Geodesic restrictions for the Casimir operator

Details Geodesic restrictions for the Casimir operator Geodesic restrictions for the Casimir operator

2010-12-13

arxiv.org/abs/1012.2853v2

Mathematics

Analysis of PDEs

Final version. To appear in J. of Functional Analysis

Scientific paper

We consider the hyperbolic Casimir operator C defined on the tangent sphere
bundle SY of a compact hyperbolic Riemann surface Y. We prove a nontrivial
bound on the L^2-norm of the restriction of eigenfunctions of C to certain
natural hypersurfaces in SY. The result that we obtain goes beyond known
(sharp) local bounds of L. Hormander.

Affiliated with

Also associated with

No associations

Rating

Geodesic restrictions for the Casimir operator 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 Geodesic restrictions for the Casimir operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic restrictions for the Casimir operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177758