Winter Term 2025/2026

lecture and exercise by Dr. Willem van Zuijlen

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Time and place

• Lecture: Tuesdays, 14:00-16:00h, SR 009, Arnimallee 6.
• Exercise: Tuesdays, 16:00--18:00h, SR 024, Arnimallee 3.

• Final Exam:  TBA

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Prerequisits: Analysis I — III, Linear Algebra I, II,
Recommended: Functional Analysis.

If you are an FU student you only need to register for the course via CM (Campus Management).
If you are not an FU student, you are required to register via MyCampus/Whiteboard.

Course Overview/ Content:

In this course we consider function spaces and spaces of distributions, also called generalised functions. Distributions play an important role in the theory of partial differential equations, as in contrast to functions, they are always differentiable. Hence, during the course we motivate the context via PDEs here and there. We will discuss: 

• Distribution spaces and their notion of convergence (on general domains)
• Sobolev spaces (on general domains)
• Tempered distributions and the Fourier transform (on R^d)
• Besov spaces (on R^d)
• Bony's para- and resonance products

References

There will be lecture notes.