Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces
| dc.creator | Foth, Tatyana | |
| dc.creator | Katok, Svetlana | |
| dc.date | 1999-11-08 | |
| dc.date | 2000-03-08 | |
| dc.date.accessioned | 2026-07-07T05:31:29Z | |
| dc.date.available | 2026-07-07T05:31:29Z | |
| dc.description | Let G be a semisimple Lie group with no compact factors, K a maximal compact subgroup of G, and $Γ$ a lattice in G. We study automorphic forms for $Γ$ if G is of real rank one with some additional assumptions, using dynamical approach based on properties of the homogeneous flow on $Γ\backslash G$ and a Livshitz type theorem we prove for such a flow. In the Hermitian case G=SU(n,1) we construct relative Poincare series associated to closed geodesics on $Γ\backslash G/K$ for one-dimensional representations of K, and prove that they span the corresponding spaces of cusp forms. | |
| dc.description | 33 pages, 1 figure; accepted for publication in "Ergodic Theory and Dynamical Systems"; final version | |
| dc.identifier | https://arxiv.org/abs/math/9911046 | |
| dc.identifier | http://arxiv.org/abs/math/9911046 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79361 | |
| dc.subject | Complex Variables | |
| dc.subject | Differential Geometry | |
| dc.subject | Dynamical Systems | |
| dc.subject | 32N15 | |
| dc.title | Spanning sets for automorphic forms and dynamics of the frame flow on complex hyperbolic spaces | |
| dc.type | text |