The Lp-Lq analog of Morgan’s theorem on exponential solvable Lie groups

被引：0
作者：
F. Abdelmoula
A. Baklouti
机构：
[1] Faculty of Sciences at Sfax,Department of Mathematics
来源：
Mathematical Notes | 2010年 / 88卷
关键词：
Morgan’s uncertainty principle; Plancherel’s formula; nilpotent Lie group; Fourier transform;
D O I：
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摘要：
In this paper, we define an analog of the Lp-Lq Morgan’s uncertainty principle for any exponential solvable Lie group G (p, q ∈ [1,+∞]). When G is nilpotent and has a noncompact center, the proof of such an analog is given for p, q ∈ [2,+∞], 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.
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页码：464 / 478
页数：14
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