Analytic isomorphisms of infinite dimensional polydiscs and an application

DOI10.24033/bsmf.1974zbMath0537.46044OpenAlexW2296885506MaRDI QIDQ3322664

Dietmar Vogt, Reinhold Meise

Publication date: 1983

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1983__111__3_0

zbMATH Keywords

Köthe sequence space\textit{H. Cartan}'s characterization of biholomorphic mapsholomorphic automorphisms of polydiscshypoanalytic isomorphismopen polydiscreflexive Schwartz space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Infinite-dimensional holomorphy (46G20) Complex Lie groups, group actions on complex spaces (32M05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items

Holomorphic mappings with prescribed Taylor expansions

Cites Work

• Les fonctions de deux variables complexes et le problème de la représentation analytique
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Structure of spaces of holomorphic functions on infinite dimensional polydiscs
• Sur les fonctions de $n$ variables complexes : les transformations du produit topologique de deux domaines bornés
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