Selberg Zeta Functions, Cuspidal Accelerations, and Existence of StrictTransfer Operator Approaches

Anke Pohl, University of Bremen, Germany, and Paul Wabnitz, University of Bremen, Germany

1. Introduction 2. Elements of hyperbolic geometry 3. Cross sections, sets of branches, and transfer operators 4. Branch reduction 5. Identity elimination and reduced set of branches 6. Cuspidal acceleration 7. Structure of accelerated system 8. Existence of strict transfer operator approaches 9. A detailed example