Octonion Offset Linear Canonical Transform

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 c...

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Bibliographic Details
Published in:Analysis and mathematical physics 2022-08, Vol.12 (4), Article 95
Main Authors: Bhat, Younis Ahmad, Sheikh, N. A.
Format: Article
Language:English
Subjects:
Analysis
Integral transforms
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
Principles
Quaternions
Uncertainty principles
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Summary: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.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-022-00705-6