401-2284-00L  Measure and Integration

SemesterSpring Semester 2018
LecturersU. Lang
Periodicityyearly recurring course
Language of instructionGerman


AbstractIntroduction 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
ObjectiveBasic acquaintance with the abstract theory of measure and integration
ContentIntroduction 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 notesLink
Literature- D. A. Salamon, Measure and Integration, EMS 2016
- W. Rudin, Real and Complex Analysis, McGraw-Hill 1987
- P. R. Halmos, Measure Theory, Springer 1950