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arXiv · 2304.02385

Oversampling and Donoho-Logan type theorems in model spaces

Anton Baranov·Philippe Jaming·Karim Kellay·Michael Speckbacher
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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 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.

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Anton Baranov, Philippe Jaming, Karim Kellay, Michael Speckbacher. 2023-04-05. Oversampling and Donoho-Logan type theorems in model spaces. https://arxiv.org/abs/2304.02385

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