English

Complete Interpolating sequences for small Fock Spaces

Complex Variables 2022-06-28 v1

Abstract

We give a characterization of complete interpolating sequences for the Fock spaces Fφp, 1p<\mathcal{F}^p_\varphi,\ 1\leq p<\infty, where φ(z)=α(log+z)2, α>0\varphi(z)=\alpha\left(\log^+|z|\right)^2,\ \alpha>0. Our results are {analogous} to the classical Kadets-Ingham's 1/41/4-Theorem on perturbation of Riesz bases of complex exponentials, and they answer a question asked by A. Baranov, A. Dumont, A. Hartmann and K. Kellay in \cite[page 31]{baranov2015sampling}.

Keywords

Cite

@article{arxiv.1912.08250,
  title  = {Complete Interpolating sequences for small Fock Spaces},
  author = {Y. Omari},
  journal= {arXiv preprint arXiv:1912.08250},
  year   = {2022}
}
R2 v1 2026-06-23T12:48:58.759Z