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Envelopes of continuous, plurisubharmonic functions. (English) Zbl 0421.31008


MSC:

31D05 Axiomatic potential theory
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References:

[1] Bedford, E.: Extremal plurisubharmonic functions and pluripolar sets in ?2. Math. Ann.249, 205-223 (1980) · Zbl 0429.31001 · doi:10.1007/BF01363896
[2] Bedford, E., Taylor, B.A.: The Dirichlet problem for a complex Monge Ampère equation. Invent. Math.37, 1-44 (1976) · Zbl 0325.31013 · doi:10.1007/BF01418826
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[4] Cegrell, U.: Capacities and extremal plurisubharmonic functions on subsets of ? n (preprint) · Zbl 0451.32011
[5] Debiard, A., Gaveau, B.: Méthodes de contrôle optimal en analyse complexe. IV. Applications aux algèbres de fonctions analytiques · Zbl 0401.49006
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[7] Grauert, H., Remmert, R.: Theory of Stein spaces. Berlin, Heidelberg, New York: Springer 1979 · Zbl 0433.32007
[8] Josefson, B.: On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on ? n . Ark. Math.16, 109-115 (1978) · Zbl 0383.31003 · doi:10.1007/BF02385986
[9] Lelong, P.: Fonctions plurisousharmoniques et fonctions analytiques de variables réeles. Ann. Inst. Fourier (Grenoble)11, 515-562 (1961) · Zbl 0100.07902
[10] Lelong, P.: Fonctions entières de type exponentiel dans ? n . Ann. Inst. Fourier (Grenoble)16, 269-318 (1966) · Zbl 0166.33602
[11] Ronkin, L.: Regularization of the supremum of a family of plurisubharmonic functions and its application to analytic functions of several variables. Mat. Sbornik71, 132-142 (1966) · Zbl 0182.10902
[12] Siciak, J.: Extremal plurisubharmonic functions in ? n . Proceedings of the first Finnish-Polish Summer School in Complex Analysis, 115-152 (1977)
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