401-2284-00L Measure and Integration
Semester | Spring Semester 2016 |
Lecturers | F. Da Lio |
Periodicity | yearly recurring course |
Language of instruction | English (lecture), German (exercise) |
Abstract | Introduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces |
Objective | Basic acquaintance with the abstract theory of measure and integration |
Content | Introduction to abstract measure and integration theory, including the following topics: Caratheodory extension theorem, Lebesgue measure, convergence theorems, L^p-spaces, Radon-Nikodym theorem, product measures and Fubini's theorem, measures on topological spaces |
Lecture notes | The Professor will put online her Lectures. She will essentially follow the Lecture Notes by Michael Struwe. |
Literature | 1. Lecture Notes by Michael Struwe: Link 2. Evans-Gariepy: Measure theory and fine properties of functions, CRC Press,Link 3. Extra material: P. Cannarsa & T. D'Aprile, "Lecture Notes on Measure Theory and Functional Analysis", Link |
Prerequisites / Notice | The precise content changes with the examiner. Candidates must therefore contact the examiner in person before studying the material. |