Conditions de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions

DOI10.24033/asens.1399zbMath0473.58022OpenAlexW4212955982MaRDI QIDQ3927935

Pierre Schapira

Publication date: 1981

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1981_4_14_1_121_0

zbMATH Keywords

sheaf of microfunctionsexterior conormal bundlehypoellipticity of microdifferential operatorspseudo-convex open set with real analytic boundary in a complex analytic manifold

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32) Relations of PDEs on manifolds with hyperfunctions (58J15)

Related Items (14)

CR-microfunctions and the Henkin-Ramirez reproducing kernel ⋮ Simple sheaves along dihedral Lagrangians ⋮ Microlocal direct images of simple sheaves with applications to systems with simple characteristics ⋮ On the \(C^ \infty\)-singularities of regular holonomic distributions ⋮ On the complex \({\mathcal C}_\Lambda\) attached to a certain class of Lagrangian set ⋮ On weighted estimates for some systems of partial differential operators ⋮ Analytic hypo-ellipticity and propagation of regularity for a system of microdifferential equations with non-involutory characteristics ⋮ Analytic hypo-ellipticity of a system of microdifferential equations with non-involutory characteristics ⋮ Deuxième microlocalisation sur les sous variétés isotropes ⋮ Microdistributions de Fourier classiques dans le cadre analytique réel ⋮ Analyse microlocale sur les variétés de Cauchy-Riemann et problème du prolongement des solutions holomorphes des équations aux dérivées partielles ⋮ Sur l'hypoellipticite analytique microlocale des operateurs de type principal ⋮ A vanishing theorem for holonomic modules with positive characteristic varieties ⋮ Analytic hypo-ellipticity and propagation of regularity for operators with non-involutory characteristics

Cites Work

• Flat solutions and singular solutions of homogeneous linear partial differential equations with analytic coefficients
• Existence et prolongement des solutions holomorphes des équations aux dérivées partielles
• Local analytic continuation of holomorphic solutions of partial differential equations
• Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe
• Micro-hyperbolic systems
• On the prolongation of local holomorphic solutions of partial differential equations
• Fourier integral operators with complex phase functions and parametrix for an interior boundary value problem
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