  Some minimal representations of SL(n,R) can be realized on a Hilbert space of
holomorphic functions. This is the analogue of the Brylinski-Kostant model.
They can also be realized on a Hilbert space of homogeneous functions on
${\bboard R}^n$. This is the analogue of the Kobayashi-Orsted model. We will
describe the two realizations and a transformation which maps one model to the
other. It can be seen as an analogue of the classical Bargmann transform.
