TY - JOUR
A2 - Huang, Nan-Jing
AU - Salim, Tariq O.
AU - Abu Hany, Atta A. K.
AU - El-Khatib, Mohammed S.
PY - 2019
DA - 2019/10/01
TI - On Katugampola Fourier Transform
SP - 5942139
VL - 2019
AB - 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 employ the new Katugampola derivative to obtain some properties of the Katugampola Fourier transform and find the relation between the Katugampola Fourier transform and the usual Fourier transform. The inversion formula and the convolution theorem for the Katugampola Fourier transform are considered.
SN - 2314-4629
UR - https://doi.org/10.1155/2019/5942139
DO - 10.1155/2019/5942139
JF - Journal of Mathematics
PB - Hindawi
KW -
ER -