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New York University Tandon School of Engineering    
  Feb 24, 2018
2016-2018 Undergraduate and Graduate Bulletin (with addenda)
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MA-GY 7343 Measure Theory II

3 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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