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Matematicheskie Zametki, 2020, Volume 107, Issue 1, paper published in the English version journal (Mi mzm12697)  
Papers published in the English version of the journal

A Generalized Beurling Theorem for Some Lie Groups

M. Elloumia, A. Bakloutib, S. Azaouzic

a Department of Mathematics and Statistics, College of Science, King Faisal University, P.O. Box 400 Al-Ahsa, 31982 Kingdom of Saudi Arabia
b Department of Mathematics, Faculty of Sciences at Sfax, Sfax University, Sfax, 3038 Tunisia
c Department of Mathematics, Preparatory Institute of Engineering Studies, Sfax University, Sfax, 3018 Tunisia
Abstract: For any real numbers $p,q\geq 1$, we present in this paper a $(p,q)$-generalized version of Beurling's uncertainty principle for $\mathbb{R}^n$, which largely extends the classical Beurling's theorem. We then define its analog for compact extensions of $\mathbb{R}^n$ and also for Heisenberg groups.
Keywords: uncertainty principle, Fourier transform, Plancherel formula.
Funding agency Grant number
Deanship of Scientific Research at King Faisal University 180098
The authors are grateful to the Deanship of Scientific Research at King Faisal University for financially supporting this work under project no. 180098.
Received: 01.02.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 1, Pages 42–53
DOI: https://doi.org/10.1134/S0001434620010058
Bibliographic databases:
Document Type: Article
Language: English
Citation: M. Elloumi, A. Baklouti, S. Azaouzi, “A Generalized Beurling Theorem for Some Lie Groups”, Math. Notes, 107:1 (2020), 42–53
Citation in format AMSBIB
\Bibitem{EllBakAza20}
\by M.~Elloumi, A.~Baklouti, S.~Azaouzi
\paper A Generalized Beurling Theorem for Some Lie Groups
\jour Math. Notes
\yr 2020
\vol 107
\issue 1
\pages 42--53
\mathnet{http://mi.mathnet.ru/mzm12697}
\crossref{https://doi.org/10.1134/S0001434620010058}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4144399}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85080976018}
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