A variation on uncertainty principles for the generalized \(q\)-Bessel Fourier transform

DOI10.1016/j.jmaa.2016.03.053zbMath1342.42004OpenAlexW2307233570MaRDI QIDQ289542

Anis Bsaissa, Bochra Nefzi, Manel Hleili

Publication date: 30 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.03.053

zbMATH Keywords

uncertainty principlesgeneralized \(q\)-Bessel Fourier transformgeneralized \(q\)-Bessel function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (4)

Windowed Bessel Fourier transform in quantum calculus and applications ⋮ A variation of the Lq,p‐uncertainty inequalities of Heisenberg‐type for symmetric q‐integral transforms ⋮ Calderón's reproducing formula and uncertainty principle for the continuous wavelet transform associated with the \(q\)-Bessel operator ⋮ Uncertainty principles for the q-bessel fourier transform

Cites Work

• An uncertainty principle for the basic Bessel transform
• An uncertainty principle for integral operators
• The uncertainty principle: A mathematical survey
• Uncertainty Principles and Signal Recovery
• Extremals of Some Uncertainty Inequalities
• Continuity of Solutions of Parabolic and Elliptic Equations
• Inequalities and local uncertainty principles
• Sharp local uncertainty inequalities
• An uncertainty principle for Hankel transforms
• An uncertainty inequality involving $L^1$ norms
• On the $q$-Bessel Fourier transform
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