| 调和NA群上几种新的Hardy不确定原理 |
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| 引用本文： | 唐素芳,钮鹏程. 调和NA群上几种新的Hardy不确定原理[J]. 中国科学院研究生院学报, 2009, 26(1): 1-8 |
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| 作者姓名： | 唐素芳 钮鹏程 |
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| 作者单位： | 西北工业大学应用数学系,西安,710072 |
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| 摘 要： | 介绍了调和NA群上的Radon变换，以及这个变换和Helgason-Fourier变换之间的关系。基于这些变换，将实直线R上Morgan形式的Hardy不确定原理和Cowling-Price形式的Hardy不确定原理推广到调和NA群。
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| 关 键 词： | Hardy不确定原理 调和NA群 Helgason-Fourier变换 Radon变换 |
Several new versions of Hardy's uncertainty principles on harmonic NA groups |
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| TANG Su-Fang,NIU Peng-Cheng. Several new versions of Hardy's uncertainty principles on harmonic NA groups[J]. Journal of the Graduate School of the Chinese Academy of Sciences, 2009, 26(1): 1-8 |
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| Authors: | TANG Su-Fang NIU Peng-Cheng |
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| Affiliation: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, China |
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| Abstract: | We generalize two versions of Hardy's uncertainty principles due to Morgan and Cowling-Price in the real line R to harmonic NA groups. To do so, we use the Radon transforms and its relation with the Helgason-Fourier transformations on the class of the groups. |
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| Keywords: | Hardy's uncertainty principle harmonic NA group Helgason-Fourier transform Radon transform |
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