| Speaker: Melissa Tacy Affiliation: University of Auckland Time: 3:00 pm Wednesday, 16 February, 2022 Location: https://massey.zoom.us/j/89401940496?pwd=bEdnMloySW9ZWTdJSEM0dU9OREZ1dz09 |
| Many problems in harmonic analysis are resolved by producing an analysis/synthesis of function spaces, such as 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. |