The aim of this thesis is to give a self-contained introduction to the hyperbolic geometry and the theory of discrete subgroups of PSL(2,R), and to generalize the results on equivariant functions.
We show that there is a deep relation between the geometry of the group and some analytic and algebraic properties of these functions.
In addition, we provide some applications of equivariant functions consisting of new results as well as providing new and simple proofs to classical results on automorphic forms.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OOU./en#10393/20236 |
| Date | 22 September 2011 |
| Creators | Saber, Hicham |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Thèse / Thesis |
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