English

A characterization of planar mixed automorphic forms

Spectral Theory 2011-10-04 v1 Complex Variables Number Theory

Abstract

We characterize the space of the so-called planar mixed automorphic forms of type (ν,μ)(\nu,\mu) with respect to an equivariant pair (ρ,τ)(\rho,\tau) as the image, by an appropriate transform, of the usual (Landau) automorphic forms involving special multiplier.

Cite

@article{arxiv.1003.5520,
  title  = {A characterization of planar mixed automorphic forms},
  author = {Allal Ghanmi},
  journal= {arXiv preprint arXiv:1003.5520},
  year   = {2011}
}

Comments

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.

R2 v1 2026-06-21T15:03:51.602Z