Math 7312, Spring 2002
## Math 7312, Spring 2002

Ambar Sengupta, Office: Lockett 324, Phone: 578-1607

e-mail: sengupta@math.lsu.edu

Home: http://www.math.lsu.edu/~sengupta

Class will meet __Lockett 111, MWF 2:40pm-3:30pm
__

Office hours: By appointment.

Schedule of Topics.

Sample Homework 1.

A brief bibliography.

Notes

The course will focus on measure theory and integration.
The goal is to learn some must-know machinery for
real analysis. Topics will include abstract measure and integration,
convergence theorems for integration, Fubini's theorem, the
Radon-Nikodym theorem, construction of Lebesgue measure, Riesz
representation
theorem, and duals of certain function spaces. Other topics may
include complex
measures, Hilbert and Banach spaces, and Fourier transforms.

Rudin's * Real and Complex Analysis* will be a useful reference.
Extensive notes will be posted.