BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN–LIOUVILLE OPERATOR

DOI10.1142/S0129167X13500705zbMath1282.42007MaRDI QIDQ2855491

Besma Amri, Lakhdar Tannech Rachdi

Publication date: 25 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformRiemann-Liouville operatorlogarithmic uncertainty principlePitt's inequalityStein-Weiss inequalityB-Riesz potential

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (13)

Boundedness and compactness of Riemann-Liouville two-wavelet multipliers ⋮ Beckner logarithmic uncertainty principle for the Stockwell transform associated with the singular partial differential operators ⋮ The Wigner transformation associated with the Hankel multidimensional operator ⋮ A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Uncertainty principles and time frequency analysis related to the Riemann-Liouville operator ⋮ The windowed Fourier transform and Gabor multipliers associated with the Riemann-Liouvlle transform ⋮ Clifford wavelet transform and the uncertainty principle ⋮ The Hardy-Littlewood operator associated with the Riemann-Liouville transform ⋮ Time-frequency analysis associated with some partial differential operators ⋮ Localization operators of the wavelet transform associated to the Riemann–Liouville operator ⋮ Orthonormal sequences and time frequency localization related to the Riemann-Liouville operator ⋮ Generalized homogeneous Besov spaces associated with the Riemann–Liouville operator

Cites Work

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• Inversion of the Lions transmutation operators using generalized wavelets
• On the range of the Fourier transform connected with Riemann-Liouville operator
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• The uncertainty principle: A mathematical survey
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators
• Uncertainty principle for the Riemann-Liouville operator
• A Theorem Concerning Fourier Transforms

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