Bargmann's versus of the quaternionic fractional Hankel transform

We investigate the quaternionic extension of the fractional Fourier transform on the real half-line leading to fractional Hankel transform. This will be handled à la Bargmann by means of hyperholomorphic second Bargmann transform for the slice Bergman space of second kind. Basic properties are deriv...

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Bibliographic Details
Published in:arXiv.org 2020-03
Main Authors: Abdelatif Elkachkouri, Ghanmi, Allal, Hafoud, Ali
Format: Article
Language:English
Subjects:
Fourier transforms
Online Access:Get full text
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Summary:We investigate the quaternionic extension of the fractional Fourier transform on the real half-line leading to fractional Hankel transform. This will be handled à la Bargmann by means of hyperholomorphic second Bargmann transform for the slice Bergman space of second kind. Basic properties are derived including inversion formula and Plancherel identity.
ISSN:2331-8422