fadm, ON THE DIRICHLET PROBLEM OF THE CHOQUET BOUNDARY

In this paper we have developed representer theorems for convex regularized inverse problems (1.1), based on fundamental properties of the geometry of convex sets: the solution set

unions of sequences (resp. increasing sequences) of elements of C. We denote C 1 ' the set of all measures which annihilate all elements ofC. Recall that K{E) is a metrizable

Key-words : Free group - Uniformly bounded representations... parametrized by spherical functions was given. There arises a prob- lem of finding the theorem for a free group related

Hommel [5] has investigated rather fully the possibility of extending Nachbin's theorem to locally compact ordered spaces (see Theorem 4.2.5 and Corollary 4.2.8 in [5]). we can drop

HERVE [6] has recently published a simple proof of Choquet's theorem on the representation of the points of a compact convex metrizable subset of a locally convex real

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Moreover, we have showed that the maximum number of extreme points is similar to the maximal number of extreme points of credal sets induced by possibility measures, and smaller

In this section we determine under some mild conditions the smallest field over which a member of the equivalence class of a (projective, symplectic) representation is defined..