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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2022 Number 12, Pages 84–90 (Mi ivm9839)

A problem of generators for a ring of entire functions several complex variables

V. N. Filippov

Lobachevsky State University of Nizhny Novgorod, 23 Gagarina Ave., Nizhni Novgorod, 603022 Russia

Abstract: A ring of entire functions many complex variables of first order having minimal type in cone is considered. It is obtained condition generating of this ring of finite set of functions. The theorem proving in this work about generator of ring employs in the research of solvability of heterogeneous system of equations of convolution in terms of characteristic functions of equations.

Keywords: entire function, generator for ring, equation of convolution.

UDC: 517.5

Received: 01.03.2022
Revised: 01.03.2022
Accepted: 29.06.2022

DOI: 10.26907/0021-3446-2022-12-84-90


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:12, 76–81


© Steklov Math. Inst. of RAS, 2026