Real Paley-Wiener theorems for the Clifford Fourier transform

被引：0
|
作者：
YingXiong Fu
LuoQing Li
机构：
[1] Hubei University,School of Mathematics and Statistics
来源：
Science China Mathematics | 2014年 / 57卷
关键词：
Clifford Fourier transform; Dirac operator; Paley-Wiener theorem; Boas theorem; 42B10; 15A66;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Associated with the Dirac operator and partial derivatives, this paper establishes some real Paley-Wiener type theorems to characterize the Clifford-valued functions whose Clifford Fourier transform (CFT) has compact support. Based on the Riemann-Lebesgue theorem for the CFT, the Boas theorem is provided to describe the CFT of Clifford-valued functions that vanish on a neighborhood of the origin.
引用
收藏
页码：2381 / 2392
页数：11
相关论文
共 50 条
12345