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The surjectivity of the Borel mapping in the mixed setting for ultradifferentiable ramification spaces

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arxiv 1904.04947 v2 pith:V6UHUT62 submitted 2019-04-09 math.FA

Javier Jiménez-Garrido , Javier Sanz , Gerhard Schindl This is my paper · ORCID
classification math.FA
keywords borelultradifferentiableclassesmixedschmetssettingsurjectivityvaldivia
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We consider r-ramification ultradifferentiable classes, introduced by J. Schmets and M. Valdivia in order to study the surjectivity of the Borel map, and later on also exploited by the authors in the ultraholomorphic context. We characterize quasianalyticity in such classes, extend the results of Schmets and Valdivia about the image of the Borel map in a mixed ultradifferentiable setting, and obtain a version of the Whitney extension theorem in this framework.

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  1. Ultraholomorphic extension theorems in the mixed setting

    math.CV 2019-08 conditional novelty 6.0 of 10

    Mixed ultraholomorphic extension theorems hold for sector openings controlled by new mixed growth indices γ(M,N) and γ(σ,ω), even when all unmixed indices vanish.

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