Carleson measures and Oversampling in model spaces
Résumé
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 Donoho--Logan's 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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BJKS20230402.pdf (208.63 Ko)
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BJKS20230402 (1).pdf (378.59 Ko)
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