On regular families of cardinal interpolators and multiresolution analyses

Jeff Ledford

On regular families of cardinal interpolators and multiresolution analyses

Functional Analysis 2014-06-25 v1 Classical Analysis and ODEs

Authors: Jeff Ledford

Abstract

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 regular families of cardinal interpolators whose Fourier transform is unbounded at the origin. In particular, we show that when this is the case there is a multiresolution analysis corresponding to each member of a regular family of cardinal interpolators.

Keywords

interpolation theory

Cite

@article{arxiv.1406.6244,
  title  = {On regular families of cardinal interpolators and multiresolution analyses},
  author = {Jeff Ledford},
  journal= {arXiv preprint arXiv:1406.6244},
  year   = {2014}
}