Caltech/UCLA Joint Analysis Seminar

UCLA, MS 6627

Integrals with rapidly oscillating factors arise in many contexts, and an extensive theory provides upper bounds and asymptotics in various circumstances. The theory of multilinear oscillatory integrals of degree three and higher is, however, relatively undeveloped. Several results for the trilinear case will be presented, the underlying method of analysis will be outlined, and an application to weak continuity of certain trilinear products will be discussed.