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math.FA2014
On regular families of cardinal interpolators and multiresolution analyses
Jeff Ledford
In this short note, we investigate the relationship between so-called regular families of cardinal interpolators and multiresolution analyses. We focus our studies on examples of r…
math.FA2014
Recovery of bivariate band limited functions using scattered translates of the Poisson kernel
Jeff Ledford
This paper continues the study of interpolation operators on scattered data. We introduce the Poisson interpolation operator and prove various properties. The main result concerns…