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A few remarks on sampling of signals with small spectrum

2011/04/12 by Shahaf Nitzan, Alexander Olevskii, Nitzan, Shahaf +4
Mathematics · #42C15 #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Approximation and Integration #math.CA #msc:42C15

paper · pdf · doi:10.48550/arxiv.1104.2172

arxiv created 2011/04/12 · openalex publication_date 2011/04/12 · arxiv updated 2011/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a set S of small measure, we discuss existence of sampling sequences for the Paley-Wiener space PWS, which have both densities and sampling bounds close to the optimal ones.

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