On Hardy¡¯s Uncertainty Principle for Solvable Locally Compact Groups

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• 作者：Ali Baklouti and Eberhard Kaniuth
• 关键词：Uncertainty ; Hardy’ ; s theorem ; Locally compact Abelian groups ; Extensions of vector groups ; Diamond group ; Exponential solvable locally compact group ; Universal covering groups of motion groups
• 刊名：Journal of Fourier Analysis and Applications
• 出版年：2010
• 出版时间：February, 2010
• 年：2010
• 卷：16
• 期：1
• 页码：129-147
• 全文大小：407.8 KB

文摘

We establish analogues of Hardy’s uncertainty principle for the Fourier transform on ℝ for locally compact Abelian groups and for some classes of solvable Lie groups, such as diamond groups and exponential Lie groups with non-trivial centre.