A variety of uncertainty principles for the Dunkl transform on ℝd

DOI10.1142/S1793557121500777zbMath1468.42009OpenAlexW3026869259MaRDI QIDQ5001511

Fethi Soltani

Publication date: 22 July 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500777

zbMATH Keywords

Dunkl transformlocal-type inequalities\(L^p\)-functionsHeisenberg-type inequalities

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Integral transforms of special functions (44A20) Measures and integration on abstract linear spaces (46G12) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Laeng-Morpurgo-type uncertainty inequalities for the Weinstein transform ⋮ Unnamed Item

Cites Work

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• Markov processes related with Dunkl operators
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform
• Uncertainty principles involvingL¹-norms for the Dunkl transform
• Extremals of Some Uncertainty Inequalities
• Interpolation of Linear Operators
• Inequalities and local uncertainty principles
• Integral Kernels with Reflection Group Invariance
• An uncertainty principle for the Dunkl transform
• An uncertainty inequality involving $L^1$ norms
• HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝ^d
• Variations on uncertainty principles for integral operators

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