Paley-Wiener and Boas Theorems for the Quaternion Fourier Transform

被引：21

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.

引用

页码：837 / 848

页数：12

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