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

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

2007-08-24

arxiv.org/abs/0708.3357v4

J. Math. Anal. App., vol. 383, no2 (2011) pp. 474-481

Mathematics

Spectral Theory

10 pages. This is a substantially reorganized, revised and improved exposition. Misprints corrected and references added. Subm

Scientific paper

10.1016/j.jmaa.2011.05.040

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.

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