References
Alfsen, E. M., On the geometry of Choquet simplexes.Math. Scand., 15 (1964), 97–110.
—, Boundary values for homomorphisms of compact convex sets.Math. Scand., 19 (1966), 113–121.
Bauer, H., Shilowscher Rand und Dirichletsches Problem.Ann. Inst. Fourier (Grenoble), 11 (1961), 89–136.
Bishop, E. &de Leeuw, K., The representations of linear functionals by measures on sets of extreme pointsAnn. Inst. Fourier (Grenoble), 9 (1959), 305–331.
Choquet, G. &Meyer, P. A., Existence et unicité des représentations integrals dans les convexes compacts quelconques.Ann. Inst. Fourier (Grenoble), 13 (1963), 139–154.
Dunford, N. & Schwartz, J.,Linear operators. New York 1958.
Effros, E., Structure in simplexes II.J. Funct. Anal., 1 (1967), 379–391.
Lazar, A., To appear inMath. Scand.
Phelps, R.,Lectures on Choquet's Theorem. Toronto, New York, London 1966.
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Alfsen, E.M. On the Dirichlet problem of the Choquet boundary. Acta Math. 120, 149–159 (1968). https://doi.org/10.1007/BF02394608
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DOI: https://doi.org/10.1007/BF02394608