A characterization of planar mixed automorphic forms

Abstract

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, by an appropriate transform, of the usual (Landau) automorphic forms involving special multiplier.

The main result is in fact contained in a previous paper (arXiv.org:0708.3357). The actual version is written without the use the spectral theory of the differential operator involved in such paper.

References in corpus (2)

• Landau (Γ,χ)-automorphic functions on \mathbb{C}^n of magnitude ν
• On spectral analysis of a magnetic Schrodinger operator on planar mixed automorphic forms

Cited by in corpus (2)

• On spectral analysis of a magnetic Schrodinger operator on planar mixed automorphic forms
• A lifting theorem for planar mixed automorphic functions and applications