On Katugampola Fourier Transform: Critical Overview

Salim, Tariq O. and Abu Hany, Atta A. K. and El-Khatib, Mohammed S. (2020) On Katugampola Fourier Transform: Critical Overview. In: Recent Studies in Mathematics and Computer Science Vol. 1. B P International, pp. 29-44. ISBN 978-93-89816-17-4

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Abstract

The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be
considered as one of the generalizations of the usual (classical) Fourier transform. We imploy the new
Katugampola derivative to obtain some properties of Katugampola Fourier transform, and find the relation
between Katugampola Fourier transform and the usual Fourier transform. The inversion formula and the
convolution theorem for Katugampola Fourier transform are considered.

Item Type: Book Section
Subjects: Apsci Archives > Mathematical Science
Depositing User: Unnamed user with email support@apsciarchives.com
Date Deposited: 23 Nov 2023 05:58
Last Modified: 23 Nov 2023 05:58
URI: http://eprints.go2submission.com/id/eprint/2302

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