Geodesic
A version of the Malliavin--Rubel Theorem on entire functions of exponential type with zeros near the imaginary axis
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2022), pp. 46-55.

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Let $\mathsf Z$ and $\mathsf W$ be two distributions of points on the complex plane $\mathbb C$. In the case of $\mathsf Z$ and $\mathsf W$, lying on the positive half-line $\mathbb R^+\subset \mathbb C$, the classic theorem Malliavin–Rubel 1960s, gives a necessary and sufficient correlation between $\mathsf Z$ and $\mathsf W$, when for each entire function $g\neq 0$ exponential type that vanish on $\mathsf W$, there exists a an entire function $f\neq 0$ exponential type that vanish on $\mathsf Z$, with the constraint $|f|\leq|g|$ on the imaginary axis $i\mathbb R$. In subsequent years, this theorem was extended to $\mathsf Z$ and $\mathsf W$ located outside of some pair of angles containing $i\mathbb R$ inside. Our version of Malliavin–Rubel theorem admits the location of $\mathsf Z$ and $\mathsf W$ near and on $i\mathbb R$.
Keywords: entire function, distribution of zeros of entire function, logarithmic characteristics and measures, Blaschke condition, Redheffer density. 
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     title = {A version of the {Malliavin--Rubel} {Theorem} on entire functions of exponential type  with zeros near the imaginary axis},
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A. E. Salimova. A version of the Malliavin--Rubel Theorem on entire functions of exponential type  with zeros near the imaginary axis. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2022), pp. 46-55. http://geodesic.mathdoc.fr/item/IVM_2022_8_a4/

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