MATH 5320 - Real Analysis

3 hours

General measure and integration, signed measures, Hahn decomposition, absolutely continuous measures, Radon-Nikodym theorem, product measures, Fubini’s theorem, Hausdorff measures, metric spaces, Baire Category Theorem, general Banach spaces, Hahn-Banach theorem.

Prerequisite(s): MATH 5310 or consent of department.