Uncertainty Inequality for Radon Transform on the Heisenberg Group

被引：0
|
作者：
Jinsen Xiao
Jianxun He
机构：
[1] Guangdong University of Petrochemical Technology,School of Sciences
[2] Guangzhou University,School of Mathematics and Information Sciences
来源：
Complex Analysis and Operator Theory | 2017年 / 11卷
关键词：
Heisenberg group; Radon transform; Uncertainty inequality; Heat kernel; 43A85; 44A12; 52A38;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This article presents the Heisenberg–Pauli–Weyl uncertainty inequality for the Radon transform on the Heisenberg group, which indicates that the Radon transform and the Fourier transform of a nonzero function can not both be sharply localized. The proof is mainly based on some estimates related to the heat kernel, together with the relation between the sublaplacian and the group Fourier transform.
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页码：1603 / 1612
页数：9
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