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Matematicheskie Zametki, 2010, Volume 88, Issue 3, paper published in the English version journal
(Mi mzm12382)
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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
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.
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
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Abstract page: | 67 |
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