# MAT 6 -- Spring 2013

## Integration and Fourier Theory

**21. lecture**
Friday, May 3, 08:15

Place: grupperum.

**The program for today**

- 08:15-12:00.
- Exercise session. Please start by reading Chapter 9 in Rudin, up to and including Theorem 9.6. Then solve exercises 1, 2 and 3 at page 193 in Rudin.

Hint to exercise 1: use the fact that $|f(x)e^{-ikx}|\leq f(x)$.

Hint to exercise 2: use Theorem 9.2 (c) and complex integration.

Hint to exercise 3: use complex integration.

Mvh. Horia Cornean.