Solvability of systems of nonhomogeneous convolution equations in convex domains in ℂ

Krivosheev, A.; Gantsev, S.

doi:10.1090/S1061-0022-04-00835-0

Solvability of systems of nonhomogeneous convolution equations in convex domains in $\mathbb {C}$
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by A. C. Krivosheev and S. N. Gantsev
Translated by: A. Plotkin

St. Petersburg Math. J. 15 (2004), 847-865

DOI: https://doi.org/10.1090/S1061-0022-04-00835-0

Published electronically: November 16, 2004

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Abstract:

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.

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