Aspects of Multilinear Harmonic Analysis Related to Transversality

Jonathan Bennett

Aspects of Multilinear Harmonic Analysis Related to Transversality

Mathematics

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

Abstract

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.

Original language	English
Journal	Contemporary Mathematics
Publication status	Published - 21 May 2014

Bibliographical note

28 pages. Article based on a short course given at the 9th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, 2012

Keywords

math.CA

Cite this

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abstract = "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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AB - 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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JO - Contemporary Mathematics

JF - Contemporary Mathematics

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Aspects of Multilinear Harmonic Analysis Related to Transversality

Abstract

Bibliographical note

Keywords

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Cite this