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Restriction of toral eigenfunctions to hypersurfaces
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🧮 math.SP
math.NT
keywords
eigenfunctionsboundscurvaturedimensionalestablishflathyper-surfaceshypersurfaces
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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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