On Spectral Analysis of a Magnetic Schrödinger Operator on Planar Mixed Automorphic Forms
نویسنده
چکیده
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 Schrödinger operator acting on them. The associated polynomials constitute classes of generalized complex polynomials of Hermite type.
منابع مشابه
A Characterization of 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, by an appropriate transform, of the usual (Landau) automorphic forms involving special multiplier.
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