Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 787-796
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O. V. Epifanov. Solvability of a convolution equation in convex domains. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 787-796. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a15/
@article{MZM_1974_15_5_a15,
author = {O. V. Epifanov},
title = {Solvability of a~convolution equation in convex domains},
journal = {Matemati\v{c}eskie zametki},
pages = {787--796},
year = {1974},
volume = {15},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a15/}
}
TY - JOUR
AU - O. V. Epifanov
TI - Solvability of a convolution equation in convex domains
JO - Matematičeskie zametki
PY - 1974
SP - 787
EP - 796
VL - 15
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a15/
LA - ru
ID - MZM_1974_15_5_a15
ER -
%0 Journal Article
%A O. V. Epifanov
%T Solvability of a convolution equation in convex domains
%J Matematičeskie zametki
%D 1974
%P 787-796
%V 15
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a15/
%G ru
%F MZM_1974_15_5_a15
For an exponential function $a(z)$ we consider the convolution $a*x$ in the function space $H(G)$, consisting of functions analytic in convex domains $G$. We obtain conditions (close to necessary and sufficient) on $G$ and $G_1$ subject to which the equation $a*(H(G_1))=H(G)$ is satisfied.
