Oversampling and Donoho-Logan type theorems in model spaces
Language
en
Document de travail - Pré-publication
English 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 ...Read more >
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 $L^2(\R,\mu)$ space.Read less <
English Keywords
Carleson measure
model space
oversampling formula
Bernstein's inequality
ANR Project
Noyaux reproduisants en Analyse et au-delà - ANR-18-CE40-0035
Origin
Hal imported