MAT6  Spring 2013
Integration and Fourier Theory
5. lecture
Monday, February 18, 08:15
Place: grupperum.
The program for today
 08:1512:00

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.