Local and global symbols for operators on the torus and any compact Lie group
Analysis and Geometry Seminar
14th November 2017, 3:00 pm – 4:00 pm
Howard House, 2nd Floor Seminar Room
This talk will start with a personal and partial overview of harmonic analysis. We will discuss its relation with the pseudo-differential theory, in particular on the torus and more generally on compact Lie groups. Indeed, on a compact manifold a pseudo-differential operator may be described locally by its Euclidean symbol on any chart. When the compact manifold is also a Lie group, for example like the torus, the operator can be described with a global symbol using Fourier series. We will also present recent results studying the link between the global and local symbols.