# Summary

- Measure and integration theory with relevant examples from Lebesgue integration
- Hilbert spaces (only with regard to $L^2$), 
- $L^p$ spaces and the related Riesz representation theorem. 
- Hahn, Jordan and Lebesgue decomposition theorems, 
- Radon-Nikodym Theorem
- Fubini's Theorem.

*Texts*

- Real Analysis, by E. M. Stein and R. Shakarchi
- Real Analysis, by G. B. Folland
- An introduction to measure theory, by Terrence Tao
- Real and Complex Analysis, by W. Rudin

[An old course page](http://alpha.math.uga.edu/~lyall/8100Fall2014/index.html)