Lecturer: Dr. Georgios Psaradakis (B6 - Office C4.03)
Date: Di. 15:30 - 17:00 in B6 - 26, A301, Do. 15:30 - 17:00 in B6 - 26, A305
Tutorial: Mo. 13:45 - 15:15 in B6 - 26, A302
Prerequisites: Linear algebra I, Analysis I,II.
It is a master course, however, all bachelor students who have already „Analysis I and II“ are welcome to join.
The main reference will be:
You can get them in the following SpringerLinks (internet connection provided by the Univ. Mannheim is required)
This course will start with some basic knowledge of real analysis, including measure and integration. Then we will go into some advanced topics in analysis, such as L^p spaces, symmetric decreasing rearrangement of functions and Riesz's rearrangement inequality, the Hardy-Littlewood-Sobolev inequality, the Fourier transform, distributions, Sobolev inequalities and the isoperimetric inequality.