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Matematicheskie Zametki, 2010, Volume 88, Issue 3, paper published in the English version journal (Mi mzm12382)  

This article is cited in 2 scientific papers (total in 2 papers)

Papers published in the English version of the journal

The $L^p$$L^q$ analog of Morgan's theorem on exponential solvable Lie groups

F. Abdelmoula, A. Baklouti

Department of Mathematics, Faculty of Sciences at Sfax, Sfax, Tunisia
Citations (2)
Abstract: In this paper, we define an analog of the $L^p$$L^q$ Morgan's uncertainty principle for any exponential solvable Lie group $G(p,q\in[1,+\infty])$. When G is nilpotent and has a noncompact center, the proof of such an analog is given for $p,q\in[2,+\infty]$, extending the earlier settings ([2], [4] and [5]). Such a result is only known for some particular restrictive cases so far. We also prove the result for general exponential Lie groups with nontrivial center.
Keywords: Morgan's uncertainty principle, Plancherel's formula, nilpotent Lie group, Fourier transform.
English version:
Mathematical Notes, 2010, Volume 88, Issue 3, Pages 464–478
DOI: https://doi.org/10.1134/S000143461009018X
Document Type: Article
Language: English
Citation: F. Abdelmoula, A. Baklouti, “The $L^p$$L^q$ analog of Morgan's theorem on exponential solvable Lie groups”, Math. Notes, 88:3 (2010), 464–478
Citation in format AMSBIB
\Bibitem{AbdBak10}
\by F.~Abdelmoula, A.~Baklouti
\paper The $L^p$--$L^q$ analog of Morgan's theorem on exponential solvable Lie groups
\jour Math. Notes
\yr 2010
\vol 88
\issue 3
\pages 464--478
\mathnet{http://mi.mathnet.ru/mzm12382}
\crossref{https://doi.org/10.1134/S000143461009018X}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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