Recovery of Paley�Wiener functions using scattered translates of regular interpolators

Autores: Jeff Ledford
Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 173, Nº 1, 2013, págs. 1-13
Idioma: inglés
DOI: 10.1016/j.jat.2013.04.010
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Resumen
- In both Lyubarskii and Madych (1994) [7], and Schlumprecht and Sivakumar (2009) [9], it was shown that Paley�Wiener functions may be recovered from their values on a complete interpolating sequence.
  
  This paper explores the same phenomenon, and gives a sufficient condition on a function ö(x), called an interpolator, so that scattered translates of this function may be used to interpolate and recover any given Paley�Wiener function.