On trilinear oscillatory integrals

Michael Christ; Diogo Oliveira e Silva

doi:10.4171/rmi/795

JournalsrmiVol. 30, No. 2pp. 667–684

On trilinear oscillatory integrals

Michael Christ
University of California, Berkeley, USA
Diogo Oliveira e Silva
Universität Bonn, Germany

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Abstract

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

Cite this article

Michael Christ, Diogo Oliveira e Silva, On trilinear oscillatory integrals. Rev. Mat. Iberoam. 30 (2014), no. 2, pp. 667–684

DOI 10.4171/RMI/795