Oversampling and Donoho–Logan type theorems in model spaces

Kirjoittajat

  • 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

Avainsanat:

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

Abstrakti

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.

Tiedostolataukset

Julkaistu

2024-03-14

Numero

Vol 49 Nro 1 (2024)

Osasto

Articles

Lisenssi

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

Tämä työ on lisensoitu Creative Commons Nimeä-EiKaupallinen 4.0 Kansainvälinen Julkinen -lisenssillä.

Viittaaminen

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