Geodesic
A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$
Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 497-517

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

A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator $M_u\colon H(\mathscr D+k)\to H(\mathscr D)$, corresponding to this functional, to be an epimorphism, in the case when $\mathscr D$ is an arbitrary convex domain and $K$ an arbitrary convex compact set in $\mathbf C^n$. 
@article{IM2_1991_36_3_a2,
     author = {A. S. Krivosheev},
     title = {A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$},
     journal = {Izvestiya. Mathematics },
     pages = {497--517},
     publisher = {mathdoc},
     volume = {36},
     number = {3},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a2/}
}
TY  - JOUR
AU  - A. S. Krivosheev
TI  - A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$
JO  - Izvestiya. Mathematics 
PY  - 1991
SP  - 497
EP  - 517
VL  - 36
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a2/
LA  - en
ID  - IM2_1991_36_3_a2
ER  - 
%0 Journal Article
%A A. S. Krivosheev
%T A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$
%J Izvestiya. Mathematics 
%D 1991
%P 497-517
%V 36
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a2/
%G en
%F IM2_1991_36_3_a2
A. S. Krivosheev. A criterion for the solvability of nonhomogeneous convolution equations in convex domains of the space $\mathbf C^n$. Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 497-517. http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a2/