论文标题

Gevrey向量的FBI表征在分析结构和Gevrey奇点的传播方面

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

论文作者

Rodrigues, Nicholas Braun

论文摘要

在这项工作中,我们证明了Gevrey载体在缺点结构上的FBI表征,并且我们分析了有关FBI变换的Gevrey规律性和低分析性的主要差异。我们以这种特征在Gevrey奇点的传播中的应用,用于与失调结构相关的非同质系统的解决方案,用于管类型的分析结构。

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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