Geodesic
Isomorphism between the solution spaces of a discrete convolution equation and a convolution equation on the space of entire functions
Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 733-750.

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In this paper, we solve the problem of reconstructing an arbitrary solution of a homogeneous convolution equation from its values at integer points of the real axis. 
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V. V. Napalkov; V. E. Kim. Isomorphism between the solution spaces of a discrete convolution equation and a convolution equation on the space of entire functions. Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 733-750. http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a8/

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