A simplified proof of uncertainty principle for quaternion linear canonical transform
type: Item
instance of: scholarly article
title: A simplified proof of uncertainty principle for quaternion linear canonical transform
zbMATH Open document ID: 1470.42013
DOI: 10.1155/2016/5874930
author: Mawardi Bahri
author: Ryuichi Ashino
published in: Abstract and Applied Analysis
publication date: 2018-08-30T00:00:00Z
review text: Summary: We provide a short and simple proof of an uncertainty principle associated with the quaternion linear canonical transform (QLCT) by considering the fundamental relationship between the QLCT and the quaternion Fourier transform (QFT). We show how this relation allows us to derive the inverse transform and Parseval and Plancherel formulas associated with the QLCT. Some other properties of the QLCT are also studied.
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 6929377
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2016/5874930
OpenAlex ID: W2231390298
Wikidata QID: Q59121542
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description: scientific article; zbMATH DE number 6929377