Ind-Sheaves, distributions, and microlocalization
Intégrales de Nilsson et faisceaux constructibles
Involutivity of truncated microsupports
Using a result of J.-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf on a real manifold and , if two functions vanish on , then so does their Poisson bracket.
Les équations de Hua d'un domaine borné symétrique du type tube.
Levi's forms of higher codimensional submanifolds
Let , let be a hypersurface of , be a submanifold of . Denote by the Levi form of at . In a previous paper [3] two numbers , are defined; for they are the numbers of positive and negative eigenvalues for . For , , we show here that are still the numbers of positive and negative eigenvalues for when restricted to . Applications to the concentration in degree for microfunctions at the boundary are given.
Matrices carrées sur l'algèbre de Weyl
Mesures de défaut de compacité, application au système de Lamé
Microlocal analysis of diffraction by a corner
Micro-Local Analysis of Prehomogeneous Vector Spaces.
Microlocal analyticity for ...b in block-decoupled pseudoconvex domains.
Microlocal boundary value problem in higher codimensions
Microlocal direct images of simple sheaves with applications to systems with simple characteristics
Microlocalisation of -modules along a submanifold
Microlocalisation simultanée et problème de Cauchy ramifié
Microlocalisation tempérée
Moderate and formal cohomology associated with constructible sheaves
Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields.
On contact equivalence of holomorphic Monge-Ampére equations.
On the -singularities of regular holonomic distributions
The analytic and wave-front sets of a distribution which is a solution of a regular holonomic differential system are shown to coincide. More generally, we give comparison theorems for solutions of a regular holonomic system of microdifferential equations in various spaces of microfunctions, as a simple extension of a result of Kashiwara.
Operatori differenziali a coefficienti costanti di tipo iperbolico-(ipo)ellittico