Uncertainty principles involvingL1-norms for the Dunkl transform

DOI10.1080/10652469.2012.712533zbMath1275.42011OpenAlexW2053851932MaRDI QIDQ2841942

Saifallah Ghobber

Publication date: 30 July 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2012.712533

zbMATH Keywords

uncertainty principleDunkl transformHeisenberg inequality

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Other transformations of harmonic type (42C20)

Related Items (11)

A variation of \(L^p\) uncertainty principles in Weinstein setting ⋮ Phase space localized functions in the Dunkl setting ⋮ A variation of the Lq,p‐uncertainty inequalities of Heisenberg‐type for symmetric q‐integral transforms ⋮ A variation of uncertainty principles for the continuous wavelet transform connected with the Riemann-Liouville operator ⋮ Inequalities in time-frequency analysis ⋮ Heisenberg uncertainty principles for the Dunkl multipier operators ⋮ Variations on uncertainty principles for integral operators ⋮ A variation on uncertainty principles for quaternion linear canonical transform ⋮ Quantitative uncertainty principles associated with the directional short-time Fourier transform ⋮ A variety of uncertainty principles for the Dunkl transform on ℝd ⋮ The multiplier of the interval [−1, 1 for the Dunkl transform of arbitrary order on the real line]

Cites Work

• Strong annihilating pairs for the Fourier-Bessel transform
• Estimates for maximal functions along hypersurfaces
• Markov processes related with Dunkl operators
• The Dunkl transform
• The uncertainty principle: A mathematical survey
• Exact operator solution of the Calogero-Sutherland model
• Positivity of Dunkl's intertwining operator
• Spectrum of the finite Dunkl transform operator and Donoho–Stark uncertainty principle
• Local uncertainty principle for the Hankel transform
• Miyachi's theorem for the Dunkl transform
• Extremals of Some Uncertainty Inequalities
• Continuity of Solutions of Parabolic and Elliptic Equations
• Fourier and Hankel bandlimited signal recovery
• Inequalities and local uncertainty principles
• Integral Kernels with Reflection Group Invariance
• An uncertainty principle for Hankel transforms
• An uncertainty principle for the Dunkl transform
• An uncertainty inequality involving $L^1$ norms
• Exchange operator formalism for integrable systems of particles
• An L^P version of Hardy's theorem for the Dunkl transform
• Uncertainty principles for the Hankel transform
• Uncertainty principles for integral operators
• Uncertainty Inequalities for Hankel Transforms

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