A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator

DOI10.1007/S13370-023-01132-XOpenAlexW4388566126MaRDI QIDQ6138938

Khaled Hleili

Publication date: 16 January 2024

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01132-x

zbMATH Keywords

wavelet transformlogarithmic uncertainty principlePitt's inequalitylocal uncertainty principlesHeisenberg's type inequalityDonoho-Stark's uncertainty principles

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^{p}\) Donoho-Stark uncertainty principles for the Dunkl transform on \(\mathbb{R}^{\text{d}}\)
• Best approximation for Weierstrass transform connected with Riemann-Liouville operator
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• Uncertainty principles for continuous wavelet transforms related to the Riemann-Liouville operator
• Uncertainty principles for spherical mean \(L^2\)-multiplier operators
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• Some results for the windowed Fourier transform related to the spherical mean operator
• Time-frequency analysis of localization operators for the non-isotropic $n$-dimensional modified Stockwell transform
• A variation on uncertainty principles for quaternion linear canonical transform
• Windowed linear canonical transform and its applications to the time-frequency analysis
• Inversion formulas for Riemann-Liouville transform and its dual associated with singular partial differential operators
• Uncertainty principles involvingL¹-norms for the Dunkl transform
• BECKNER LOGARITHMIC UNCERTAINTY PRINCIPLE FOR THE RIEMANN–LIOUVILLE OPERATOR
• Uncertainty Principles and Signal Recovery
• Logarithmic uncertainty principle for the Hankel transform
• Uncertainty principle for the Riemann-Liouville operator
• Extremals of Some Uncertainty Inequalities
• Inequalities and local uncertainty principles
• Sharp local uncertainty inequalities
• An uncertainty inequality involving $L^1$ norms
• Pitt's Inequality and the Uncertainty Principle
• Time–frequency concentration of the windowed Hankel transform
• Variations on uncertainty principles for integral operators

This page was built for publication: A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator