Restrictions of SL_3 Maass forms to maximal flat subspaces

Abstract

Let ψbe a Hecke-Maass form on a cubic division algebra over \Q. We apply arithmetic amplification to improve the local bound for the L^2 norm of ψrestricted to maximal flat subspaces.

22 pages

References in corpus (2)

• Geodesic restrictions of arithmetic eigenfunctions
• Subconvexity for sup-norms of automorphic forms on PGL(n)