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Title of Article

GENERATORS FOR THE RING OF ENTIRE FUNCTIONS OF MANY FIRST ORDER COMPLEX VARIABLES OF MINIMAL TYPE IN A CONE. APPLICATION


Issue
4
Date
2014

Article type
scientific article
UDC
517.5
Pages
279-283
Keywords
entire function, ring generators, convolution equations


Authors
Filippov V.N.
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A ring of entire functions of many first order complex variables of minimal type in a cone is considered. A condition to generate this ring by a finite set of functions is obtained. The ring generator theorem proved in the article is applied to study the solvability of an inhomogeneous system of convolution equations in terms of characteristic functions of the equations.

File (in Russian)