Pensum/l?ringskrav

Bartle, R.G.: The Elements of Integration and Lebesgue Measure, Wiley Classics Library.

PENSUM (forel?pig):

1. Introduction (bare side 5)

2. Measurable Functions

3. Measures

4. The Integral

5. Integrable Functions

6. The Lebesgue Spaces Lp (ikke beviset av kompletthet: Thm.6.14 og 6.16)

7. Modes of Convergence: 7.1-7.4

8. Decomposition of Measures (ikke bevisene av Thm. 8.9, 8.14, 8.15)

9. Generation of Measures

10. Product measures

For enkelte av bevisene i Kapittel 6-10, vil bare utdrag inng? i pensum.

Publisert 10. aug. 2005 19:14 - Sist endret 10. aug. 2005 19:25