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

Published 11 Nov 2017 in math.CA | (1711.04142v1)

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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