On Katugampola Fourier Transform: Critical Overview
Recent Studies in Mathematics and Computer Science Vol. 1,
Page 29-44
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.
Keywords:
- Katugampola derivative
- Katugampola Fourier transform
How to Cite
Salim, T. O., Hany, A. A. K. A., & El-Khatib, M. S. (2020). On Katugampola Fourier Transform: Critical Overview. Recent Studies in Mathematics and Computer Science Vol. 1, 29-44. Retrieved from https://stm1.bookpi.org/index.php/rsmcs-v1/article/view/1133
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