MA 7343 Measure Theory II

3 Credits

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(s): MA 7333 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0