On spectral analysis of a magnetic Schrodinger operator on planar mixed automorphic forms

We characterize the space of the so-called planar mixed automorphic forms of type $(ν,μ)$ with respect to an equivariant pair $(ρ,τ)$ 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.

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