Adapting analysis/synthesis pairs to pseudodifferential operators

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.

L'exposé aura lieu en ligne, au lien suivant
https://greenlight.lal.cloud.math.cnrs.fr/b/vin-pmf-z97
et sera retransmis dans l'amphi Lebesgue.

Notez-bien l'horaire inhabituel, dû au décalage horaire important.