Beurling's Theorem for the Two-sided Quaternion Fourier Transform
Classical Analysis and ODEs
2019-02-18 v1
Abstract
The two-sided quaternion Fourier transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization of Beurling's theorem, Hardy, Cowling-Price and Gelfand-Shilov theorems, is obtained for the two-sided quaternion Fourier transform.
Cite
@article{arxiv.1711.04142,
title = {Beurling's Theorem for the Two-sided Quaternion Fourier Transform},
author = {Youssef El Haoui and Said Fahlaoui},
journal= {arXiv preprint arXiv:1711.04142},
year = {2019}
}