On Trilinear Oscillatory Integrals

Michael Christ; Diogo Oliveira e Silva

doi:10.4171/RMI/795

On Trilinear Oscillatory Integrals

Michael Christ, Diogo Oliveira e Silva

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

138 Downloads (Pure)

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.

Original language	English
Pages (from-to)	667-684
Journal	Revista Matematica Iberoamericana
Volume	30
Issue number	2
DOIs	https://doi.org/10.4171/RMI/795
Publication status	Published - 8 Jul 2014

Bibliographical note

16 pages

Keywords

math.CA
42B20
multilinear oscillatory integral
stationary phase
sublevel set estimates

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Christ_&_Silva_On_trilinear_oscillatory_integrals_Revista_Matemática_Iberoamericana_2014Submitted manuscript, 201 KBLicence: None: All rights reserved

Cite this

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title = "On Trilinear Oscillatory Integrals",

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.",

keywords = "math.CA, 42B20, multilinear oscillatory integral, stationary phase, sublevel set estimates",

author = "Michael Christ and Silva, {Diogo Oliveira e}",

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AB - 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.

KW - math.CA

KW - 42B20

KW - multilinear oscillatory integral

KW - stationary phase

KW - sublevel set estimates

U2 - 10.4171/RMI/795

DO - 10.4171/RMI/795

M3 - Article

SN - 0213-2230

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JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 2

ER -

On Trilinear Oscillatory Integrals

Abstract

Bibliographical note

Keywords

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Cite this