Browsing by Subject "Bernstein space"

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Approximation of discrete functions and size of spectrum

[OWP-2009-17] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-11)

Let $\Lambda \subset \mathbb{R}$ be a uniformly discrete sequence and $S \subset \mathbb{R}$ a compact set. We prove that if there exists a bounded sequence of functions in Paley-Wiener space $PW_s$ , which approximates ...
Near critical density irregular sampling in bernstein spaces

[OWP-2013-16] Olevskij, Aleksandr M.; Ulanovskii, Alexander (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)

We obtain sharp estimates for the sampling constants in Bernstein spaces when the density of the sampling set is near the critical value.