Prof. Dr. Robert Denk

  • Time and place: Thursday, 10.00-11.30 a.m., F 426
  • Exercise homepage (Tim Seger, Johannes Schnur)
  • 2+1 SWS, 5 Credits

Content
Literature
Lecture notes
Related modules
Exam

Content:

The aim of this lecture is to provide some addendum to the analysis-course by repeating and deepening the concept of the Fourier transform and of Sobolev spaces. As a basis, properties of locally convex topological spaces are briefly discussed. The Fourier transform will analysed on the space of tempered distributions, and important properties of Lp-Sobolev spaces will be discussed. In view of later applications in the theory of partial differential equations, we will study (at least partially) vector-valued function spaces.

Literature:

  • to be announced. 

 

Lecture notes:

  • Lecture notes (in German) are updated regularly and can be found here.

 

Related modules:

  • Bachelor Mathematik: Ergänzungsmodul 
  • Master Mathematik: Wahlmodul

 

Exam:

For a success in this module, the students have to participate successfully in the exercises and to pass the final oral exam. For the oral exam, individual appointments are possible.