Spectral analysis on planar mixed automorphic forms |
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| Authors: | A. El Gourari |
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| Affiliation: | a Department of Mathematics, Faculty of Sciences, Ibn Tofail University, Kenitra, Morocco
b Department of Mathematics, Faculty of Sciences, P.O. Box 1014, Mohammed V University, Agdal, 10000 Rabat, Morocco |
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| Abstract: | We introduce and we carry out some concrete spectral properties of a class of magnetic Schrödinger operators leaving invariant the space of the planar mixed automorphic forms of type (ν,μ) with respect to an equivariant pair (ρ,τ) and given lattice Γ⊂C. The associated polynomials constitute classes of generalized complex polynomials of Hermite type. |
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| Keywords: | Planar mixed automorphic forms Invariant Laplacian Spectrum Eigenprojector kernel Generalized complex Hermite polynomials |
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