Restriction of toral eigenfunctions to hypersurfaces

Date
Authors
Bourgain, Jean
Rudnick, Zeev
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
We establish uniform upper and lower bounds on the restrictions of the eigenfunctions of the Laplacian on the 2- and 3-dimensional standard flat torus to smooth hyper-surfaces with non-vanishing curvature.
Comment: Added reference to Hu
Keywords
Mathematics - Spectral Theory, Mathematics - Number Theory, 58J50, 35P20, 11P21
Citation
Collections