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Matematicheskie Zametki, 2019, Volume 106, Issue 3, paper published in the English version journal
(Mi mzm12276)
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This article is cited in 1 scientific paper (total in 1 paper)
Papers published in the English version of the journal
Inequalities and Local Uncertainty Principles
for Nilpotent Lie Groups
K. Smaoui University of Sfax, Higher Institute of Information Technology and Multimedia, Pôole Technologique de Sfax, Route de Tunis, Sfax, B.P. 242 Tunisia
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.
Keywords:
local uncertainty inequality, Heisenberg uncertainty inequality,
nilpotent Lie group, Plancherel formula.
Received: 04.12.2018
Citation:
K. Smaoui, “Inequalities and Local Uncertainty Principles
for Nilpotent Lie Groups”, Math. Notes, 106:3 (2019), 429–438
Linking options:
https://www.mathnet.ru/eng/mzm12276
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