Geodesic
Splitting entire functions with zeros in a strip
Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1071-1084

Voir la notice de l'article provenant de la source Math-Net.Ru

The following result is proved. If $\varphi$ is a smooth function with support in the interval $[-N, N]$ and if all the zeros of its Fourier transform $$ \widehat\varphi(\lambda)=\int e^{\mathrm i\lambda t}\varphi(t)\,dt $$ are in some horizontal strip, then $\varphi$ can be represented as a convolution of two smooth functions with supports in the interval $[-N/2, N/2]$. 
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     author = {R. S. Yulmukhametov},
     title = {Splitting entire functions with zeros in a strip},
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     number = {7},
     year = {1995},
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     url = {http://geodesic.mathdoc.fr/item/SM_1995_186_7_a8/}
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R. S. Yulmukhametov. Splitting entire functions with zeros in a strip. Sbornik. Mathematics, Tome 186 (1995) no. 7, pp. 1071-1084. http://geodesic.mathdoc.fr/item/SM_1995_186_7_a8/