Geodesic
The problem concerning the epimorphicity of a~convolution operator in convex domains
Matematičeskie zametki, Tome 16 (1974) no. 3, pp. 415-422.

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We deduce an epimorphicity criterion for the convolution operator $$ (a*x)(z)=\frac1{2\pi i}\oint x(t)\tilde a(t-z)\,dt, $$ acting from a space of functions analytic in a convex domain into another such space; $\tilde a(z)$ is the Borel transformation of the exponential function $a(z)$. 
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     author = {O. V. Epifanov},
     title = {The problem concerning the epimorphicity of a~convolution operator in convex domains},
     journal = {Matemati\v{c}eskie zametki},
     pages = {415--422},
     publisher = {mathdoc},
     volume = {16},
     number = {3},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_3_a8/}
}
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O. V. Epifanov. The problem concerning the epimorphicity of a~convolution operator in convex domains. Matematičeskie zametki, Tome 16 (1974) no. 3, pp. 415-422. http://geodesic.mathdoc.fr/item/MZM_1974_16_3_a8/