Aspects of Multilinear Harmonic Analysis Related to Transversality

By Jonathan Bennett. 2014

47 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/686f29ce6f9fc1466bef50fb786670d85fdf3d6b

Citations in the corpus

• Sharp estimates for oscillatory integral operators via polynomial partitioning (2017, unknown): “[3] Jonathan Bennett, Aspects of multilinear harmonic analysis related to transversality, Har- monic analysis and partial differential equations, Contemp.”