An approximation theorem related to good compact sets in the sense of Martineau

DOI10.5802/aif.1768zbMath0964.32010OpenAlexW2320244487MaRDI QIDQ1977481

Edgar Lee Stout, Jean-Pierre Rosay

Publication date: 17 May 2000

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2000__50_2_677_0

zbMATH Keywords

polynomial approximationanalytic functionalspolynomial hullsgood compact sets

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Cites Work

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• Sur les fonctionnelles analytiques et la transformation de Fourier-Borel
• Holomorphic completions, analytic continuation, and the interpolation of semi-norms
• Every compact set in \(\mathbb{C}^ n\) is a good compact set
• Strong boundary values, analytic functionals, and nonlinear Paley-Wiener theory
• Algebras of Analytic Germs

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