An introduction to microlocal analysis with applications to inverse problems, summer 2016

Teacher: Gunther Uhlmann 

Scope: 1+1cr. 1 for attending lectures + 1 for solving exercise problems

Type:

Teaching:

Topics:

Microlocal analysis, which is roughly speaking local analysis in 
phase space, has its roots in the classical methods of geometrical optics. 
In this minicourse we will introduce several basic concepts like wave 
front set, pseudodifferential operators and Fourier integral operators and 
apply them to study several inverse problems arising in different 
applications like X-ray tomography, seismic imaging, photoacoustic and 
thermoacoustic tomography, and electrical impedance tomography, also 
called Calderòn's problem.

Prerequisites:

Basics of Fourier and Functional analysis. Basics of Sobolev spaces.