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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive
Trudy Mat. Inst. Steklova, 2013 Volume 280, Pages 247–254 (Mi tm3446)
This article is cited in 7 papers

A few remarks on sampling of signals with small spectrum

Shahaf Nitzana, Alexander Olevskiia, Alexander Ulanovskiib

a School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
b University of Stavanger, Stavanger, Norway

Abstract: Given a bounded set $S$ of small measure, we discuss the existence of sampling sequences for the Paley–Wiener space $\mathrm {PW}_S$, which have both densities and sampling bounds close to the optimal ones.

UDC: 517.443

Received in December 2011

Language: English

DOI: 10.1134/S0371968513010172


 English version: Proceedings of the Steklov Institute of Mathematics, 2013, 280, 240–247

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© Steklov Math. Inst. of RAS, 2024