Interpolation of Vector-Valued Real Analytic Functions

DOI10.1112/S0024610702003551zbMath1027.46048OpenAlexW2159326345MaRDI QIDQ3151160

Dietmar Vogt, José Bonet, Paweł Domański

Publication date: 22 October 2002

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024610702003551

zbMATH Keywords

interpolationshort exact sequencesreal analytic functionsDF-spacescondition \((\underline{\text{A}})\)

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Infinite-dimensional holomorphy (46G20) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63) Real-analytic functions (26E05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (5)

Solution to the first Cousin problem for vector-valued quasianalytic functions ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ⋮ Extension operators for real analytic functions on compact subvarieties of ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

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