On Trilinear Oscillatory Integrals

2011/07/13 by Michael Christ, Christ, Michael, Diogo Oliveira e Silva +1
Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20

paper · pdf · doi:10.48550/arxiv.1107.2495

16 pages

arxiv created 2011/07/13 · arxiv updated 2011/07/14

Abstract

We examine a certain class of trilinear integral operators which incorporate oscillatory factors e^iP, where P is a real-valued polynomial, and prove smallness of such integrals in the presence of rapid oscillations.

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