Paley-Wiener and Boas Theorems for the Quaternion Fourier Transform

被引：25
|
作者：
Fu, Yingxiong [1 ]
Li, Luoqing [1 ]
机构：
[1] Hubei Univ, Hubei Key Lab Appl Math, Fac Math & Comp Sci, Wuhan 430062, Hubei, Peoples R China
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2013年 / 23卷 / 04期
关键词：
Paley-Wiener theorem; Boas theorem; quaternion Fourier transform; Riemann-Lebesgue theorem;
D O I：
10.1007/s00006-013-0412-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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：12
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