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 unce...

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Bibliographic Details
Published in:Annals of functional analysis 2023-07, Vol.14 (3), Article 57
Main Authors: Bansal, Piyush, Kumar, Ajay, Bansal, Ashish
Format: Article
Language:English
Subjects:
Functional Analysis
Mathematics
Mathematics and Statistics
Original Paper
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Summary: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.
ISSN:2639-7390
2008-8752
DOI:10.1007/s43034-023-00280-2