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The Baouendi-Treves approximation theorem for Gevrey classes and applications

Full text
Author(s):
Hoepfner, Gustavo ; Medrado, Renan D. ; Ragognette, Luis F.
Total Authors: 3
Document type: Journal article
Source: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE; v. 23, n. 1, p. 24-pg., 2022-01-01.
Abstract

In this work we show how to extend the seminal Baouendi-Treves approximation theorem for Gevrey classes and ultradistributions. As applications we present a Gevrey version of the approximate Poincare ' lemma and study ultra distributions vanishing on maximally real submanifolds. (AU)

FAPESP's process: 17/13450-5 - On the reflection principle for hypo-analytic structures
Grantee:Luis Fernando Ragognette
Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
FAPESP's process: 17/03825-1 - Qualitative properties of PDE' and Several Complex Variables
Grantee:Gustavo Hoepfner
Support Opportunities: Regular Research Grants
FAPESP's process: 19/04995-3 - Qualitative properties of partial differential equations and several complex variables
Grantee:Gustavo Hoepfner
Support Opportunities: Regular Research Grants
FAPESP's process: 16/13620-5 - Differential operators of infinite order in the study of regularity and solvability of linear and nonlinear PDE's
Grantee:Luis Fernando Ragognette
Support Opportunities: Scholarships in Brazil - Post-Doctoral