Free boson realization of the Dunkl intertwining operator in one dimension

The operator that intertwines between the ${\mathbb{Z}}_2$ - Dunkl operator and the derivative is shown to have a realization in terms of the oscillator operators in one dimension. This observation rests on the fact that the Dunkl intertwining operator maps the Hermite polynomials on the generalized Hermite polynomials.