Geodesic
On the smallness of a Paley–Wiener function near its integer zeroes
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 55-59 
M. B. Dubashinskiy. On the smallness of a Paley–Wiener function near its integer zeroes. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 46, Tome 467 (2018), pp. 55-59. http://geodesic.mathdoc.fr/item/ZNSL_2018_467_a4/
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     title = {On the smallness of {a~Paley{\textendash}Wiener} function near its integer zeroes},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

An arbitrary function in the Paley–Wiener class vanishing on a subset of $\mathbb Z$ fails to be concentrated in the vicinity of this subset.

[1] L. de Branges, Hilbert Spaces of Entire Functions, Prentice-Hall, Englewood Cliffs, 1968 | MR | Zbl

[2] V. I. Smirnov, Kurs vysshei matematiki, v. 2, Nauka, M., 1974