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arXiv · 2606.00764

The Gaussian Gabor system at the critical density is a weighted lower semi frame

Elias Zikkos
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Abstract

We show that the Gaussian Gabor system at the critical density is a weighted lower semi frame, thus resolving an open question. This complements recent results showing that the system is neither a weighted frame nor admits a reproducing partner. In fact, after removing any atom from the system, suitable weights produce a complete Riesz Fischer sequence and lower semi frame.

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Elias Zikkos. 2026-05-30. The Gaussian Gabor system at the critical density is a weighted lower semi frame. https://arxiv.org/abs/2606.00764

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