Norms of modes and quasi-modes revisited
Norms of modes and quasi-modes revisited
This article is devoted to the analysis of eigenfunctions (modes) and approx- imate eigenfunctions (quasi-modes) of the Laplacian on a compact manifold (M, g) with completely integrable geodesic flow. We give a new proof of the main result of (TZ) that (M, g) with integrable Laplacians and with uniformly bounded …