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Viser: Analysis on Polish Spaces and an Introduction to Optimal Transportation
Analysis on Polish Spaces and an Introduction to Optimal Transportation
D. J. H. Garling
(2017)
Sprog: Engelsk
om ca. 10 hverdage
Detaljer om varen
- Paperback: 356 sider
- Udgiver: Cambridge University Press (December 2017)
- ISBN: 9781108431767
Part I. Topological Properties:
1. General topology;
2. Metric spaces;
3. Polish spaces and compactness;
4. Semi-continuous functions;
5. Uniform spaces and topological groups;
6. Càdlàg functions;
7. Banach spaces;
8. Hilbert space;
9. The Hahn-Banach theorem;
10. Convex functions;
11. Subdifferentials and the legendre transform;
12. Compact convex Polish spaces;
13. Some fixed point theorems;
Part II. Measures on Polish Spaces:
14. Abstract measure theory;
15. Further measure theory;
16. Borel measures;
17. Measures on Euclidean space;
18. Convergence of measures;
19. Introduction to Choquet theory;
Part III. Introduction to Optimal Transportation:
20. Optimal transportation;
21. Wasserstein metrics;
22. Some examples; Further reading; Index.