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Problem of Generators in a Single Ring of Entire Functions of Several Complex Variables

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Abstract

In this paper we consider the ring of entire functions of several first-order complex variables that have a minimal type in a cone. A condition for the generation of this ring by a finite set of functions is obtained. The ring generation theorem proved in this paper is used in the study of the solvability of an inhomogeneous system of convolution equations in terms of the characteristic functions of the equations.

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Authors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, 603022, Nizhny Novgorod, Russia

    V. N. Filippov

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  1. V. N. Filippov
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Correspondence to V. N. Filippov.

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Translated by A. Ivanov

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Filippov, V.N. Problem of Generators in a Single Ring of Entire Functions of Several Complex Variables. Russ Math. 66, 76–81 (2022). https://doi.org/10.3103/S1066369X22120040

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  • DOI: https://doi.org/10.3103/S1066369X22120040

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