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On Katugampola Fourier Transform

Author

Listed:
  • Tariq O. Salim
  • Atta A. K. Abu Hany
  • Mohammed S. El-Khatib

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 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.

Suggested Citation

  • Tariq O. Salim & Atta A. K. Abu Hany & Mohammed S. El-Khatib, 2019. "On Katugampola Fourier Transform," Journal of Mathematics, Hindawi, vol. 2019, pages 1-6, October.
    • Handle: RePEc:hin:jjmath:5942139
    DOI: 10.1155/2019/5942139
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    Cited by:

    1. Tauli-Corpuz, Vicky & Alcorn, Janis & Molnar, Augusta & Healy, Christina & Barrow, Edmund, 2020. "Cornered by PAs: Adopting rights-based approaches to enable cost-effective conservation and climate action," World Development, Elsevier, vol. 130(C).

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