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arXiv · 2006.04590

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

Nicholas Braun Rodrigues
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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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Nicholas Braun Rodrigues. 2020-06-08. An FBI characterization for Gevrey vectors on hypo-analytic structures and propagation of Gevrey singularities. https://arxiv.org/abs/2006.04590

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