On Katugampola Fourier Transform
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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/5942139 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832567073327284224 |
|---|---|
| author | Tariq O. Salim Atta A. K. Abu Hany Mohammed S. El-Khatib |
| author_facet | Tariq O. Salim Atta A. K. Abu Hany Mohammed S. El-Khatib |
| author_sort | Tariq O. Salim |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fa49d54ba8584e1483e689589b40ea59 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fa49d54ba8584e1483e689589b40ea592025-02-03T01:02:30ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/59421395942139On Katugampola Fourier TransformTariq O. Salim0Atta A. K. Abu Hany1Mohammed S. El-Khatib2Department of Mathematics, Al-Azhar Universiry-Gaza, Gaza, State of PalestineDepartment of Mathematics, Al-Azhar Universiry-Gaza, Gaza, State of PalestineDepartment of Mathematics, Al-Azhar Universiry-Gaza, Gaza, State of PalestineThe 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.http://dx.doi.org/10.1155/2019/5942139 |
| spellingShingle | Tariq O. Salim Atta A. K. Abu Hany Mohammed S. El-Khatib On Katugampola Fourier Transform Journal of Mathematics |
| title | On Katugampola Fourier Transform |
| title_full | On Katugampola Fourier Transform |
| title_fullStr | On Katugampola Fourier Transform |
| title_full_unstemmed | On Katugampola Fourier Transform |
| title_short | On Katugampola Fourier Transform |
| title_sort | on katugampola fourier transform |
| url | http://dx.doi.org/10.1155/2019/5942139 |
| work_keys_str_mv | AT tariqosalim onkatugampolafouriertransform AT attaakabuhany onkatugampolafouriertransform AT mohammedselkhatib onkatugampolafouriertransform |