English

Sign retrieval in spaces of variable bandwidth

Classical Analysis and ODEs 2025-03-31 v1 Complex Variables Functional Analysis

Abstract

The aim of this paper is to get a deeper understanding of the spaces of variable bandwidth introduced by Gr{\"o}chenig and Klotz (What is variable bandwidth? Comm. Pure Appl. Math., 70 (2017), 2039-2083). In particular, we show that when the variation of the bandwidth is modeled by a step function with a finite number of jumps, then, the sign retrieval principle applies.

Cite

@article{arxiv.2503.22443,
  title  = {Sign retrieval in spaces of variable bandwidth},
  author = {Philippe Jaming and Rolando Perez},
  journal= {arXiv preprint arXiv:2503.22443},
  year   = {2025}
}
R2 v1 2026-06-28T22:38:03.998Z