MAT6 -- Spring 2013

Integration and Fourier Theory

5. lecture

Monday, February 18,  08:15
Place: grupperum.

The program for today

Read the proof of Theorem 1.17 in Rudin. This is an important construction which shows that every real positive Borel function is the pointwise limit of simple functions. Read also Theorem 1.27 (a simple consequence of the monotone convergence theorem), and Fatou's Lemma (Theorem 1.28).

Written by Horia Cornean.