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arXiv · 1711.04142

Beurling's Theorem for the Two-sided Quaternion Fourier Transform

Youssef El Haoui·Said Fahlaoui
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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.

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BibTeXRIS

Youssef El Haoui, Said Fahlaoui. 2017-11-11. Beurling's Theorem for the Two-sided Quaternion Fourier Transform. https://doi.org/10.1007/s11868-019-00281-7

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