Extension of ultradifferentiable functions of Roumieu type

DOI10.1007/BF01194025zbMath0633.46026OpenAlexW2068960662MaRDI QIDQ1096133

Michael Langenbruch

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01194025

zbMATH Keywords

ultradifferentiable functions of Roumieu typeproperty (DN)continuous linear extension operatorGevrey sequencetame (F)-spaces

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (8)

Extension of ultradifferentiable functions ⋮ 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

• Bases in spaces of ultradifferentiable functions with compact support
• On E. Borel's theorem
• Whitney's extension theorem for ultradifferentiable functions of Beurling type
• Eine Charakterisierung der Potenzreihenraeume von endlichem Typ und ihre Folgerungen
• Ultradifferentiable Functions on Compact Intervals
• Linear Extension Operators for Ultradifferentiable Functions of Beurling Type on Compact Sets

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