Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator

DOI10.1007/s11587-017-0320-5zbMath1381.43008OpenAlexW2589925355MaRDI QIDQ1683917

Hajer Herch, Lakhdar Tannech Rachdi

Publication date: 1 December 2017

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-017-0320-5

zbMATH Keywords

Fourier transformPlancherel formulauncertainty principlewavelet transformRiemann-Liouville operatoradmissible wavelet

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Other transforms and operators of Fourier type (43A32)

Related Items (3)

A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ A sharp Clifford wavelet Heisenberg-type uncertainty principle ⋮ Clifford wavelet transform and the uncertainty principle

Cites Work

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• On the range of the Fourier transform connected with Riemann-Liouville operator
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators
• Interpolation of Linear Operators
• Uncertainty principles for integral operators
• Time–frequency concentration of the windowed Hankel transform

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