An approximation theorem related to good compact sets in the sense of Martineau
Annales de l'Institut Fourier, Tome 50 (2000) no. 2, pp. 677-687.
corrigé par Corrigendum - An approximation theorem related to good compact sets in the sense of Martineau
[Un théorème d'approximation lié à la notion de bon compact au sens de Martineau]

On établit un théorème d’approximation qui implique que tout sous-ensemble compact de ℂn est un bon compact au sens de Martineau. Il s’agit d’une propriété d’approximation cruciale pour l’extension des fonctionnelles analytiques. Le théorème d’approximation est fondé sur un résultat de finitude pour les enveloppes polynomiales.

This note contains an approximation theorem that implies that every compact subset of ℂn is a good compact set in the sense of Martineau. The property in question is fundamental for the extension of analytic functionals. The approximation theorem depends on a finiteness result about certain polynomially convex hulls.

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     title = {An approximation theorem related to good compact sets in the sense of {Martineau}},
     journal = {Annales de l'Institut Fourier},
     pages = {677--687},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Rosay, Jean-Pierre; Stout, Edgar Lee. An approximation theorem related to good compact sets in the sense of Martineau. Annales de l'Institut Fourier, Tome 50 (2000) no. 2, pp. 677-687. doi : 10.5802/aif.1768. https://www.numdam.org/articles/10.5802/aif.1768/

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[6] J.-P. Rosay and E.L. Stout, Strong boundary values, analytic functionals and nonlinear Paley-Wiener theory, to appear.

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