Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups

DOI10.1142/S0129167X18500866zbMath1403.22010OpenAlexW2894763032WikidataQ115246509 ScholiaQ115246509MaRDI QIDQ4561470

Kais Smaoui

Publication date: 6 December 2018

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x18500866

zbMATH Keywords

Fourier transformPlancherel formulanilpotent Lie groupHeisenberg uncertainty inequality

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (4)

Uncertainty inequalities for certain connected Lie groups ⋮ Unnamed Item ⋮ Inequalities and local uncertainty principles for nilpotent Lie groups ⋮ 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
• Some uncertainty inequalities
• The uncertainty principle: A mathematical survey
• Estimate of the \(L^{p}\)-Fourier transform norm on nilpotent Lie groups
• Uncertainty principles on certain Lie groups
• Estimate of the Lp -Fourier transform norm for connected nilpotent Lie groups

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