English

On the extension of Whitney ultrajets, II

Classical Analysis and ODEs 2022-12-29 v2 Functional Analysis

Abstract

We characterize the validity of the Whitney extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity. Specifically, we show that in the main Theorem 1.3 of [15] condition (1.3) can be dropped. Moreover, we clarify some questions that remained open in [15].

Keywords

Cite

@article{arxiv.1808.10253,
  title  = {On the extension of Whitney ultrajets, II},
  author = {Armin Rainer and Gerhard Schindl},
  journal= {arXiv preprint arXiv:1808.10253},
  year   = {2022}
}

Comments

11 pages; minor corrections; accepted for publication in Studia Math