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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