@article{194ead5e21f5469f8d156ad65aec7e4d,
title = "Restriction of toral eigenfunctions to hypersurfaces and nodal sets",
abstract = "We give uniform upper and lower bounds for the L 2 norm of the restriction of eigenfunctions of the Laplacian on the three-dimensional standard flat torus to surfaces with non-vanishing curvature. We also present several related results concerning the nodal sets of eigenfunctions.",
author = "Jean Bourgain and Ze{\'e}v Rudnick",
note = "Funding Information: The authors are indebted to P. Sarnak for many stimulating discussions on the material presented in the paper. J.B. was supported in part by N.S.F. grant DMS 0808042. Z.R. was supported by the Oswald Veblen Fund during his stay at the Institute for Advanced Study and by the Israel Science Foundation (grant No. 1083/10).",
year = "2012",
month = aug,
doi = "https://doi.org/10.1007/s00039-012-0186-3",
language = "الإنجليزيّة",
volume = "22",
pages = "878--937",
journal = "Geometric and Functional Analysis",
issn = "1016-443X",
publisher = "Birkhauser Verlag Basel",
number = "4",
}