Paley-Wiener and Boas Theorems for the Quaternion Fourier Transform

被引：1
|
作者：
Yingxiong Fu
Luoqing Li
机构：
[1] Hubei University,Hubei Key Laboratory of Applied Mathematics, Faculty of Mathematics and Computer Science
来源：
Advances in Applied Clifford Algebras | 2013年 / 23卷
关键词：
Paley-Wiener theorem; Boas theorem; quaternion Fourier transform; Riemann-Lebesgue theorem;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper establishes a real Paley-Wiener theorem to characterize the quaternion-valued functions whose quaternion Fourier transform has compact support by the partial derivative and also a Boas theorem to describe the quaternion Fourier transform of these functions that vanish on a neighborhood of the origin by an integral operator.
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页码：837 / 848
页数：11
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