Inequalities and Local Uncertainty Principles for Nilpotent Lie Groups


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Abstract

The purpose of this paper is to establish a local uncertainty inequality for arbitrary connected, simply connected nilpotent Lie groups. This allows us to prove a couple of global uncertainty inequalities. In the nilpotent case, this type of result is only obtained for the Heisenberg group.

About the authors

K. Smaoui

Pôle Technologique de Sfax

Author for correspondence.
Email: Kais.Smaoui@isimsf.rnu.tn
Tunisia, Route de Tunis, Sfax

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