Heisenberg uncertainty principles for the Dunkl multipier operators

DOI10.1007/s10958-017-3657-0zbMath1384.42011OpenAlexW2780417269MaRDI QIDQ1701762

S. B. Rejeb, Fethi Soltani

Publication date: 27 February 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3657-0

zbMATH Keywords

Heisenberg-Pauli-Weyl type inequalities

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Multipliers for harmonic analysis in several variables (42B15)

Cites Work

• Uncertainty principles for the Dunkl transform
• Markov processes related with Dunkl operators
• The Dunkl transform
• Positivity of Dunkl's intertwining operator
• Multiplier operators and extremal functions related to the dual Dunkl-Sonine operator
• A general form of Heisenberg–Pauli–Weyl uncertainty inequality for the Dunkl transform
• Uncertainty principles involvingL¹-norms for the Dunkl transform
• Maximal Bochner–Riesz operators on Hardy-type spaces in the Dunkl setting
• A Note on Entropy
• Inequalities and local uncertainty principles
• An uncertainty principle for the Dunkl transform
• An uncertainty inequality involving $L^1$ norms
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