# A Simplified Proof of Uncertainty Principle for Quaternion Linear Canonical Transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_84955487911
Jurnal / Konferensi: Abstract and Applied Analysis
Tahun terbit: 2016
DOI: https://doi.org/10.1155/2016/5874930
ISSN: 10853375
Kuartil SJR: Q4
Citations: 57

## Authors
- Bahri M.

## Abstract
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.

## Keywords
- Parseval's theorem
- Mathematics
- Quaternion
- Inverse
- Simple (philosophy)
- Fourier transform
- Uncertainty principle
- Pure mathematics
- Mathematical analysis
- Fractional Fourier transform
- Fourier analysis
- Geometry
- Philosophy
- Quantum
- Epistemology
- Physics
- Quantum mechanics

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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