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

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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