Geodesic
Lower bounds on the values of an entire function of exponential type at certain integers, in terms of a least superharmonic majorant
Algebra i analiz, Tome 10 (1998) no. 3, pp. 31-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this,paper and the following one, it is shown that if $A<\pi$ and $\eta>0$ is sufficiently small (depending on $A$), the entire functions $f(z)$ of exponential type $\le A$ satisfying $\sum^{\infty}_{m=-\infty}(\log^+|f(n)|/(1+n^2))\le\eta$ form a normal family (in $\mathbb C$). General properties of least superharmonic majorants are used to obtain this result, and from it the multiplier theorem of Beurling and Malliavin is readily derived.
Keywords: Entire function of exponential type, least superharmonic majorant, logarithmic sum, BeurlingT-Malliavin multiplier theorem. 
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     author = {P. Koosis and Henrik L. Pedersen},
     title = {Lower bounds on the values of an entire function of exponential type at certain integers, in terms of a~least superharmonic majorant},
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     pages = {31--44},
     year = {1998},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1998_10_3_a1/}
}
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P. Koosis; Henrik L. Pedersen. Lower bounds on the values of an entire function of exponential type at certain integers, in terms of a least superharmonic majorant. Algebra i analiz, Tome 10 (1998) no. 3, pp. 31-44. http://geodesic.mathdoc.fr/item/AA_1998_10_3_a1/