Infinite dimensional \(C\infty\) mappings with a given sequence of derivatives at a given point

DOI10.1016/0022-247X(79)90218-XzbMath0433.46040MaRDI QIDQ1139258

J. François Colombeau

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

locally convex spaceBorel theoremmultilinear symmetric continuous map

Mathematics Subject Classification ID

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) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Holomorphic maps with a given asymptotic expansion at a boundary point, The Levi problem in nuclear Silva spaces, Unnamed Item, Existence of holomorphic mappings with prescribed asymptotic expansions at a given set of points in infinite dimensions, Holomorphic mappings with prescribed Taylor expansions, The countable neighbourhood property and tensor products

Cites Work

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• Théorie des bornologies et applications. (Theory of bornologies and applications)
• Topologies et bornologies nucléaires associées - applications
• Sur certains espaces vectoriels topologiques