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Roopkumar, Rajakumar

One-dimensional quaternionic special affine Fourier transform. (English) Zbl 1489.46075

Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 73, 13 p. (2021).
Summary: We extend the special affine Fourier transform in the context of quaternion valued functions and study its properties including an uncertainty principle. The same transform is studied on a suitably constructed Boehmian space.

MSC:

46S05 Quaternionic functional analysis
44A15 Special integral transforms (Legendre, Hilbert, etc.)
44A35 Convolution as an integral transform
46F12 Integral transforms in distribution spaces

Keywords:

special affine transform; quaternion valued functions; convolution; Boehmians
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\textit{R. Roopkumar}, Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 73, 13 p. (2021; Zbl 1489.46075)
Full Text: DOI

References:

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