Wavefront set of a distribution

10.12.2019, 16:15  –  Haus 9, Raum 1.10
Forschungsseminar Differentialgeometrie

Wai Tung Poon

On the presentation of my scientific project, I am going to show some properties about microlocal analysis. Firstly, I will define some basic notions about the distribution and Fourier transform of a distribution. Once we have the idea of Paley-Wiener theorem which can be a tool to detect whether a function is a compact smooth function. Secondly, we can talk about the definition of wavefront sets and then we can define the wavefront set on manifolds. Finally, I will talk about some basic properties of wavefront sets.