401-2284-00L  Measure and Integration

SemesterSpring Semester 2020
LecturersF. Da Lio
Periodicityyearly recurring course
Language of instructionEnglish (lecture), German (exercise)


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 notesNew lecture notes in English will be made available during the course
Literature1. L. Evans and R.F. Gariepy " Measure theory and fine properties of functions"
2. Walter Rudin "Real and complex analysis"
3. R. Bartle The elements of Integration and Lebesgue Measure
4. The notes by Prof. Michael Struwe Springsemester 2013, Link.
5. The notes by Prof. UrsLang Springsemester 2019. Link
6. P. Cannarsa & T. D'Aprile: Lecture notes on Measure Theory and Functional Analysis: Link
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