Extension of Whitney jets of controlled growth

DOI10.1002/mana.201600321zbMath1375.26043arXiv1607.01206OpenAlexW3102157132MaRDI QIDQ4588971

Gerhard Schindl, Armin Rainer

Publication date: 6 November 2017

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

Full work available at URL: https://arxiv.org/abs/1607.01206

zbMATH Keywords

Whitney extension theorem in the ultradifferentiable settingRoumieu type classes

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) (C^infty)-functions, quasi-analytic functions (26E10) Quasi-analytic and other classes of functions of one complex variable (30D60)

Related Items (20)

On subadditivity-like conditions for associated weight functions ⋮ On the maximal extension in the mixed ultradifferentiable weight sequence setting ⋮ The theorem of iterates for elliptic and non-elliptic operators ⋮ 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 ⋮ Ultradifferentiable classes of entire functions ⋮ The Borel map in the mixed Beurling setting ⋮ Ultraholomorphic extension theorems in the mixed setting ⋮ On inclusion relations between weighted spaces of entire functions ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ Unnamed Item ⋮ Sectorial extensions, via Laplace transforms, in ultraholomorphic classes defined by weight functions ⋮ Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions ⋮ Ultraholomorphic sectorial extensions of Beurling type ⋮ On the extension of Whitney ultrajets of Beurling type ⋮ The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces ⋮ The Trouvé group for spaces of test functions ⋮ Almost analytic extensions of ultradifferentiable functions with applications to microlocal analysis ⋮ Indices of O-regular variation for weight functions and weight sequences

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