The spaces of analytic functions on open subsets of \(\mathbb R^{\mathbb N}\) and \(\mathbb C^{\mathbb N}\)

DOI10.4171/PRIMS/152zbMath1336.46039MaRDI QIDQ2344493

José M. Ansemil, Jerónimo López-Salazar, Socorro Ponte

Publication date: 15 May 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

analytic functioninductive limitlocally convex topology

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Cites Work

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• On real analytic functions of unbounded type
• Topological duality on the function space \(\mathcal H(\mathbb{C}^{\mathbb{N}})\)
• Representation of spaces of entire functions on Banach spaces
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• Remarques sur les ouverts d'holomorphie d'un produit dénombrable de droites
• Polynomials and multilinear mappings in topological vector-spaces
• Analytic functions in topological vector-spaces

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