Article Dans Une Revue Journal of Fourier Analysis and Applications Année : 2022

A Simple Observation on the Uncertainty Principle for the Fractional Fourier Transform

Résumé

The aim of this letter is to show that uncertainty principles for the pair u, F[u] (F the Fourier transform) can be tranfered without much effort to the pair Fα[u], F β [u] (Fα the Fractional Fourier transform) provided β − α / ∈ πZ. This letter is essentially of a tutorial nature and aims at avoiding that people waste their efforts on adaptations of the proofs from classical Fourier analysis to the fractional setting.

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Dates et versions

hal-04165335 , version 1 (18-07-2023)

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Philippe Jaming. A Simple Observation on the Uncertainty Principle for the Fractional Fourier Transform. Journal of Fourier Analysis and Applications, 2022, 28 (3), pp.51. ⟨10.1007/s00041-022-09946-2⟩. ⟨hal-04165335⟩
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