Continuous Linear Extension of Ultradifferentiable Functions of Beurling Type

DOI10.1002/mana.19931640110zbMath0806.46024OpenAlexW2054119646MaRDI QIDQ4303249

Uwe Franken

Publication date: 25 August 1994

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

Full work available at URL: https://doi.org/10.1002/mana.19931640110

zbMATH Keywords

ultradifferentiable functionsFréchet spaceextension operatorproperty (DN)Whitney jets of Beurling type

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (7)

Analytic extension of non quasi-analytic Whitney jets of Roumieu type ⋮ Ultradifferentiable extension theorems: a survey ⋮ On the extension of Whitney ultrajets of Beurling type ⋮ Analytic extension of smooth functions ⋮ On certain linear operators in spaces of ultradifferentiable functions ⋮ Analytic Extension of Non Quasi - Analytic Whitney Jets of Beurling Type ⋮ Examples of compact sets with non-empty interior which do not admit a continuous linear extension operator for ultradifferentiable functions of Beurling type

Cites Work

• Examples of compact sets with non-empty interior which do not admit a continuous linear extension operator for ultradifferentiable functions of Beurling type
• Ultradifferentiable functions and Fourier analysis
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