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Abstract: 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.
Fuente: Monatshefte für Mathematik volume 191 (2020), pages 537-576
Publisher: Springer-Verlag
Year of publication: 2020
No. of pages: 40
Publication type: Article
DOI: 10.1007/s00605-019-01345-y
ISSN: 0026-9255,1436-5081
Spanish project: MTM2016-77642-C2-1-P
Publication Url: https://doi.org/10.1007/s00605-019-01345-y
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JESUS JAVIER JIMENEZ GARRIDO
SANZ, JAVIER
SCHINDL, GERHARD
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