27 citations · 32 across the 3 of their papers we have counts for
4 papers
The Lewis Correspondence for submodular groups
Anton Deitmar, Joachim Hilgert
The Lewis Correspondence attaching a unique "period function" to each Maass wave form for SL(2,Z) is extended to subgroups of finite index. This is achieved by using vector-valued…
Cohomology of arithmetic groups with infinite dimensional coefficient spaces
Anton Deitmar, Joachim Hilgert
The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjectu…
Transfer operators for and the Hecke operators for the period functions for
J. Hilgert, D. Mayer, H. Movasati
In this article we report on a surprising relation between the transfer operators for the congruence subgroups and the Hecke operators on the space of period functions f…
The dynamical zeta function and transfer operators for the Kac-Baker model
J. Hilgert, D. Mayer
The Kac-Baker model describes a 1-dim. classical lattice spin system with exponentially fast decaying two body interaction. The model was introduced by M. Kac and G. Baker to inves…