On Katugampola Fourier Transform

Joint Authors

Salim, Tariq
Abu Hany, Atta A. K.
El-Khatib, Mohammed S.

Source

Journal of Mathematics

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-10-01

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Salim, Tariq& Abu Hany, Atta A. K.& El-Khatib, Mohammed S.. 2019. On Katugampola Fourier Transform. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1181388

Modern Language Association (MLA)

Salim, Tariq…[et al.]. On Katugampola Fourier Transform. Journal of Mathematics No. 2019 (2019), pp.1-6.
https://search.emarefa.net/detail/BIM-1181388

American Medical Association (AMA)

Salim, Tariq& Abu Hany, Atta A. K.& El-Khatib, Mohammed S.. On Katugampola Fourier Transform. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-6.
https://search.emarefa.net/detail/BIM-1181388

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1181388