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On the inverse of the dual fractional Hankel transform

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Abstract

We deal with the inverse problem for the so-called dual fractional Hankel transform. We derive its expansion series as well as its integral representation. Moreover, its compactness has been discussed and the corresponding singular values are given explicitly. Some properties of the kernel function have been investigated including its closed expression for some special cases.

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Authors and Affiliations

  1. Analysis, P.D.E & Spectral Geometry, Lab M.I.A.-S.I., CeReMAR, Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat, P.O. Box 1014, Rabat, Morocco

    Allal Ghanmi & Adam Hammam

Authors
  1. Allal Ghanmi
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  2. Adam Hammam
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The authors contributed to the manuscript equally.

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Correspondence to Adam Hammam.

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Ghanmi, A., Hammam, A. On the inverse of the dual fractional Hankel transform. Rend. Circ. Mat. Palermo, II. Ser 73, 1289–1297 (2024). https://doi.org/10.1007/s12215-023-00985-2

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  • DOI: https://doi.org/10.1007/s12215-023-00985-2

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