Work

Deep zero problems and the HRT conjecture

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2601.09080

Authors: Li, Yufei, Liu, Zeguang, Zhu, Kehe

Institutions: Northeast Normal University, University at Albany, State University of New York

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1042096140, G8098602528

OpenAlex ID: W7124278204

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