Generalized analogs of the Heisenberg uncertainty inequality

DOI10.1186/s13660-015-0691-7zbMath1345.22006arXiv1410.3050OpenAlexW2111211036WikidataQ59431450 ScholiaQ59431450MaRDI QIDQ264428

Ashish Bansal, Ajay Kumar

Publication date: 31 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3050

zbMATH Keywords

Fourier transformPlancherel formulanilpotent Lie groupEuclidean motion groupHeisenberg uncertainty inequality

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (7)

Heisenberg–Pauli–Weyl inequality for connected nilpotent Lie groups ⋮ Uncertainty inequalities for certain connected Lie groups ⋮ Continuous Modulated Shearlet Transform ⋮ Continuous abstract wavelet transform on homogeneous spaces ⋮ Unnamed Item ⋮ Heisenberg uncertainty inequality for certain Lie groups ⋮ Heisenberg uncertainty inequality for Gabor transform on nilpotent Lie groups

Cites Work

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• Uncertainty inequalities for the Heisenberg group
• Beurling's theorem for nilpotent Lie groups
• Some uncertainty inequalities
• On theorems of Beurling and Hardy for the Euclidean motion groups
• On theorems of Beurling and Cowling-Price for certain nilpotent Lie groups
• The uncertainty principle: A mathematical survey
• Uncertainty principles on certain Lie groups
• An analogue of the Paley-Wiener theorem for the euclidean motion group

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