Bargmann's versus of the quaternionic fractional Hankel transform
arXiv:2003.05552
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 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.
arXiv comment15 pages