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arXiv · 2003.05552

Bargmann's versus of the quaternionic fractional Hankel transform

Abdelatif Elkachkouri·Allal Ghanmi·Ali Hafoud
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Abstract

We investigate the quaternionic extension of the fractional Fourier transform on the real half-line leading to fractional Hankel transform. This will be handled \`a 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.

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Abdelatif Elkachkouri, Allal Ghanmi, Ali Hafoud. 2020-03-11. Bargmann's versus of the quaternionic fractional Hankel transform. https://arxiv.org/abs/2003.05552

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