Linear canonical Fourier–Bessel wavelet transform: properties and inequalities

Mohamed, H. B.; Saoudi, A.

doi:10.1080/10652469.2024.2317724

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2024

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Cited by 3 publications

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“…The lastest years, the uncertainty principles was investigate in many setting such as free metaplectic transformation [18], quadratic-phase Fourier transforms [15], linear canonical Fourier-Bessel wavelet transform [2], linear canonical Dunkl setting [11], and in Weinstein setting [12,13].…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Principle for the Weinstein-Gabor Transforms

Kallel,

Saoudi

2024

Int. J. Anal. Appl.

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In this paper, we present the localization of the ν-entropy for the Weinstein Gabor transform. Through the utilization of the ν-entropy, we establish an alternative expression for the Heisenberg uncertainty principle for the Weinstein Gabor transform. In addition, we further extend our study by elaborating on an Lp version of the Heisenberg uncertainty principle for the Weinstein Gabor transform.

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