On the Convergence of One Parameter Families of Interpolators
Date of Completion
The goal of this work is to extend the results of  and . Both of these works focus on specific examples which allow on to reconstruct a function from the Paley Wiener class given its samples on a complete interpolating sequence. A theorem is proved which allows us to generalize the work in these two papers. New examples are given after the proof of the theorem. Additionally, a similar theorem is proved for the case of sampling on the integer lattice. This result should be seen as an extension to . After the proof of the theorem, several novel examples are worked out. ^
Ledford, Jeff, "On the Convergence of One Parameter Families of Interpolators" (2011). Doctoral Dissertations. AAI3476623.