An FBI characterization for Gevrey vectors on hypo-analytic structures and propagation of Gevrey singularities

2020/06/08 by Nicholas Braun Rodrigues, Rodrigues, Nicholas Braun
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2006.04590

openalex publication_date 2020/06/08 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this work we prove an FBI characterization for Gevrey vectors on hypo-analytic structures, and we analyze the main differences of Gevrey regularity and hypo-analyticity concerning the FBI transform. We end with an application of this characterization on a propagation of Gevrey singularities result, for solutions of the non-homogeneous system associated with the hypo-analytic structure, for analytic structures of tube type.

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