English

Shift-invariant sampling in two-sided small Fock spaces

Functional Analysis 2025-11-27 v1 Complex Variables

Abstract

We consider the sampling problem for two-sided small Fock spaces Fαp\mathcal{F}^p_{\alpha}, for the full range 0<p0 < p \le \infty. We establish a geometric description of shift-invariant sampling sequences, i.e., sequences Λ\Lambda such that cΛc \Lambda is sampling for all cC{0}c \in \mathbb{C} \setminus \{ 0 \}.

Keywords

Cite

@article{arxiv.2511.20485,
  title  = {Shift-invariant sampling in two-sided small Fock spaces},
  author = {Yurii Belov and Mikhail Mironov},
  journal= {arXiv preprint arXiv:2511.20485},
  year   = {2025}
}
R2 v1 2026-07-01T07:54:32.423Z