Geodesic
Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type
Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 421-424.

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Translation invariant subspaces in the space of entire functions of exponential type of several complex variables are considered and conditions are presented under which the set of exponential polynomials is dense in such a space. In particular, necessary and sufficient conditions for the polynomial elements to be dense are obtained. 
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V. M. Trutnev. Density of Polynomial Elements in Invariant Subspaces of Entire Functions of Exponential Type. Matematičeskie zametki, Tome 75 (2004) no. 3, pp. 421-424. http://geodesic.mathdoc.fr/item/MZM_2004_75_3_a8/

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