Restriction of toral eigenfunctions to hypersurfaces

Details Restriction of toral eigenfunctions to hypersurfaces Restriction of toral eigenfunctions to hypersurfaces

2009-07-28

arxiv.org/abs/0907.4824v2

Mathematics

Spectral Theory

Added reference to Hu

Scientific paper

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.

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