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

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

Authorship

SCHINDL, GERHARD