Complex Kergin interpolation and the Fantappiè transform

DOI10.1007/BF02571524zbMath0725.32011OpenAlexW2084934989MaRDI QIDQ2277615

Mats Andersson, Mikael Passare

Publication date: 1991

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174315

zbMATH Keywords

Kergin interpolationanalytic functionalsFantappiè transformcomplex convexity

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) (q)-convexity, (q)-concavity (32F10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (10)

Interpolation in Fréchet spaces with an application to complex function theory ⋮ Estimations du nombre d'applications rationnelles d'une variété fixe aux variétés de type général. (Estimates of the number of rational mappings from a fixed variety to varieties of general type.) ⋮ A convergence problem for Kergin interpolation ⋮ Mikael Passare, a Jaunt in Approximation Theory ⋮ Complex mean-value interpolation and approximation of holomorphic functions ⋮ Interpolation spaces for PDE-preserving projectors on Hilbert-Schmidt entire functions ⋮ The distribution of extremal points for Kergin interpolations: real case ⋮ The Newton product of polynomial projectors Part 1: Construction and algebraic properties ⋮ Kergin interpolation in Banach spaces ⋮ The Closure and the Interior of C-convex Sets

Cites Work

• Unnamed Item
• A shortcut to weighted representation formulas for holomorphic functions
• Henkin-Ramirez kernels with weight factors
• Kergin interpolation of entire functions on \(C^ n\).
• A natural interpolation of \(C^ k \)functions
• Complex Kergin interpolation

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