Octonion Offset Linear Canonical Transform

被引：7

作者：

Bhat, Younis Ahmad ^{[1
]}

Sheikh, N. A. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 04期

关键词：

Octonion linear canonical transform; Quaternionic offset linear canonical transform; Uncertainty principle; FOURIER-TRANSFORM; HYPERCOMPLEX; RECOGNITION; COMPLEX;

D O I：

10.1007/s13324-022-00705-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a novel integral transform namely octonion offset linear canonical transform (OCOLCT). We first establish the fundamental properties associated with octonion offset linear canonical transform (OCOLCT) and obtain a relationship between OCOLCT and quaternion offset linear canonical transform (QOLCT). Furthermore, we derive the Hardy's uncertainty principle and logarithmic uncertainty principle associated with OCOLCT. Towards the end, some potential applications are presented.

引用

页数：24

共 22 条

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[2]

Bas P, 2003, 2003 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL III, PROCEEDINGS, P521

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