Gabor duals with minimal L1-norm
Functional Analysis
2026-07-18 v1
Abstract
It is well-known that for a Gabor frame in L2, the canonical dual window is the dual window with the minimal L2-norm. In this paper, we address the problem of finding dual windows for a Gabor frame that minimizes the L1-norm. Since it has been shown that minimizing the L1-norm often coincides with minimizing the L0-norm, we also investigate the support of the dual Gabor window that achieves the minimal L1-norm.
Cite
@article{arxiv.2607.16915,
title = {Gabor duals with minimal L1-norm},
author = {Rocío Díaz Martín and Mark Lammers and Brendan Miller and Alexander M. Powell},
journal= {arXiv preprint arXiv:2607.16915},
year = {2026}
}