(Hermann, Paris, 250 pages, 180 Francs, about 25 U.S Dollars)
This monograph by Richard Becker, concluded by a Postface of G. Choquet, is devoted to the theory of Integral Representation in convex cones, due to G. Choquet, and to several of its applications to Analysis: classical theorems of Bochner-Weil and of Bernstein, theorem of Choquet-Deny, axiomatics of Brelot and of Bauer in potential theory, results of Talagrand concerning invariant measures and capacities and those of Royer and Yor concerning quasi-invariant measures in field theory.
The tools created by G. Choquet are also studied for themselves and also for their relations with others fields close to Analysis: zonoforms and vector measures, statistical decision theory, bireticulated cones and normal cones contained in Banach spaces.
A University Master degree in functional analysis is sufficient to study this monograph.