Propagation of hypo-analyticity along bicharacteristics (Q1825364)

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scientific article; zbMATH DE number 4120637
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Propagation of hypo-analyticity along bicharacteristics
scientific article; zbMATH DE number 4120637

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    Propagation of hypo-analyticity along bicharacteristics (English)
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    1989
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    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.
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    hypo-analytic operators
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    hypo-analytic wave front set
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    propagation of singularities
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