Oversampling and Donoho–Logan type theorems in model spaces

Författare

  • 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

Nyckelord:

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.

Nedladdningar

Publicerad

2024-03-14

Nummer

Vol 49 Nr 1 (2024)

Sektion

Articles

Licens

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons-licens

Detta verk är licensierat under en Creative Commons Erkännande-IckeKommersiell 4.0 Internationell-licens.

Referera så här

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