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Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb{C}$

Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb{C}$

A criterion for the solvability of systems of nonhomogeneous convolution equations in convex domains on the complex plane is obtained in terms of lower estimates for the characteristic functions of the convolution equations at their noncommon zeros.