An FBI characterization for Gevrey vectors on hypo-analytic structures and propagation of Gevrey singularities
Nicholas Braun Rodrigues
TL;DR
This paper establishes an FBI transform characterization for Gevrey vectors on hypo-analytic structures and applies it to analyze the propagation of Gevrey singularities in solutions of related systems.
Contribution
It introduces a novel FBI characterization for Gevrey vectors on hypo-analytic structures and explores its implications for singularity propagation.
Findings
FBI characterization for Gevrey vectors established
Differences between Gevrey regularity and hypo-analyticity analyzed
Propagation of Gevrey singularities demonstrated in specific systems
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMathematical Analysis and Transform Methods · Nonlinear Waves and Solitons · Advanced Mathematical Physics Problems