Structure of spaces of \(C^{\infty}-functions\) on nuclear spaces

DOI10.1007/BF02760667zbMath0543.46027OpenAlexW2317772661MaRDI QIDQ796050

Otilia W. Paques, J. François Colombeau

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760667

zbMATH Keywords

inductive limitprojective limitPaley-Wiener-Schwartz theoremspaces of \(C^{\infty}\)-functions on nuclear spaces

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Barrelled spaces, bornological spaces (46A08) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Inductive and projective limits in functional analysis (46M40)

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Cites Work

• A multiplication of distributions
• On some spaces of entire functions defined on infinite dimensional spaces
• Théorie des bornologies et applications. (Theory of bornologies and applications)
• Entire functions of exponential type bounded on the real axis and Fourier transforms of distributions with bounded supports
• Polynomial approximation of differentiable functions on Banach spaces.
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