This article is cited in 1 paper

On generators in ideals of entire functions of finite order and type on the plane

A. S. Krivosheev, S. N. Gantsev

Ufa State Aviation Technical University

Abstract: We study ideals in the space of entire functions of finite order and type on the plane. We obtain necessary and sufficient conditions for the ideal of functions vanishing at the common zeros of a system of N functions to be generated by the latter.

Keywords: entire function, ideal, regular growth.

UDC: 517.5

Received: 17.07.2001

 English version: Siberian Mathematical Journal, 2002, 43:5, 843–857

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