Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 35-43
Citer cet article
O. V. Gorina. Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region. Matematičeskie zametki, Tome 52 (1992) no. 3, pp. 35-43. http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a3/
@article{MZM_1992_52_3_a3,
author = {O. V. Gorina},
title = {Solvability of convolution equation in the {Gevrey} class of functions analytic in a nonconvex region},
journal = {Matemati\v{c}eskie zametki},
pages = {35--43},
year = {1992},
volume = {52},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a3/}
}
TY - JOUR
AU - O. V. Gorina
TI - Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region
JO - Matematičeskie zametki
PY - 1992
SP - 35
EP - 43
VL - 52
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a3/
LA - ru
ID - MZM_1992_52_3_a3
ER -
%0 Journal Article
%A O. V. Gorina
%T Solvability of convolution equation in the Gevrey class of functions analytic in a nonconvex region
%J Matematičeskie zametki
%D 1992
%P 35-43
%V 52
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1992_52_3_a3/
%G ru
%F MZM_1992_52_3_a3
In the Gevrey space $A(q)$ of functions analytic in a nonconvex bounded region in $\mathbf{C}^-$, we consider $a$ convolution operator $L$ generated by some entire functiona. A necessary and sufficient condition under which the equality $L(A(q))=A(q)$ holds is established.
