Oversampling and Donoho–Logan type theorems in model spaces

Authors

  • Anton Baranov St. Petersburg State University, Department of Mathematics and Mechanics
  • Philippe Jaming Univ. Bordeaux, CNRS
  • Karim Kellay Univ. Bordeaux, CNRS
  • Michael Speckbacher Universität Wien, Fakultät für Mathematik
DOI: https://doi.org/10.54330/afm.143957

Keywords:

Carleson measure, model space, oversampling formula, Bernstein's inequality

Abstract

The aim of this paper is to extend two results from the Paley–Wiener setting to more general model 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 \(L^2(\mathbb{R},\mu)\) space.
Issue
Vol. 49 No. 1 (2024)
Section
Articles

Published

2024-03-14

How to Cite

Baranov, A., Jaming, P., Kellay, K., & Speckbacher, M. (2024). Oversampling and Donoho–Logan type theorems in model spaces. Annales Fennici Mathematici, 49(1), 167–182. https://doi.org/10.54330/afm.143957

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