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Oversampling and Donoho-Logan type theorems in model spaces
Published 5 Apr 2023 in math.CA and math.CV | (2304.02385v2)
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 $L2(\R,\mu)$ space.
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