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Uncertainty inequalities for certain connected Lie groups

Uncertainty inequalities for certain connected Lie groups Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg motion group and diamond Lie groups has been proved. These inequalities have been used to establish logarithmic uncertainty inequality and Heisenberg uncertainty inequality for the above classes of groups. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Functional Analysis Springer Journals

Uncertainty inequalities for certain connected Lie groups

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References (25)

Publisher
Springer Journals
Copyright
Copyright © Tusi Mathematical Research Group (TMRG) 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
ISSN
2639-7390
eISSN
2008-8752
DOI
10.1007/s43034-023-00280-2
Publisher site
See Article on Publisher Site

Abstract

Pitt’s inequality for exponential solvable Lie groups with non-trivial center, connected nilpotent Lie groups with non-compact center, Heisenberg motion group and diamond Lie groups has been proved. These inequalities have been used to establish logarithmic uncertainty inequality and Heisenberg uncertainty inequality for the above classes of groups.

Journal

Annals of Functional AnalysisSpringer Journals

Published: Jul 1, 2023

Keywords: Pitt’s inequality; Logarithmic uncertainty inequality; Fourier transform; Heisenberg uncertainty inequality; Heisenberg motion group; Nilpotent Lie groups; Exponential solvable groups; Plancherel formula; Diamond Lie groups; 43A32; 43A30; 22D10; 22D30; 22E25

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