# Duality property of two-sided quaternion fourier transform
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85057307007
Jurnal / Konferensi: International Conference on Wavelet Analysis and Pattern Recognition
Tahun terbit: 2018
DOI: https://doi.org/10.1109/ICWAPR.2018.8521310
ISSN: 21585695
Citations: 5

## Authors
- Bahri M.

## Abstract
An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion Fourier transform is presented. It is shown that the inverse of the two-sided quaternion Fourier transform is continuous and bounded on ℝ2. The duality property of the two-sided quaternion Fourier transform is established. The alternative form of the Hausdorff-Young inequality associated with the two-sided quaternion Fourier transform is expressed.

## Keywords
- Parseval's theorem
- Fourier transform
- Quaternion
- Mathematics
- Discrete Fourier transform (general)
- Fourier inversion theorem
- Pure mathematics
- Fractional Fourier transform
- Discrete-time Fourier transform
- Inverse
- Fourier analysis
- Mathematical analysis
- Geometry

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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