Upper bounds for geodesic periods over hyperbolic manifolds

Abstract

We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.

17 pages; revised version

References in corpus (5)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Symmetry breaking for representations of rank one orthogonal groups
• Rankin Triple Products and Quantum Chaos
• Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles
• Knapp-Stein type intertwining operators for symmetric pairs