Restriction of toral eigenfunctions to hypersurfaces and nodal sets

被引：0
|
作者：
Jean Bourgain
Zeév Rudnick
机构：
[1] Institute for Advanced Study,School of Mathematics
[2] Tel Aviv University,Raymond and Beverly Sackler School of Mathematical Sciences
来源：
Geometric and Functional Analysis | 2012年 / 22卷
关键词：
Lattice Point; Trigonometric Polynomial; Geodesic Segment; Nodal Domain; Real Analytic Hypersurface;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give uniform upper and lower bounds for the L2 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.
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页码：878 / 937
页数：59
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