Bases in spaces of ultradifferentiable functions with compact support

DOI10.1007/BF01449214zbMath0627.46047MaRDI QIDQ1092377

Michael Langenbruch

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164399

zbMATH Keywords

complemented subspacesRoumieu typePelczynski's trickspaces of ultradifferentiable functions with compact supportultradifferentiable functions of Beurling type

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Summability and bases in topological vector spaces (46A35)

Related Items

Extension of ultradifferentiable functions ⋮ Extension of ultradifferentiable functions of Roumieu type ⋮ On E. Borel's theorem ⋮ Negative results on the Nash-Moser theorem for Köthe sequence spaces and for spaces of ultradifferentiable functions ⋮ The splitting condition for the weighted \(\overline \partial\)-complex ⋮ Sequence space representations for spaces of entire functions with rapid decay on strips

Cites Work

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• On E. Borel's theorem
• Ein Isomorphiesatz für Potenzreihenräume
• 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
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• Linear Extension Operators for Ultradifferentiable Functions of Beurling Type on Compact Sets
• A Decomposition Lemma for Entire Functions and its Applications to Spaces of Ultradifferentiable Functions
• Charakterisierung der Quotientenräume von s und eine Vermutung von Martineau

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