Youssef El Haoui, Said Fahlaoui
Published 2017-11-11Version 1
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.
Beurling's theorem for the Clifford-Fourier transform
Miyachi's Theorem for the Quaternion Fourier Transform
A Characterisation of the Euclidean Fourier transform on the Schwartz space
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