F. Bouzeffour, M. Garayev
abstract:
We present the connection between Hartley transform (HT) and a one-dimensional
realization by difference-differential operator of
$N=\frac{1}{2}$-supersymmetric quantum mechanics elaborated by S. Post, L. Vinet
and A. Zhedanov. The key feature of our approach is that the Hartley transform
commutes with the supercharge and provides the overcomplete bases of the HT
eigenvectors.
Mathematics Subject Classification: 37K20, 81Q60
Key words and phrases: Special functions, supersymmetry