Quaternionic one-dimensional fractional Fourier transform

In this paper, we introduce quaternionic fractional Fourier transform of integrable (and square integrable) functions on ℝ and prove that it is satisfying all the expected properties like linearity, inversion formula, Parseval's formula, convolution theorem and product theorem.

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Bibliographic Details
Published in:Optik (Stuttgart) 2016-12, Vol.127 (24), p.11657-11661
Main Author: Roopkumar, Rajakumar
Format: Article
Language:English
Subjects:
Convolution
Fractional Fourier transform
Quaternion valued functions
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Description
Summary:In this paper, we introduce quaternionic fractional Fourier transform of integrable (and square integrable) functions on ℝ and prove that it is satisfying all the expected properties like linearity, inversion formula, Parseval's formula, convolution theorem and product theorem.
ISSN:0030-4026
1618-1336
DOI:10.1016/j.ijleo.2016.09.069