Complete interpolating sequences for Fock type spaces
Complex Variables
2026-03-25 v2 Functional Analysis
Abstract
We obtain a characterization of complete interpolating sequences in a class of Fock-type spaces with radial weights for which such sequences exist. Our criterion is formulated in terms of logarithmic separation and controlled perturbations of a reference sequence satisfying an Avdonin-type condition. This provides a geometric description of complete interpolating sequences and extends previous results of Borichev--Lyubarskii and Baranov--Belov--Borichev on Riesz bases of reproducing kernels in Fock-type spaces. It also yields explicit density criteria for sampling and interpolating sequences.
Keywords
Cite
@article{arxiv.2603.14679,
title = {Complete interpolating sequences for Fock type spaces},
author = {Karim Kellay and Youssef Omari},
journal= {arXiv preprint arXiv:2603.14679},
year = {2026}
}