Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607224 | Journal of Approximation Theory | 2013 | 13 Pages |
Abstract
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 ϕ(x)ϕ(x), called an interpolator, so that scattered translates of this function may be used to interpolate and recover any given Paley–Wiener function.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jeff Ledford,