Deformed Hankel transform of Dini – Lipschitz functions

Authors

  • A. Elgargati Laboratory Fundamental and Applied Mathematics, Univ. Hassan II, Casablanca, Morocco
  • M. El Loualid Chouaib Doukkali Univ. El Jadida, Nat. School Applied Sci., Sci. Engineer Lab. Energy, El Jadida,Morocco https://orcid.org/0000-0002-2915-1772
  • R. Daher Laboratory Fundamental and Applied Mathematics, Univ. Hassan II, Casablanca, Morocco

DOI:

https://doi.org/10.37863/umzh.v74i8.6134

Keywords:

Deformed Hankel transfor, Titchmarsh theore, Symmetric differenc

Abstract

UDC 517.5

By using a generalized symmetric difference Δmh of order m and step h>0, we obtain an analog of the Titchmarsh theorems [Introduction to the theory of Fourier integrals, Oxford Univ. Press (1948)] (Theorems 84 and 85) for the deformed Hankel transform.
We also provide a further extension of the theorem cited above for functions in Lpk with an abstract deformed Hankel – Dini – Lipschitz condition.

References

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E. S. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press (1948).

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Published

04.10.2022

Issue

Vol. 74 No. 8 (2022)

Section

Research articles

How to Cite

Elgargati , A., et al. “Deformed Hankel Transform of Dini – Lipschitz Functions”. Ukrains’kyi Matematychnyi Zhurnal, vol. 74, no. 8, Oct. 2022, pp. 1118-27, https://doi.org/10.37863/umzh.v74i8.6134.