Quaternion offset linear canonical transform in one-dimensional setting

被引：11

作者：

Bhat, M. Younus ^{[1
]}

Dar, Aamir H. ^{[1
]}

机构：

[1] Islamic Univ Sci & Technol, Dept Math Sci, Kashmir, India

来源：

JOURNAL OF ANALYSIS | 2023年 / 31卷 / 04期

关键词：

Offset linear canonical transform; Quaternion offset linear canonical transform; Moyal's formulla; Convolution; UNCERTAINTY PRINCIPLES; SIGNALS; CONVOLUTION;

D O I：

10.1007/s41478-023-00585-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce quaternion offset linear canonical transform of integrable and square integrable functions. Moreover, we show that the proposed transform satisfies all the respective properties like inversion formula, linearity, Moyal's formula, product theorem and the convolution theorem.

引用

页码：2613 / 2622

页数：10

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