English

The Baouendi-Treves approximation Theorem for Gevrey classes and applications

Analysis of PDEs 2022-06-22 v1

Abstract

In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey functions and ultradistributions. As applications we present a Gevrey version of the approximate Poincar\'e Lemma and study ultradistributions vanishing on maximally real submanifolds.

Cite

@article{arxiv.1910.14568,
  title  = {The Baouendi-Treves approximation Theorem for Gevrey classes and applications},
  author = {Gustavo Hoepfner and Renan D. Medrado and Luis F. Ragognette},
  journal= {arXiv preprint arXiv:1910.14568},
  year   = {2022}
}
R2 v1 2026-06-23T12:01:04.519Z