(1) School of Mathematics, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel;(2) Stavanger University, 4036 Stavanger, Norway
Abstract:
We ask if there exist discrete “universal” sets of given finite density such that every signal f with bounded spectrum of small measure can be recovered from the samples . We prove that uniqueness in this problem can be achieved in general situation. On the other hand, for stable reconstruction it is crucial whether the spectrum is compact or dense. Received: February 2007, Accepted: May 2007