# Convolution theorems for quaternion fourier transform: Properties and applications
> Bahri M.

URL kanonis: https://discover.unhas.ac.id/publications/pub_scopus_84888863914
Jurnal / Konferensi: Abstract and Applied Analysis
Tahun terbit: 2013
DOI: https://doi.org/10.1155/2013/162769
ISSN: 10853375
Kuartil SJR: Q4
Citations: 48

## Authors
- Bahri M.

## Abstract
General convolution theorems for two-dimensional quaternion Fourier transforms (QFTs) are presented. It is shown that these theorems are valid not only for real-valued functions but also for quaternion-valued functions. We describe some useful properties of generalized convolutions and compare them with the convolution theorems of the classical Fourier transform. We finally apply the obtained results to study hypoellipticity and to solve the heat equation in quaternion algebra framework.

## Keywords
- Mathematics
- Quaternion
- Convolution (computer science)
- Convolution theorem
- Fourier transform
- Algebra over a field
- Convolution power
- Fourier inversion theorem
- Pure mathematics
- Mathematical analysis
- Fourier analysis
- Fractional Fourier transform
- Geometry
- Computer science
- Machine learning
- Artificial neural network

---
Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
Saat mengutip, gunakan DOI bila tersedia atau URL kanonis di atas.