Integration theory, part 2
Number of credits: 5 hp
Examiner: Tomas Sjödin
Course literature: Tomas Sjödin: Integration theory (lecture notes), R.F. Bass: Real analysis for graduate students.
Course contents: Stone’s theorem. Product measures and iterated integrals, Fubini’s theorem. Different convergence concepts: convergence in measure, almost uniform convergence and convergence in L^1 norm. Signed measures and differentiation, the Lebesgue decomposition and the Radon-Nikodym theorem. Introduction to L^p spaces.
Organisation: Lectures combined with a reading course.
Examination: Homework assignments.
Prerequisites: Calculus TATA41, TATA42, TATA43 or similar. Functional analysis TATA85 or similar. Integration theory, part 1.
Last updated: 2019-03-29