English

Bandlimited Lipschitz functions

Complex Variables 2014-06-23 v2

Abstract

We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a geometrical description of the natural interpolating and sampling sequences for this space. We also find a description of the trace of such functions to sequences of critical density in terms of a cancellation condition.

Keywords

Cite

@article{arxiv.1307.7359,
  title  = {Bandlimited Lipschitz functions},
  author = {Yurii Lyubarskii and Joaquim Ortega-Cerdà},
  journal= {arXiv preprint arXiv:1307.7359},
  year   = {2014}
}

Comments

Updated version with improved presentation and corrected misprints

R2 v1 2026-06-22T00:59:06.191Z