INTEGRAL REPRESENTATIONS ON COMPACT CONVEX SETS (CHOQUET THEORY),
STATE UNIV OF NEW YORK STONY BROOK DEPT OF PHYSICS
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These notes attempt to give an introduction to the theory of integral representations on compact convex sets developed first by G. Choquet and later by numerous other authors. They do not aim at completeness, but only at the presentation of the central results. The notes do attempt to give the proofs in sufficient detail to make them accessible to the non-specialist. It is assumed the reader has an elementary knowledge of point set topology, integration theory on locally compact spaces, and the theory of locally convex topological vector spaces.
- Theoretical Mathematics