Heisenberg uncertainty inequality for certain Lie groups

DOI10.1142/S1793557119500657zbMath1444.22007OpenAlexW2799720838WikidataQ115244530 ScholiaQ115244530MaRDI QIDQ5223095

Kais Smaoui

Publication date: 5 July 2019

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

Full work available at URL: https://doi.org/10.1142/s1793557119500657

zbMATH Keywords

Plancherel formulanilpotent Lie groupHeisenberg motion groupHeisenberg uncertainty inequalitydiamond Lie group

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25)

Related Items (4)

Uncertainty inequalities for certain connected Lie groups ⋮ Continuous abstract wavelet transform on homogeneous spaces ⋮ Unnamed Item ⋮ Heisenberg uncertainty inequality for Gabor transform on nilpotent Lie groups

Cites Work

• Unnamed Item
• Generalized analogs of the Heisenberg uncertainty inequality
• Uncertainty inequalities for the Heisenberg group
• Unitary representations of group extensions. I
• Some uncertainty inequalities
• Some uncertainty principles for diamond Lie groups
• Segal-Bargmann transform and Paley-Wiener theorems on Heisenberg motion groups
• The uncertainty principle: A mathematical survey
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• Uncertainty principles on certain Lie groups
• Uniform convergence and decay of Fourier series on compact nilmanifolds
• Dual topology of diamond groups.
• The plancherel formula for group extensions

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