Beurling's Theorem for the Two-sided Quaternion Fourier Transform
arXiv:1711.04142 · doi:10.1007/s11868-019-00281-7
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.