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Mejjaoli, Hatem; Shah, Firdous A.

Uncertainty principles associated with the directional short-time Fourier transform. (English) Zbl 1467.81065

J. Math. Phys. 62, No. 6, Article ID 063511, 20 p. (2021).
Summary: This paper deals with the study of some uncertainty principles associated with the directional short-time Fourier transform. First, we develop the Beckner’s uncertainty principle by invoking the well-known Pitt’s inequality and then study some logarithmic Sobolev-type inequalities. Second, we present a couple of concentration uncertainty principles, including the Benedick-Amrein-Berthier inequality and the local-type uncertainty principle. We culminate our study by formulating the Donoho-Stark-type uncertainty principles for the directional short-time Fourier transform.
©2021 American Institute of Physics

Cited in 5 Documents

MSC:

81S07 Uncertainty relations, also entropic
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type

Keywords:

logarithmic Sobolev-type inequalitie; Benedick-Amrein-Berthier inequality
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References:

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