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math.CA2011
On Beurling's sampling theorem in
Alexander Olevskii, Alexander Ulanovskii
We present an elementary proof of the classical Beurling sampling theorem which gives a sufficient condition for sampling of multi-dimensional band-limited functions.
math.CA2011
A few remarks on sampling of signals with small spectrum
Shahaf Nitzan, Alexander Olevskii, Alexander Ulanovskii
Given a set of small measure, we discuss existence of sampling sequences for the Paley-Wiener space , which have both densities and sampling bounds close to the optimal o…