Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

被引：65
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
收藏
页码：441 / 458
页数：18
相关论文
共 9 条
  • [1] On the multilinear restriction and Kakeya conjectures
    Bennett, Jonathan
    Carbery, Anthony
    Tao, Terence
    [J]. ACTA MATHEMATICA, 2006, 196 (02) : 261 - 302
  • [2] BOUNDED ORTHOGONAL SYSTEMS AND THE LAMBDA (P)-SET PROBLEM
    BOURGAIN, J
    [J]. ACTA MATHEMATICA, 1989, 162 (3-4) : 227 - 245
  • [3] Bourgain J., 1993, Geom. Funct. Anal., V3, P107
  • [4] Bourgain J., GEOMETRIC FUNCTIONAL
  • [5] Bourgain J., 2011, HDB GEOMETRY BANACH, VI, P195
  • [6] Bourgain J., 2007, ANN MATH, V63, P1
  • [7] Bourgain J., 1993, INT MATH RES NOTICES, P61
  • [8] BOUNDS ON OSCILLATORY INTEGRAL OPERATORS BASED ON MULTILINEAR ESTIMATES
    Bourgain, Jean
    Guth, Larry
    [J]. GEOMETRIC AND FUNCTIONAL ANALYSIS, 2011, 21 (06) : 1239 - 1295
  • [9] Guruswami V, 2008, PROCEEDINGS OF THE NINETEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, P353
1