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Dispersion’s Uncertainty Principles Associated with the Directional Short-Time Fourier Transform

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We introduce the directional short-time Fourier transform for which we prove a new Plancherel’s formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle,… Click to show full abstract

We introduce the directional short-time Fourier transform for which we prove a new Plancherel’s formula. We also prove for this transform several uncertainty principles as Heisenberg inequalities, logarithmic uncertainty principle, Faris–Price uncertainty principles and Donoho–Stark’s uncertainty principles.

Keywords: time fourier; uncertainty; short time; directional short; fourier transform; uncertainty principles

Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2020

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