# Relationship among Three Definitions of Quaternion Fourier Transforms and Inversion Formula
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85078331875
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2019
DOI: https://doi.org/10.1109/ICWAPR48189.2019.8946455
ISSN: 21585695
Citations: 0

## Authors
- Bahri M.

## Abstract
Firstly, based on basic properties of the kernel function of the quaternion Fourier transform we derive in detail relationships among three definitions of the quaternion Fourier transforms. Secondly, based on the quaternion Fourier transform of the quaternion Gaussian function we derive an inversion formula to recovering a quaternion function from the quaternion Fourier transform.

## Keywords
- Quaternion
- Fourier transform
- Fourier inversion theorem
- Mathematics
- Fourier series
- Fractional Fourier transform
- Discrete-time Fourier transform
- Discrete Fourier transform (general)
- Mathematical analysis
- Fourier analysis
- Geometry

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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