On Katugampola Fourier Transform: Critical Overview | Chapter 3 | Recent Studies in Mathematics and Computer Science Vol. 1

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. 

Author(s) Details
Tariq O. Salim
Department of Mathematics, Al-Azhar University, Gaza, Palestine.

Atta A. K. Abu Hany
Department of Mathematics, Al-Azhar University, Gaza, Palestine.

Mohammed S. El-Khatib
Department of Mathematics, Al-Azhar University, Gaza, Palestine.

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