Students must demonstrate knowledge and understanding of the basic results of the theory of locally convex spaces and distributions.
In particular, students must
1. exhibit solid knowledge and thorough conceptual understanding of the subject;
2. be able to communicate in a clear and precise way the contents of the course;
3. be able to access autonomously the scientific literature on the subject.
Previous courses in algebra, topology and mathematical analysis.
Introduction to the theory of locally convex spaces and distributions.
1) Locally convex spaces and weak topologies. 2) Test function spaces and distributions. 3) Fourier transform. 4) Application to PDEs.
W. Rudin, "Functional Analysis", 2nd Edition, McGraw-Hill Inc., New York 1991.
Lectures (5 hours per week).
The final exam consists of an oral examination.
Università degli studi di Parma
via Università, 12 - I 43121 Parma
© 2014 Università di Parma - Tutti i diritti riservati