19235101
Lecture
Function and distribution spaces
Willem Van Zuijlen
Additional information / Pre-requisites
Prerequisits: Analysis I — III, Linear Algebra I, II.
Recommended: Functional Analysis.
Comments
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
Suggested reading
There will be lecture notes.
16 Class schedule
Regular appointments
Tue, 2025-10-14 14:00 - 16:00
Tue, 2025-10-21 14:00 - 16:00
Tue, 2025-10-28 14:00 - 16:00
Tue, 2025-11-04 14:00 - 16:00
Tue, 2025-11-11 14:00 - 16:00
Tue, 2025-11-18 14:00 - 16:00
Tue, 2025-11-25 14:00 - 16:00
Tue, 2025-12-02 14:00 - 16:00
Tue, 2025-12-09 14:00 - 16:00
Tue, 2025-12-16 14:00 - 16:00
Tue, 2026-01-06 14:00 - 16:00
Tue, 2026-01-13 14:00 - 16:00
Tue, 2026-01-20 14:00 - 16:00
Tue, 2026-01-27 14:00 - 16:00
Tue, 2026-02-03 14:00 - 16:00
Tue, 2026-02-10 14:00 - 16:00