MAT5213

From Department of Mathematics at UTSA

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Introduction to abstract measure theory and integration.

Topics List

Week	Topic	Sections from Rudin's Real and Complex Analysis	Prerequisites
1	Abstract integration	Chapter 1	Real Analysis I.
2-3	Positive Borel measures	Chapter 2
4-5	Lp spaces	Chapter 3
7-9	Hilbert spaces	Chapter 4
10-12	Complex measures	Chapter 5
13-14	The Radon-Nikodym theorem and its consequences	Chapter 5
15-16	Product spaces and Fubini's theorem	Chapter 6

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