Prolongement analytique en dimension infinie. (Analytic extension in infinite dimension)

DOI10.5802/aif.419zbMath0224.32015OpenAlexW2333912099MaRDI QIDQ2548358

Andre Hirschowitz

Publication date: 1972

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1972__22_2_255_0

Mathematics Subject Classification ID

Domains of holomorphy (32D05)

Related Items (max. 100)

Envelopes of holomorphy and extension of functions of bounded type ⋮ Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy ⋮ \(F\)-quotients and envelope of \(F\)-holomorphy ⋮ The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition ⋮ The approximation property for spaces of holomorphic functions on infinite dimensional spaces. II. ⋮ Le problème du $\overline\partial$ sur un espace de Hilbert ⋮ Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces ⋮ On algebras of holomorphic functions of a given type ⋮ Pseudo-convex completion of locally convex topological vector spaces ⋮ Holomorphic functions on locally convex topological vector spaces. II: Pseudo convex domains ⋮ Sur la pseudo-convexité et la convexité polynomiale en dimension infinie ⋮ Spaces of holomorphic functions on non-balanced domains ⋮ Recent developments in infinite dimensional holomorphy ⋮ Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains

Cites Work

• Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Fonctions plurisousharmoniques et analytiques dans les espaces vectoriels topologiques complexes
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• Sur les suites de fonctions analytiques
• Holomorphy types on a Banach spaces
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