# Mathematical Sciences Research Institute

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# Seminar

MLA - Regular Seminar (part 1): Adapting analysis/synthesis pairs to pseudodifferential operators October 31, 2019 (11:00 AM PDT - 12:00 PM PDT)
Parent Program: Microlocal Analysis MSRI: Simons Auditorium
Speaker(s) Melissa Tacy (University of Otago)
Description No Description
Video
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.