# Melissa Tacy (Otago)

The APDE seminar on Monday, 10/28 will be given by Melissa Tacy in Evans 939 from 4:10 to 5pm.

Title: Adapting analysis/synthesis pairs to pseudodifferential operators

Abstract:
Many problems in harmonic analysis are resolved by producing
an analysis/synthesis of function spaces. For example the Fourier or
wavelet decompositions. In this talk I will discuss how to use Fourier
integral operators to adapt analysis/synthesis pairs (developed for the
constant coefficient PDE case) to the pseudodifferential setting. I will
demonstrate how adapting a wavelet decomposition can be used to prove
$L^{p}$ bounds for joint eigenfunctions.