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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $\mathbf C^n$. 
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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/

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