- Docente: Bruno Franchi
- Credits: 7
- SSD: MAT/05
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Course contents
Elements of measure theory. L^p spaces: completeness, density of some classes of functions, regularization. Banach and Hilbert spaces. Hahn-Banach, Banach-Steinhaus and closed graph Theorems. Fourier transform. Weak derivatives and Sobolev spaces. Lax-Milgram Theorem and Dirichlet problem for second order elliptic operators.
Readings/Bibliography
H. Brezis, Analisi Funzionale, Ed. Liguori, Napoli. W. Rudin, Analisi reale e complessa, Boringhieri, Torino.
Teaching methods
Lectures at the blackboard
Assessment methods
Both written and oral exam.
Office hours
See the website of Bruno Franchi