Geodesic
Finitely Generated Submodules in the Module of Entire Functions Determined by Restrictions on the Indicator Function
Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 3-17.

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We study finitely generated submodules in the module $P$ of entire functions bounded by a system of $\rho$-trigonometrically convex weights majorized by a given $\rho$-trigonometrically convex function. Sufficient conditions for the ampleness of a finitely generated submodule in terms of the relative position of the zeros of its generators are obtained. Using these conditions, we prove that each ample submodule in $P$ is generated by two (possibly, coinciding) functions. 
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N. F. Abuzyarova. Finitely Generated Submodules in the Module of Entire Functions Determined by Restrictions on the Indicator Function. Matematičeskie zametki, Tome 71 (2002) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/MZM_2002_71_1_a0/

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