English

Concentration inequalities for Paley-Wiener spaces

Classical Analysis and ODEs 2022-10-27 v2

Abstract

This article considers the question of how much of the mass of an element in a Paley-Wiener space can be concentracted on a given set. We seek bounds in terms of relative densities of the given set. We extend a result of Donoho and Logan from 1992 in one dimension and consider similar results in higher dimensions.

Keywords

Cite

@article{arxiv.2210.10029,
  title  = {Concentration inequalities for Paley-Wiener spaces},
  author = {Syed Husain and Friedrich Littmann},
  journal= {arXiv preprint arXiv:2210.10029},
  year   = {2022}
}
R2 v1 2026-06-28T03:56:11.933Z