English

On Beurling's sampling theorem in $\R^n$

Classical Analysis and ODEs 2011-06-06 v1

Abstract

We present an elementary proof of the classical Beurling sampling theorem which gives a sufficient condition for sampling of multi-dimensional band-limited functions.

Keywords

Cite

@article{arxiv.1106.0576,
  title  = {On Beurling's sampling theorem in $\R^n$},
  author = {Alexander Olevskii and Alexander Ulanovskii},
  journal= {arXiv preprint arXiv:1106.0576},
  year   = {2011}
}
R2 v1 2026-06-21T18:17:08.761Z