Sur la propagation des singularités dans les variétés CR
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Publication:3971804
DOI10.24033/bsmf.2154zbMath0742.58053OpenAlexW2584961455MaRDI QIDQ3971804
Publication date: 25 June 1992
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=BSMF_1990__118_4_403_0
Analyticity in context of PDEs (35A20) CR structures, CR operators, and generalizations (32V05) Propagation of singularities; initial value problems on manifolds (58J47) CR manifolds (32V99)
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Cites Work
- Propagation of analyticity for a class of non-micro-characteristic operators
- Cauchy-Riemann functions on manifolds of higher codimension in complex space
- Microlocal hypo-analyticity and extension of CR functions
- Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
- CR structures with group action and extendability of CR functions
- Normal forms for generic manifolds and holomorphic extension of CR functions
- A property of the functions and distributions annihilated by a locally integrable system of complex vector fields
- Propagation of holomorphic extendability of CR functions
- Holomorphic extension of CR functions
- Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
- EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
- Sur l'hypoellipticite analytique microlocale des operateurs de type principal
- EXTENSION OF CR-FUNCTIONS FROM PIECEWISE SMOOTH CR-MANIFOLDS
- Orbits of Families of Vector Fields and Integrability of Distributions
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