Geodesic
Solvability of a~convolution equation in convex domains
Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 787-796.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@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},
     publisher = {mathdoc},
     volume = {15},
     number = {5},
     year = {1974},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a15/
%G ru
%F MZM_1974_15_5_a15
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/