A free convenient vector space for holomorphic spaces

DOI10.1007/BF01292771zbMath0866.46026MaRDI QIDQ1345719

E. Siegl

Publication date: 24 July 1997

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178676

zbMATH Keywords

uniform boundedness principleRiemann surfaceholomorphic embeddingprojective objectsfree convenient vector spaceholomorphic space

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Projective and injective objects in functional analysis (46M10) Holomorphic maps on manifolds (58C10) Questions of holomorphy and infinite-dimensional manifolds (58B12)

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The convenient setting for quasianalytic Denjoy-Carleman differentiable mappings ⋮ The convenient setting for non-quasianalytic Denjoy-Carleman differentiable mappings

Cites Work

• Die richtigen Räume für Analysis im Unendlich-Dimensionalen
• A cartesian closed category of smooth mappings
• Infinite dimensional holomorphy via categorical differential calculus
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