Holomorphic Functions on Nuclear Spaces

DOI10.2307/1997385zbMath0317.46036OpenAlexW4236163470MaRDI QIDQ4078580

Philip J. Boland

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/1997385

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Other generalizations of function theory of one complex variable (32A30) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

Related Items (17)

Mathematical quantum Yang-Mills theory revisited ⋮ Convolution operators on spaces of entire functions ⋮ Analytische Struktur in Spektren - ein Zugang über die \(\infty\)- dimensionale Holomorphie ⋮ Analytische Struktur in Spektren - ein Zugang über die \(\infty\)- dimensionale Holomorphie ⋮ Le problème du $\overline\partial$ sur un espace de Hilbert ⋮ Approximationseigenschaft, Lifting und Kohomologie bei lokalkonvexen Produktgarben ⋮ An example of a nuclear space in infinite dimensional holomorphy ⋮ A Hahn-Banach extension theorem for analytic mappings ⋮ A Canonical Extension for Analytic Functions on Banach Spaces ⋮ Holomorphic functions on fully nuclear spaces ⋮ Counterexamples in holomorphic functions on nuclear Fréchet spaces ⋮ An infinite dimensional version of the Paley-Wiener-Schwartz isomorphism ⋮ Extension of Entire Functions on Nuclear Locally Convex Spaces ⋮ \(C^{\infty}\) functions in infinite dimension and linear partial differential difference equations with constant coefficients ⋮ A Hahn-Banach theorem for holomorphic mappings on localy convex spaces ⋮ On the holomorphic extension of vector valued functions ⋮ An extension and lifting theorem for bounded linear mappings in locally convex spaces and some applications

Cites Work

• Holomorphic functions on locally convex topological vector spaces. I: Locally convex topologies on \({\mathcal H}(U)\)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Holomorphic Functions on Nuclear Spaces