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

DOI10.1007/BF03323309zbMath0532.46010OpenAlexW1995871207MaRDI QIDQ788953

Socorro Ponte, J. François Colombeau

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf03323309

zbMATH Keywords

nuclear spacePaley-Wiener-theorem

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (1)

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

Cites Work

• \(C^{\infty}\) functions in infinite dimension and linear partial differential difference equations with constant coefficients
• Entire functions of exponential type bounded on the real axis and Fourier transforms of distributions with bounded supports
• Holomorphic Functions on Nuclear Spaces
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