Math 426: Topics in Real Analysis

Course Description:
This course is a continuation of Math 425. Material to be covered includes (more on) measure theory, linear operators in Hilbert spaces, the spectral theorem for self-adjoint operators, and direct and inverse spectral theory of Jacobi matrices.
Meeting Time: TR 1:00 PM -- 2:15 PM
Location: Herman Brown (Room 423)

David Damanik
Email: [my last name] at rice dot edu
Phone: x3273
Office: Herman Brown 434
Office Hours: T 2:15 PM -- 3:30 PM and by appointment

Recommended Texts:
H. Royden, Real Analysis, 3rd Edition, Macmillan Publishing Company, New York, 1988.
E. Stein and R. Shakarchi, Real analysis. Measure Theory, Integration, and Hilbert Spaces, Princeton University Press, Princeton, NJ, 2005.
G. Teschl, Mathematical Methods in Quantum Mechanics; With Applications to Schrödinger Operators, Graduate Studies in Mathematics 99, Amer. Math. Soc., Providence, RI, 2009.

The final grade for the course will be based on your homework scores.

There will be weekly homework assignments with due date indicated on each problem set. These assignments will be accessible through OWL-Space. The homework is not pledged. You are encouraged to discuss the homework, and to work together on the problems. However, each student is responsible for the final preparation of his or her own homework papers.

Disabilities Statement:
Any student with a documented disability needing academic adjustments or accommodations should speak to me as soon as possible, preferably during the first two weeks of class. I will be happy to help you, and all communications will remain confidential. As a reminder, you will also need to contact Disability Support Services in the Ley Student Center ( If you believe that you have an undocumented disability, you are encouraged to talk to me and Disability Support Services so that you can get help.