English

On the Duality between Sampling and Interpolation

Classical Analysis and ODEs 2015-12-07 v1

Abstract

We present a simple method based on the stability and duality of the properties of sampling and interpolation, which allows one to substantially simplify the proofs of some classical results.

Keywords

Cite

@article{arxiv.1512.01437,
  title  = {On the Duality between Sampling and Interpolation},
  author = {Alexander Olevskii and Alexander Ulanovskii},
  journal= {arXiv preprint arXiv:1512.01437},
  year   = {2015}
}
R2 v1 2026-06-22T12:01:39.084Z