English

Characterization of coorbit spaces with phase-space covers

Functional Analysis 2015-04-27 v2

Abstract

We show that coorbit spaces can be characterized in terms of arbitrary phase-space covers, which are families of phase-space multipliers associated with partitions of unity. This generalizes previously known results for time-frequency analysis to include time-scale decompositions. As a by-product, we extend the existing results for time-frequency analysis to an irregular setting.

Keywords

Cite

@article{arxiv.1007.3528,
  title  = {Characterization of coorbit spaces with phase-space covers},
  author = {José Luis Romero},
  journal= {arXiv preprint arXiv:1007.3528},
  year   = {2015}
}

Comments

31 pages. Revised version (title slightly changed). Typos fixed

R2 v1 2026-06-21T15:50:41.652Z