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Benedicks-Amrein-Berthier type theorem related to the two-sided Quaternion Fourier transform. (arXiv:1807.04079v1 [math.CA])
来源于:arXiv
The main objective of the present paper is to establish a new uncertainty
principle (UP) for the two-sided quaternion Fourier transform (QFT). This
result is an extension of a result of Benedicks, Amrein and Berthier, which
states that a nonzero function in $L^1\left({\mathbb{R}}^2,
{\mathbb{H}}\right)$ and its two-sided QFT cannot both have support of finite
measure. 查看全文>>
