Analytic extension of smooth functions

DOI10.1007/BF03322117zbMath0945.26029OpenAlexW2011776047MaRDI QIDQ1818228

Michael Langenbruch

Publication date: 26 September 2000

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

Full work available at URL: https://doi.org/10.1007/bf03322117

zbMATH Keywords

ultradifferentiable functionsWhitney extension theoremanalytic extension

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10)

Related Items (7)

Ultradifferentiable extension theorems: a survey ⋮ Power bounded composition operators on spaces of analytic functions ⋮ Holomorphic extensions of Whitney jets ⋮ Extension operators with analytic values ⋮ Analytic extension of differentiable functions defined in closed sets by means of continuous linear operators ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

Cites Work

• Extension of ultradifferentiable functions of Roumieu type
• On E. Borel's theorem
• Fortsetzungen von \(C^\infty\)-Funktionen, welche auf einer abgeschlossenen Menge in \(R^ n\) definiert sind
• Surjectivity of the restriction map to a compact in classes of ultradifferentiable functions
• Analytic extension of non quasi-analytic Whitney jets of Roumieu type
• Ultradifferentiable functions and Fourier analysis
• Analytic extension of ultradifferentiable Whitney jets
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Linear partial differential operators and generalized distributions
• On certain linear operators in spaces of ultradifferentiable functions
• Ultra-distributions definies sur \(R^ n\) et sur certaines classes de variétés différentiables
• Sur quelques extensions de la notion de distribution
• An Extension Theorem of Whitney Type for Non Quasi-Analytic Classes of Functions
• Analytic Extension of Non Quasi - Analytic Whitney Jets of Beurling Type
• Continuous Linear Extension of Ultradifferentiable Functions of Beurling Type
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Extension of C ∞ Functions Defined in a Half Space
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