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Bahri, Mawardi; Resnawati; Musdalifah, Selvy

A version of uncertainty principle for quaternion linear canonical transform. (English) Zbl 1470.42016

Abstr. Appl. Anal. 2018, Article ID 8732457, 7 p. (2018).
Summary: In recent years, the two-dimensional (2D) quaternion Fourier and quaternion linear canonical transforms have been the focus of many research papers. In the present paper, based on the relationship between the quaternion Fourier transform (QFT) and the quaternion linear canonical transform (QLCT), we derive a version of the uncertainty principle associated with the QLCT. We also discuss the generalization of the Hausdorff-Young inequality in the QLCT domain.

Cited in 10 Documents

MSC:

42B15 Multipliers for harmonic analysis in several variables
30G35 Functions of hypercomplex variables and generalized variables
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