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Bahri, Mawardi; Ashino, Ryuichi

A convolution theorem related to quaternion linear canonical transform. (English) Zbl 1474.44006

Abstr. Appl. Anal. 2019, Article ID 3749387, 9 p. (2019).
Summary: We introduce the two-dimensional quaternion linear canonical transform (QLCT), which is a generalization of the classical linear canonical transform (LCT) in quaternion algebra setting. Based on the definition of quaternion convolution in the QLCT domain we derive the convolution theorem associated with the QLCT and obtain a few consequences.

MSC:

44A15 Special integral transforms (Legendre, Hilbert, etc.)
30G35 Functions of hypercomplex variables and generalized variables
44A35 Convolution as an integral transform
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References:

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