Complete interpolating sequences for small Fock spaces
نویسندگان
چکیده
We give a characterization of complete interpolating sequences for the Fock spaces $\mathcal{F}^p_\varphi,\ 1\leq p<\infty$, where $\varphi(z)=\alpha\left(\log^+|z|\right)^2,\ \alpha>0$. Our results are {analogous} to classical Kadets-Ingham's $1/4-$Theorem on perturbation Riesz bases complex exponentials, and they answer question asked by A. Baranov, Dumont, Hartmann K. Kellay in \cite[page 31]{baranov2015sampling}.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2021
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2021.109064