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Matematicheskie Zametki, 2019, Volume 106, Issue 3, paper published in the English version journal (Mi mzm12276)  

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
Citations (1)
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.
Funding agency Grant number
General Direction of Scientific Research and Technological Renovation LR11ES2502
This work was supported by the General Direction of Scientific Research and Technological Renovation (D. G. R. S. R. T.) under Research Lab grant no. LR11ES2502.
Received: 04.12.2018
English version:
Mathematical Notes, 2019, Volume 106, Issue 3, Pages 429–438
DOI: https://doi.org/10.1134/S0001434619090128
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. Smaoui, “Inequalities and Local Uncertainty Principles for Nilpotent Lie Groups”, Math. Notes, 106:3 (2019), 429–438
Citation in format AMSBIB
\Bibitem{Sma19}
\by K.~Smaoui
\paper Inequalities and Local Uncertainty Principles
for Nilpotent Lie Groups
\jour Math. Notes
\yr 2019
\vol 106
\issue 3
\pages 429--438
\mathnet{http://mi.mathnet.ru/mzm12276}
\crossref{https://doi.org/10.1134/S0001434619090128}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4028870}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074111953}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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