\(C^{\infty}\) functions in infinite dimension and linear partial differential difference equations with constant coefficients

DOI10.1007/BF03323332zbMath0534.46016OpenAlexW2047487103MaRDI QIDQ790382

B. Perrot, José M. Ansemil

Publication date: 1983

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03323332

zbMATH Keywords

Hahn-Banach extension theoremDFN spaceexistence and approximation resultsSilva \(C^{\infty}\)-functions on a nuclear locally convex spacesolutions of linear partial differential-difference equations with constant coefficients

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Locally convex Fréchet spaces and (DF)-spaces (46A04) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (1)

An infinite dimensional version of the Paley-Wiener-Schwartz isomorphism

Cites Work

• An infinite dimensional version of the Paley-Wiener-Schwartz isomorphism
• Holomorphic Functions on Nuclear Spaces
• Solution of Some Problems of Division: Part II. Division by a Punctual Distribution

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