Uncertainty inequalities for certain connected Lie groups

DOI10.1007/s43034-023-00280-2zbMath1526.43004MaRDI QIDQ6099777

Ashish Bansal, Ajay Kumar, Piyush Bansal

Publication date: 20 June 2023

Published in: Annals of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Fourier transformPlancherel formulanilpotent Lie groupsHeisenberg motion groupHeisenberg uncertainty inequalityPitt's inequalitydiamond Lie groupsexponential solvable groupslogarithmic uncertainty inequality

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Induced representations for locally compact groups (22D30)

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