Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory

Details Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory

2004-03-25

arxiv.org/abs/math/0403437v3

Mathematics

Analysis of PDEs

An updated version of the text not intended for a publication for being obsolete. A remark on a bound for a period added.

Scientific paper

We consider restrictions along closed geodesics and geodesic circles for eigenfunctions of the Laplace-Beltrami operator on a compact hyperbolic Riemann surface. We obtain a non-trivial bound on the L^2-norm of such restrictions as the eigenvalue tends to infinity. We use methods from the theory of automorphic functions and in particular the uniqueness of invariant functionals on irreducible unitary representations of PGL(2,R).

Affiliated with

Also associated with

No associations

Rating

Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Norms of geodesic restrictions for eigenfunctions on hyperbolic surfaces and representation theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-539983