English

de Branges spaces with bi-Lipschitz phase for large distances

Complex Variables 2014-09-29 v2

Abstract

We characterize an arbitrary de Branges space with bi-Lipschitz phase for large distances as a subspace of a weighted Paley--Wiener space, consisting of the elements square-integrable against a heavier weight on the real line.

Keywords

Cite

@article{arxiv.1306.6199,
  title  = {de Branges spaces with bi-Lipschitz phase for large distances},
  author = {Philippe Poulin and Simon Cowell},
  journal= {arXiv preprint arXiv:1306.6199},
  year   = {2014}
}

Comments

The introduction has been expanded, and an example has been added to the originally submitted paper

R2 v1 2026-06-22T00:40:33.925Z