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arXiv · 2605.26709

On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions

Markus Faulhuber
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Abstract

We show that the Wirtinger criterion cannot be used to investigate the frame set conjecture for the first Hermite function. More generally, for odd functions, it cannot determine regions of the frame set with density less than 2.

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Markus Faulhuber. 2026-05-26. On a fundamental barrier of the Wirtinger criterion for Gabor systems with odd functions. https://doi.org/10.1016/j.rinam.2026.100719

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