Article ID Journal Published Year Pages File Type
4591498 Journal of Functional Analysis 2011 24 Pages PDF
Abstract

We consider the hyperbolic Casimir operator C defined on the tangent sphere bundle SY of a compact hyperbolic Riemann surface Y. We prove a non-trivial bound on the L2-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. Hörmander.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory