  We characterize the space of the so-called planar mixed automorphic forms of
type $(\nu,\mu)$ with respect to an equivariant pair $(\rho,\tau)$ as the image
of the usual automorphic forms by an appropriate transform and we investigate
some concrete basic spectral properties of a magnetic Schrodinger operator
acting on them. The associated polynomials constitute classes of generalized
complex polynomials of Hermite type.
