Uncertainty principles for the continuous wavelet transform in the Hankel setting

DOI10.1080/00036811.2016.1276169zbMath1460.42053OpenAlexW2570995850MaRDI QIDQ5856166

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Publication date: 24 March 2021

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2016.1276169

zbMATH Keywords

Hankel transformuncertainty principlesShapiro's theoremumbrella theoremHankel wavelet transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transforms and operators of Fourier type (43A32)

Related Items (13)

Amrein-Berthier and Logvinenko-Sereda uncertainty principles for the Hankel-Stockwell transform ⋮ \(L^p\) boundedness and compactness of localization operators associated with the \(k\)-Hankel wavelet transform on \({\mathbb{R}}^d \) ⋮ Uncertainty principles for the Hankel-Stockwell transform ⋮ Localization operators and scalogram associated with the deformed Hankel wavelet transform ⋮ New uncertainty principles for the $(k,a)$-generalized wavelet transform ⋮ Quantitative uncertainty principles associated with the k$$ k $$‐Hankel wavelet transform on ℝd$$ {\mathbb{R}}^d $$ ⋮ Uncertainty principles for the windowed Opdam–Cherednik transform ⋮ Generalized convolution operator associated with the \((k, a)\)-generalized Fourier transform on the real line and applications ⋮ Harmonic analysis problems associated with the \(k\)-Hankel Gabor transform ⋮ Local Price uncertainty principle and time-frequency localization operators for the Hankel–Stockwell transform ⋮ Uncertainty principles for the windowed Hankel transform ⋮ Non-isotropic angular Stockwell transform and the associated uncertainty principles ⋮ Uncertainty principles in term of supports in Hankel wavelet setting

Cites Work

• Uncertainty principles for orthonormal sequences
• Heisenberg inequalities for wavelet states
• The uncertainty principle: A mathematical survey
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• The wavelet transform, time-frequency localization and signal analysis
• Time–frequency concentration of the windowed Hankel transform
• Variations on uncertainty principles for integral operators
• SHAPIRO’S UNCERTAINTY PRINCIPLE IN THE DUNKL SETTING
• An Inversion Theorem for Hankel Transforms
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