Representation of spaces of entire functions on Banach spaces

DOI10.2977/prims/1241553124zbMath1177.46025OpenAlexW2129909850MaRDI QIDQ2271468

Socorro Ponte, José M. Ansemil, Richard Martin Aron

Publication date: 7 August 2009

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

Full work available at URL: https://doi.org/10.2977/prims/1241553124

zbMATH Keywords

Schauder basisinductive limitholomorphic function on Banach spaceentire function on a Banach space

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)

Related Items (4)

On real analytic functions of unbounded type ⋮ Behavior of entire functions on balls in a Banach space ⋮ Vector spaces of entire functions of unbounded type ⋮ The spaces of analytic functions on open subsets of \(\mathbb R^{\mathbb N}\) and \(\mathbb C^{\mathbb N}\)

Cites Work

• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
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