Browsing 1 - Oberwolfach Preprints (OWP) 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.