# Fractional Fourier Transform: Main Properties and Inequalities
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_85149869330
Jurnal / Konferensi: Mathematics
Tahun terbit: 2023
DOI: https://doi.org/10.3390/math11051234
ISSN: 22277390
Kuartil SJR: Q2
Citations: 24

## Authors
- Bahri M.

## Abstract
The fractional Fourier transform is a natural generalization of the Fourier transform. In this work, we recall the definition of the fractional Fourier transform and its relation to the conventional Fourier transform. We exhibit that this relation permits one to obtain easily the main properties of the fractional Fourier transform. We investigate the sharp Hausdorff-Young inequality for the fractional Fourier transform and utilize it to build Matolcsi-Szücs inequality related to this transform. The other versions of the inequalities concerning the fractional Fourier transform is also discussed in detail. The results obtained in this paper are very significant, especially in the field of fractional differential equations.

## Keywords
- Fractional Fourier transform
- Mathematics
- Fourier transform
- Fourier transform on finite groups
- Non-uniform discrete Fourier transform
- Discrete Fourier transform (general)
- Harmonic wavelet transform
- Hartley transform
- Mathematical analysis
- Short-time Fourier transform
- Discrete-time Fourier transform
- Fourier analysis
- Computer science
- Wavelet transform
- Artificial intelligence
- Discrete wavelet transform
- Wavelet

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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