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Donoho-Stark’s uncertainty principle for the quaternion Fourier transform. (English) Zbl 1442.42018

Summary: The (right-sided) quaternion Fourier transform satisfies some uncertainty principles in a similar way to the Euclidean Fourier transform. Donoho-Stark’s uncertainty principle is obtained for the quaternion Fourier transform.

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
44A35 Convolution as an integral transform
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
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