Difference between revisions of "MAT5213"
Jump to navigation
Jump to search
Jose.iovino (talk | contribs) |
Jose.iovino (talk | contribs) |
||
| Line 8: | Line 8: | ||
|| [[Abstract integration]] | || [[Abstract integration]] | ||
|| Chapter 1 | || Chapter 1 | ||
| − | || Real Analysis I | + | || Real Analysis I |
|- | |- | ||
| 2-3 | | 2-3 | ||
Latest revision as of 21:06, 18 March 2023
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 6 | |
| 15-16 | Product spaces and Fubini's theorem | Chapter 7 |
