Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

被引：68

作者：

Bourgain, J. ^{[1
]}

机构：

[1] Inst Adv Study, Princeton, NJ 08540 USA

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2013年 / 193卷 / 01期

基金：

美国国家科学基金会;

关键词：

Fundamental Form; Trigonometric Polynomial; Moment Inequality; Exponential Polynomial; Compact Hypersurface;

D O I：

10.1007/s11856-012-0077-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A new moment inequality is obtained for the eigenfunctions I center dot of the flat tours I (n) . More specifically, it is known that the is almost uniformaly bounded. Simillar results are established for the periodiec Schrodinger group.

引用

页码：441 / 458

页数：18

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