# Mathematical Sciences Research Institute

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# Seminar

Harmonic Analysis Seminar: A multilinear extension identity on $L^2(\mathbb{R}^n)$ April 17, 2017 (02:00 PM PDT - 03:00 PM PDT)
Parent Program: Harmonic Analysis MSRI: Simons Auditorium
Speaker(s) Jonathan Bennett (University of Birmingham)
Description No Description
Video
Restriction theory naturally gravitates towards settings where the decisive estimates appear to be on $L^2$. Obvious examples of this are the bilinear, multilinear and polynomial approaches of recent years. The main purpose of this talk is to explore $L^2$ estimates in multilinear contexts, with particular emphasis on an elementary $L^2$ identity for the $n$-linear extension operator on $\mathbb{R}^n$. This is joint work with Marina Iliopoulou.