On~discrete weakly sufficient sets in certain spaces of entire functions
Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 349-357
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This article contains a study of weakly sufficient sets in a certain space of entire functions of exponential type. The following is a consequence of the results obtained: If $D$ is an infinite convex domain, then there exists a system $\{\lambda_k\}_{k=1}^\infty$ (which is minimal in a certain sense) such that any analytic function in $D$ can be represented by a series of the form $\sum a_k\exp\lambda_kz$. For bounded convex domains an analogous result was obtained previously by Leont'ev.
Bibliography: 10 titles.
@article{IM2_1982_19_2_a7,
author = {V. V. Napalkov},
title = {On~discrete weakly sufficient sets in certain spaces of entire functions},
journal = {Izvestiya. Mathematics },
pages = {349--357},
publisher = {mathdoc},
volume = {19},
number = {2},
year = {1982},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a7/}
}
V. V. Napalkov. On~discrete weakly sufficient sets in certain spaces of entire functions. Izvestiya. Mathematics , Tome 19 (1982) no. 2, pp. 349-357. http://geodesic.mathdoc.fr/item/IM2_1982_19_2_a7/