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Uniform approximation of harmonic functions. (English) Zbl 0176.09904


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[1] [1] , Frontière de Šilov et problème de Dirichlet, Sem. Brelot Choquet Deny, 3e année, (1958-1959).
[2] [2] , Minimalstellen von Functionen und Extremalpunkt II, Archiv der Math. 11, (1960), 200-203. · Zbl 0098.08003
[3] [3] , Axiomatische Behandlung des Dirichletschen Problem fur elliptische und parabolische Differentialgleichungen, Math. Ann., 146 (1962) 1-59. · Zbl 0107.08003
[4] [4] , and , Axiomatic theory of harmonic functions. Non negative superharmonic functions, Ann. Inst. Fourier, Grenoble, 15 (1965) 283-312. · Zbl 0139.06604
[5] [5] , and , Convex cones of lower semicontinuous functions, Rev. Roum. Math. Pures et Appl. 13 (1967) 471-525. · Zbl 0155.17301
[6] [6] , Sur l’approximation et la convergence dans la théorie des fonctions harmoniques ou holomorphes, Bull. Soc. Math. France, 73 (1945) 55-70. · Zbl 0061.22804
[7] Greenberg, R., On p
[8] [8] , Axiomatique des fonctions harmoniques, Séminaire de mathématiques supérieures, Montréal (1965). · Zbl 0148.10401
[9] [9] , Sur l’approximation des fonctions harmoniques, Bull. Soc. Math. France, 73 (1945) 71-73. · Zbl 0063.01088
[10] [10] , Systèmes totaux de fonctions harmoniques, Ann. Inst. Fourier, Grenoble, 1 (1949) 103-113.
[11] [11] , Minimum-stable wedges of semicontinuous functions, Math. Scand. 19 (1966) 15-26. · Zbl 0146.37002
[12] [12] , On uniform approximation of affine functions on a compact convex set, Quart J. Math. Oxford (2), 20 (1969), 139-42. · Zbl 0177.16303
[13] [13] and , A Weierstrass-Stone theorem for Choquet simplexes, Ann. Inst. Fourier, Grenoble, 18 (1968) 261-282. · Zbl 0172.15604
[14] [14] , Développements sur une théorie axiomatique des fonctions surharmoniques, C.R. Acad. Sci. Paris, 248 (1959) 179-181. · Zbl 0096.30401
[15] [15] , Lectures on Choquet’s theorem, van Nostrand, Princeton N. J. (1966). · Zbl 0135.36203
[16] [16] , Approximation et caractère de quasi-analyticité dans la théorie axiomatique des fonctions harmoniques, Ann. Inst. Fourier, Grenoble, 17 (1967) 383-399. · Zbl 0153.15501
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