Aspects of multilinear harmonic analysis related to transversality

被引：28
作者：
Bennett, Jonathan [1 ]
机构：
[1] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England
来源：
HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 612卷
关键词：
OSCILLATORY INTEGRAL-OPERATORS; RESTRICTION-THEOREMS; BILINEAR APPROACH; MAXIMAL-FUNCTION; INEQUALITIES; BOUNDS; CONE; MULTIPLIERS; TRANSFORMS;
D O I：
10.1090/conm/612/12221
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this article is to survey certain aspects of multilinear harmonic analysis related to notions of transversality. Particular emphasis will be placed on the multilinear restriction theory for the euclidean Fourier transform, multilinear oscillatory integrals, multilinear geometric inequalities, multilinear Radon-like transforms, and the interplay between them.
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页码：1 / 28
页数：28
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