Propagation of hypo-analyticity along bicharacteristics
Taking the concept of a hypo-analytic structure on a \(C^{\infty}\) manifold from \textit{M. S. Baouendi}, \textit{C. H. Chang} and \textit{F. Treves} [J. Differ. Geom. 18, 331-391 (1983; Zbl 0575.32019)] the author shows that the hypo-analytic singularities for solutions propagate along the bicharacteristics of hypo-analytic differential operators of principal type. The paper also contains a theorem on the connection between the concept of the Fourier-Bros-Iagolnitzer transform and the notion of hypo- analytic wave front set.
scientific article; zbMATH DE number 4120637
scientific article