Theory of integration
Number of credits: 7.5 hp
Examiner: Jana Björn
Course contents: Measure and integration: measurable sets, measures, simple functions, Lebesgue measure. Product measures and the Fubini theorem. Differentiation of measures, absolute continuity and the Randon-Nikodym theorem. Radon measures and the Riesz representation theorem. L^p-spaces and their properties.
Organisation: Lectures combined with reading course and problem solving.
Examination: Solving assigned problems.
Prerequisites: Calculus TATA41, TATA42, TATA43 or similar. TATA01 Real Analysis, Honours Course, and Functional Analysis TATA85 or similar are recommended.
Last updated: 2014-08-25