调和NA群上几种新的Hardy不确定原理
Several new versions of Hardy's uncertainty principles on harmonic NA groups
Received date: 1900-01-01
Revised date: 1900-01-01
Online published: 2009-01-15
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。
唐素芳 , 钮鹏程 . 调和NA群上几种新的Hardy不确定原理[J]. 中国科学院大学学报, 2009 , 26(1) : 1 -8 . DOI: 10.7523/j.issn.2095-6134.2009.1.001
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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