Jonathan Bennett
Published 2014-05-21Version 1
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.
Comments: 28 pages. Article based on a short course given at the 9th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, 2012
Journal: Contemporary Mathematics, Volume 612, 2014
On multilinear oscillatory integrals, nonsingular and singular
Behaviour of the Brascamp--Lieb constant
Transversality of isotropic projections, unrectifiability and Heisenberg groups
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