Graduate Analysis Seminar
Jack Arbunich
UIC
Oscillatory Integrals of the First Kind
Abstract: Oscillatory integrals have been an integral part of Harmonic analysis from its
conception. The Fourier transform is a ripe example of such an
oscillatory integral. One main use of oscillatory integrals is to obtain
decay estimates for Fourier transforms of measures on surfaces.
In a sense, oscillatory integrals link geometric properties of manifolds and
the harmonic analysis related to them. We will prove a few basic yet
noteworthy results on the asymptotics of oscillatory integrals in 1D.
Monday September 26, 2016 at 12:00 PM in SEO 1227