Course Information

MA7343 Measure Theory II

Credits: 3.00

This course continues MA 7333 and presents a unified treatment of that part of measure theory that is most useful for applications in modern analysis. Topics covered: Fubini’s theorem, convolutions and distributions are applied to explicit examples. In this part, Baire’s theorem,the Banach-Steinhaus theorem, the Open Mapping theorem, the Hahn-Banach Theorem are derived with the properties of the Radon-Nikodym derivatives to naturally generalize calculus both differential and integral.

Prerequisite: MA 7333.