Bargmann's versus of the quaternionic fractional Hankel transform
Complex Variables
2020-03-13 v1
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.
Cite
@article{arxiv.2003.05552,
title = {Bargmann's versus of the quaternionic fractional Hankel transform},
author = {Abdelatif Elkachkouri and Allal Ghanmi and Ali Hafoud},
journal= {arXiv preprint arXiv:2003.05552},
year = {2020}
}
Comments
15 pages