Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.01948 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- The HRT conjecture states that any finite collection of time-frequency shifts of a non-zero square-integrable function on the real line is linearly independent. In this paper, we establish the linear independence of finite systems of time-frequency shifts of a non-zero meromorphic function. Consequently, we prove that the conjecture is true for any square-integrable function on $\mathbb{R}$ that can be extended to an analytic function on $\mathbb{C}$ except on finitely many points.