A CRITERION FOR THE SOLVABILITY OF NONHOMOGENEOUS CONVOLUTION EQUATIONS IN CONVEX DOMAINS OFCn
Александр Сергеевич Кривошеев · Mathematics of the USSR-Izvestiya · 1991
A criterion is given, in terms of the Laplace transform of an analytic functional , for the convolution operator , corresponding to this functional, to be an epimorphism, in the case when is an arbitrary convex domain and an arbitrary convex compact set in Cn.