DUALITY PROPERTY OF TWO-SIDED QUATERNION FOURIER TRANSFORM

被引：0

作者：

Bahri, Mawardi ^{[1
]}

Ashino, Ryuichi ^{[2
]}

机构：

[1] Hasanuddin Univ, Dept Math, Makassar 90245, Indonesia

[2] Osaka Kyoiku Univ, Math & Informat, Osaka 5828582, Japan

来源：

PROCEEDINGS OF 2018 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION (ICWAPR) | 2018年

关键词：

Quaternion Fourier transform; Duality; Hausdorff-Young inequality;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion Fourier transform is presented. It is shown that the inverse of the two-sided quaternion Fourier transform is continuous and bounded on R-2. The duality property of the two-sided quaternion Fourier transform is established. The alternative form of the Hausdorff-Young inequality associated with the two-sided quaternion Fourier transform is expressed.

引用

页码：1 / 6

页数：6

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