Propagation of hypo-analyticity along bicharacteristics
type: Item
instance of: scholarly article
title: Propagation of hypo-analyticity along bicharacteristics
zbMATH Open document ID: 0684.35026
published in: Pacific Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pjm/1102650147
review text: 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.
Mathematics Subject Classification ID: 35B99
Mathematics Subject Classification ID: 58J47
zbMATH DE Number: 4120637
zbMATH Keywords: hypo-analytic operators
zbMATH Keywords: hypo-analytic wave front set
zbMATH Keywords: propagation of singularities
author: S. Berhanu
reviewed by: Wolfgang Watzlawek
MaRDI profile type: Publication
OpenAlex ID: W1970211282
DOI: 10.2140/PJM.1989.138.221
Recommended article: On Characterizations of Analyticity
Recommended article: Analytic hypoellipticity in the presence of nonsymplectic characteristic points
Recommended article: Q1107892
Recommended article: Analyticity and propagation of plurisubharmonic singularities
Recommended article: Propagation of analyticity for a class of non-micro-characteristic operators
Recommended article: Analytic equivalence relations and bi-embeddability
Recommended article: Q3679621
Recommended article: Q4448986
Recommended article: Q4869189
Recommended article: On bianalytic capacities
description: scientific article; zbMATH DE number 4120637