Restriction of toral eigenfunctions to hypersurfaces

Jean Bourgain*, Zeév Rudnick

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Let Td = Rd / Zd be the d-dimensional flat torus. We establish for d = 2, 3 uniform upper and lower bounds on the restrictions of the eigenfunctions of the Laplacian to smooth hyper-surfaces with non-vanishing curvature. To cite this article: J. Bourgain, Z. Rudnick, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Original languageEnglish
Pages (from-to)1249-1253
Number of pages5
JournalComptes Rendus Mathematique
Issue number21-22
StatePublished - Nov 2009


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