Holomorphic functions on locally convex topological vector spaces. II: Pseudo convex domains

DOI10.5802/aif.475zbMath0266.46019OpenAlexW2313619198MaRDI QIDQ2562482

Seán Dineen

Publication date: 1973

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1973__23_3_155_0

Mathematics Subject Classification ID

Banach analytic manifolds and spaces (32K05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Pseudoconvex domains (32T99)

Related Items (13)

Unnamed Item ⋮ A projective limit representation of (DFC)-spaces with the approximation property ⋮ Pseudoconvexity in the theory of complex spaces ⋮ Surjective limits of locally convex spaces and their application to infinite dimensional holomorphy ⋮ Le problème de Lévi dans certains espaces vectoriels topologiques localement convexes ⋮ The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition ⋮ Holomorphically ultrabornological spaces and holomorphic inductive limits ⋮ Growth properties of pseudo-convex domains and domains of holomorphy in locally convex topological vector spaces ⋮ Locally Bounded Sets of Holomorphic Mappings ⋮ Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces ⋮ The bornological topology on the space of holomorphic mappings on a Banach space ⋮ Sur la pseudo-convexité et la convexité polynomiale en dimension infinie ⋮ Recent developments in infinite dimensional holomorphy

Cites Work

• Holomorphic functionals and complex convexity in Banach spaces
• 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
• Remarques sur les ouverts d'holomorphie d'un produit dénombrable de droites
• Holomorphic functions on \((C_ 0,X_ b)\)-modules
• Prolongement analytique en dimension infinie. (Analytic extension in infinite dimension)
• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
• The envelopes of holomorphy of tube domains in infinite dimensional Banach spaces
• Complex Convexity
• Analytic functions in topological vector-spaces
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