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Applicant:
Central University of Tamil Nadu 
Author:
Ramanathan Kamalakkannan, Rajakumar Roopkumar 
Corresponding Authors:
Rajakumar Roopkumar 
DOI #:
10.1080/10652469.2019.1684486 
Title:
Multidimensional fractional Fourier transform and generalized fractional convolution 
Journal:
Integral Transforms and Special Functions 
Year:
2020 
Volume:
31 
Page:
52-65 
Keywords:
Fractional Fourier transform, convolution, inversion theorem 
Abstract:
In this paper, we prove inversion theorems and Parseval identity for the multidimensional fractional Fourier transform. Analogous to the existing fractional convolutions on functions of single variable, we also introduce a generalized fractional convolution on functions of several variables and we derive their properties including convolution theorem and product theorem for the multidimensional fractional Fourier transform. 
Entered by:
Roopkumar Rajakumar on 2020-09-02 
 
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