English

On the extension of Whitney ultrajets

Classical Analysis and ODEs 2018-10-26 v2 Functional Analysis

Abstract

We prove necessary and sufficient conditions for the validity of Whitney's extension theorem in the ultradifferentiable Roumieu setting with controlled loss of regularity.

Keywords

Cite

@article{arxiv.1709.00932,
  title  = {On the extension of Whitney ultrajets},
  author = {Armin Rainer and Gerhard Schindl},
  journal= {arXiv preprint arXiv:1709.00932},
  year   = {2018}
}

Comments

27 pages; some minor changes, accepted for publication in Studia Mathematica