Whitney's extension theorem for nonquasianalytic classes of ultradifferentiable functions

DOI10.4064/sm-99-2-155-184zbMath0738.46009OpenAlexW209910734MaRDI QIDQ3979470

Reinhold Meise, José Bonet, Rüdiger W. Braun, B. Alan Taylor

Publication date: 26 June 1992

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219053

zbMATH Keywords

weight functionGevrey classescut-off functionsBorel's theoremWhitney's extension theorem\(\omega\)-ultradifferentiable functions of Beurling resp. Roumieu typeHörmander's solution of the \(\overline{\partial}\)-problemnonquasi-analytic classspace of Whitney jetsWhitney's property \((P)\)

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) (C^infty)-functions, quasi-analytic functions (26E10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Differentiable maps on manifolds (58C25) Rings and algebras of continuous, differentiable or analytic functions (46E25) Special classes of entire functions of one complex variable and growth estimates (30D15) Plurisubharmonic functions and generalizations (32U05)

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