Linear Extension Operators for Ultradifferentiable Functions of Beurling Type on Compact Sets

DOI10.2307/2374512zbMath0696.46001OpenAlexW2324055494MaRDI QIDQ3472650

Reinhold Meise, B. Alan Taylor

Publication date: 1989

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374512

zbMATH Keywords

splitting theoremrestriction mapcontinuous linear right inverse\(\omega\)-ultradifferentiable functions of Roumieŭ typeBeurling caseBorel restrictioncondition of strong non-quasi-analyticityspace of \(\omega\)-ultradifferentiable functionsspace of Whitney fields on a compact set

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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