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arXiv · 1911.12241

A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform

Fabio Nicola·S. Ivan Trapasso
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Abstract

In this note we provide a negative answer to a question raised by M. Kreisel concerning a condition on the short-time Fourier transform that would imply the HRT conjecture. In particular we provide a new type of uncertainty principle for the short-time Fourier transform which forbids the arrangement of an arbitrary "bump with fat tail" profile.

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Fabio Nicola, S. Ivan Trapasso. 2019-11-27. A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform. https://doi.org/10.1007/s00041-020-09769-z

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