Spectrum and envelope of holomorphy for infinite dimensional Riemann domains

DOI10.1007/BF01456881zbMath0515.32005MaRDI QIDQ1051765

Martin Schottenloher

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163739

zbMATH Keywords

spectrumenvelope of holomorphydomains over complex Frechet spaceinfinite dimensional Riemann domains

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach analytic manifolds and spaces (32K05) Locally convex Fréchet spaces and (DF)-spaces (46A04) Envelopes of holomorphy (32D10)

Related Items

Invertibility in Fréchet algebras ⋮ The approximation property for spaces of holomorphic functions on infinite-dimensional spaces. I ⋮ Weakly continuous holomorphic functions on pseudoconvex domains in Banach spaces ⋮ Envelopes of holomorphy and extension of functions of bounded type ⋮ ON THE ANNIHILATOR OF A DOLBEAULT GROUP ⋮ Spectra of algebras of holomorphic functions on infinite dimensional Riemann domains

Cites Work

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• Dense inverse limit rings
• Michael problem and algebras of holomorphic functions
• The Levi problem for domains spread over locally convex spaces with a finite dimensional Schauder decomposition
• Fonctions plurisousharmoniques sur les espaces vectoriels topologiques et applications à l'étude des fonctions analytiques
• Über analytische Fortsetzung in Banachräumen
• Cartan-Thullen theorem for domains spread over -spaces.
• On envelops of holomorphy
• Approximation of analytic and continuous mappings by polynomials in Fréchet spaces