TY - JOUR
T1 - Restriction of toral eigenfunctions to hypersurfaces
AU - Bourgain, Jean
AU - Rudnick, Zeév
N1 - Funding Information:
We thank Peter Sarnak for several stimulating discussions. Supported in part by N.S.F. grant DMS 0808042 (J.B.) and Israel Science Foundation grant No. 925/06 (Z.R.).
PY - 2009/11
Y1 - 2009/11
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=71749104382&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2009.08.008
DO - 10.1016/j.crma.2009.08.008
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AN - SCOPUS:71749104382
SN - 1631-073X
VL - 347
SP - 1249
EP - 1253
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 21-22
ER -