Riemann-Type Integral That Includes Lebesgue-Stieltjes, Bochner and Stochastic Integrals.
- 1st ed.
- 1 online resource (57 pages)
- Memoirs of the American Mathematical Society ; v.1 .
- Memoirs of the American Mathematical Society .
Intro -- 1. Introduction -- 2. Preliminaries Concerning Semi-Groups and Limits -- 3. Notation and Definitions -- 4. Elementary Properties -- 5. Henstock's Lemma -- 6. Absolute Integrability -- 7. The Monotone Convergence Theorem -- 8. The Dominated Convergence Theorem -- 9. A More Traditional Type of Integral -- 10. Convergence Theorems -- 11. Measure -- 12. Examples: Integrals of Stieltjes Type -- 13. Examples -- 14. The Bochner, Pettis and Bogdanowicz Integrals -- 15. Stochastic Integrals -- References.