mathematics, Tome 203 (2012) no. 2, pp. 224-233
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Conditions are discovered which ensure that the space of entire functions can be represented as the sum of an ideal in the space of entire functions and the kernel of a convolution operator. In this way conditions for the multipoint de la Vallée-Poussin problem to have a solution are found.
Bibliography: 14 titles.
Keywords:
convolution operator, Fischer pairs, multipoint de la Vallée-Poussin problem.
@article{SM_2012_203_2_a3,
author = {V. V. Napalkov and A. A. Nuyatov},
title = {The multipoint de la {Vall\'ee-Poussin} problem for a~convolution operator},
journal = {Sbornik. Mathematics},
pages = {224--233},
publisher = {mathdoc},
volume = {203},
number = {2},
year = {2012},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2012_203_2_a3/}
}
V. V. Napalkov; A. A. Nuyatov. The multipoint de la Vall\'ee-Poussin problem for a~convolution operator. Sbornik. Mathematics, Tome 203 (2012) no. 2, pp. 224-233. http://geodesic.mathdoc.fr/item/SM_2012_203_2_a3/