Bargmann's versus of the quaternionic fractional Hankel transform

Published 11 Mar 2020 in math.CV | (2003.05552v1)

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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