Some examples of \(C^\infty\) extension by linear operators

DOI10.4171/RMI/678zbMath1242.47014OpenAlexW2055536059MaRDI QIDQ664908

Fulvio Ricci, Charles L. Fefferman

Publication date: 3 March 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/678

zbMATH Keywords

linear extension operatorC-infinity extensionfan-shaped sets

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Extension of maps (54C20) (C^infty)-functions, quasi-analytic functions (26E10) Differentiable maps on manifolds (58C25)

Related Items (3)

Polynomial inequalities, o-minimality and Denjoy-Carleman classes ⋮ Extension operators for smooth functions on compact subsets of the reals ⋮ Whitney extension operators without loss of derivatives

Cites Work

• Unnamed Item
• Gelfand pairs on the Heisenberg group and Schwartz functions
• Continuous linear division and extension of \(C^\infty\) functions
• Smooth functions invariant under the action of a compact Lie group
• Differentiable invariants
• Extension of Whitney fields from subanalytic sets
• Fortsetzungen von \(C^\infty\)-Funktionen, welche auf einer abgeschlossenen Menge in \(R^ n\) definiert sind
• \(C^m\) extension by linear operators
• Extension of C ∞ Functions Defined in a Half Space

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