paper

The Baouendi-Treves approximation Theorem for Gevrey classes and applications

arXiv:1910.14568 · doi:10.2422/2036-2145.201912_008

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 Poincaré Lemma and study ultradistributions vanishing on maximally real submanifolds.