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Apr 18, 2024
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2013-2014 Undergraduate and Graduate Bulletin (with addenda) [ARCHIVED CATALOG]
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MA-GY 7343 Measure Theory II3 Credits
This course continues MA-GY 7333 and presents a unified treatment of the part of measure theory that is most useful for applications in modern analysis. Topics covered: Fubini’s theorem along with 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-GY 7333 .
Weekly Lecture Hours: 3 | Weekly Lab Hours: 0 | Weekly Recitation Hours: 0
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