Measure theory
J. L. Doob.
New York : Springer-Verlag, ©1994.
xii, 210 págs. ; 24 cm.
Serie: Graduate texts in mathematics ; 143
ISBN: 0387940553 (New York), 3540940553 (Berlin)
"Probability concepts are introduced in their appropriate place, not consigned to a ghetto"—Introduction.
Reseña:
MathSciNet, 95c:28001
Bull. A.M.S., v. 31 no. 2, Oct. 1994.
Contenido
- 1. Operations on sets
- 2. Classes of subsets of a space
- 3. Set functions
- 4. Measure spaces
- 5. Measurable functions
- 6. Integration
- 7. Hilbert space
- 8. Convergence of measure sequences
- 9. Signed measures
- 10. Measures and functions of bounded variation on R
- 11. Conditional expectations; martingale theory.
