Restriction of toral eigenfunctions to hypersurfaces

被引：12
|
作者：
Bourgain, Jean [1 ]
Rudnick, Zeev [1 ,2 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
[2] Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
COMPTES RENDUS MATHEMATIQUE | 2009年 / 347卷 / 21-22期
基金：
以色列科学基金会;
关键词：
LATTICE POINTS;
D O I：
10.1016/j.crma.2009.08.008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let T(d) = R(d)/Z(d) 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). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：1249 / 1253
页数：5
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