The Baouendi-Treves approximation theorem for Gevrey classes and applications

DOI10.2422/2036-2145.201912_008zbMath1489.35030arXiv1910.14568OpenAlexW3128739631WikidataQ113704551 ScholiaQ113704551MaRDI QIDQ5075131

R. Medrado, Luis F. Ragognette, Gustavo Hoepfner

Publication date: 10 May 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.14568

zbMATH Keywords

ultradistributionslocal solvability of locally integrable structures

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Linear first-order PDEs (35F05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) CR structures, CR operators, and generalizations (32V05)

Cites Work

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• A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Resolution of singularities in Denjoy-Carleman classes
• On the convergence of the baouendi-treves approximation formula
• Edge of the Wedge Theory in Hypo-analytic Manifolds
• Ultradifferential operators in the study of Gevrey solvability and regularity

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