Multi-Window Weaving Frames
Functional Analysis
2018-06-12 v2
Abstract
In this work we deal with the recently introduced concept of weaving frames. We extend the concept to include multi-window frames and present the first sufficient criteria for a family of multi-window Gabor frames to be woven. We give a Hilbert space norm criterion and a pointwise criterion in phase space. The key ingredient are localization operators in phase space and we give examples of woven multi-window Gabor frames consisting of Hermite functions.
Keywords
Cite
@article{arxiv.1705.04166,
title = {Multi-Window Weaving Frames},
author = {Monika Dörfler and Markus Faulhuber},
journal= {arXiv preprint arXiv:1705.04166},
year = {2018}
}
Comments
9 pages, conference paper: SampTA 2017