Oversampling and Donoho-Logan type theorems in model spaces
Classical Analysis and ODEs
2024-02-13 v2 Complex Variables
Abstract
The aim of this paper is to extend two results from the Paley--Wiener setting to more generalmodel spaces. The first one is an analogue of the oversampling Shannon sampling formula. The second one is a version of the Donoho--Logan Large Sieve Theorem which is a quantitative estimate of the embedding of the Paley--Wiener space into an space.
Keywords
Cite
@article{arxiv.2304.02385,
title = {Oversampling and Donoho-Logan type theorems in model spaces},
author = {Anton Baranov and Philippe Jaming and Karim Kellay and Michael Speckbacher},
journal= {arXiv preprint arXiv:2304.02385},
year = {2024}
}