Deep zero problems and the HRT conjecture
Functional Analysis
2026-01-15 v1 Complex Variables
Abstract
We investigate a "deep zero problem" proposed by Hedenmalm. We show that there is a natural connection between Hedenmalm's problem and the classical HRT conjecture in time-frequency analysis. This connection allows us to show that Hedenmalm's problem 5.2 in [5] as well as some of its natural analogs have affirmative answers.
Cite
@article{arxiv.2601.09080,
title = {Deep zero problems and the HRT conjecture},
author = {Yufei Li and Zeguang Liu and Kehe Zhu},
journal= {arXiv preprint arXiv:2601.09080},
year = {2026}
}