Extension of ultradifferentiable functions
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Publication:1330987
DOI10.1007/BF02567604zbMath0836.46027MaRDI QIDQ1330987
Publication date: 10 August 1994
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155951
extension problemBeurling type ultradifferential functionsCarleman-Komatsu type ultradifferentiable functionsPaley-Wiener theorem for ultradistributions defined on compact convex sets
Related Items (15)
On certain extension theorems in the mixed Borel setting ⋮ Solutions of quasianalytic equations ⋮ Ultradifferentiable extension theorems: a survey ⋮ On optimal solutions of the Borel problem in the Roumieu case ⋮ Sectorial extensions for ultraholomorphic classes defined by weight functions ⋮ The Borel map in the mixed Beurling setting ⋮ Ultraholomorphic extension theorems in the mixed setting ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ Failure of the Weierstrass preparation theorem in quasi-analytic Denjoy-Carleman rings ⋮ On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact ⋮ Ultraholomorphic sectorial extensions of Beurling type ⋮ On the extension of Whitney ultrajets of Beurling type ⋮ Extension and lacunas of solutions of linear partial differential equations ⋮ Quantifier elimination in quasianalytic structures via non-standard analysis ⋮ 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
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