Geodesic
Oversampling and Donoho–Logan type theorems in model spaces
Anton Baranov1 ; Philippe Jaming2 ; Karim Kellay2 ; Michael Speckbacher3
1 St. Petersburg State University, Department of Mathematics and Mechanics
2 Univ. Bordeaux, CNRS
3 Universität Wien, Fakultät für Mathematik
Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 167–182.

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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.
DOI : 10.54330/afm.143957
Keywords: Carleson measure, model space, oversampling formula, Bernstein's inequality

Anton Baranov 1 ; Philippe Jaming 2 ; Karim Kellay 2 ; Michael Speckbacher 3

1 St. Petersburg State University, Department of Mathematics and Mechanics
2 Univ. Bordeaux, CNRS
3 Universität Wien, Fakultät für Mathematik 
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Anton Baranov; Philippe Jaming; Karim Kellay; Michael Speckbacher. Oversampling and Donoho–Logan type theorems in model spaces. Annales Fennici Mathematici, Tome 49 (2024) no. 1, p. 167–182. doi : 10.54330/afm.143957. http://geodesic.mathdoc.fr/articles/10.54330/afm.143957/

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