Harmonic Analysis Seminar: A Decoupling Inequality

Seminar | April 24 | 1:10-2 p.m. | 736 Evans Hall

 Kevin O'Neill, UC Berkeley

 Department of Mathematics

Decoupling inequalities express a form of orthogonality, in certain $L^p$ norms, for functions whose Fourier transforms are supported in small neighborhoods of curved submanifolds of Euclidean space. This talk will be an introduction (building on last week's pre-introduction) to the decoupling inequality of Bourgain and Demeter for paraboloids in $R^d$, for $d\ge 2$.