Archivio Istituzionale della RicercaIn this note we provide a negative answer to a question raised by 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.
A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform / Nicola, F.; Trapasso, S. I.. - In: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. - ISSN 1069-5869. - STAMPA. - 26:68(2020). [10.1007/s00041-020-09769-z]
A Note on the HRT Conjecture and a New Uncertainty Principle for the Short-Time Fourier Transform
Nicola F.;Trapasso S. I.
2020
Abstract
In this note we provide a negative answer to a question raised by 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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hrt_fat_tail_revised.pdf
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2843955