Dévelopment asymptotique des fonctions obtenues par intégration sur les fibres.
Die Fortsetzbarkeit von Differentialformen auf arithmetischen Quotienten von hermiteschen symmetrischen Räumen.
Distribution des valeurs des fonctions analytiques multiformes
Division et extension dans des classes de Carleman de fonctions holomorphes
Let Ω be a bounded pseudoconvex domain in with boundary and let X be a complete intersection submanifold of Ω, defined by holomorphic functions (1 ≤ p ≤ n-1) smooth up to ∂Ω. We give sufficient conditions ensuring that a function f holomorphic in X (resp. in Ω, vanishing on X), and smooth up to the boundary, extends to a function g holomorphic in Ω and belonging to a given strongly non-quasianalytic Carleman class in (resp. satisfies with holomorphic in Ω and -regular in ). The essential...
Division et extension dans l'algèbre A...(...) d'un ouvert pseudo-convexe à bord lisse de ...n.
Domaines complets d'existence des fonctions analytiques uniformes dans les corps valués complets
Domains of biregularity in Clifford analysis
E. E. Levi convexity and the Hans Lewy problem. Part I : reduction to vanishing theorems
E. E. Levi convexity and the Hans Lewy problem. Part II : vanishing theorems
Ein Kontinuitätssatz für k-holomorphe Mengen.
Elimination of singularities on Hölder peak sets for functions
Envelopes of Holomorphy and Polynomial Hulls.
Envelopes of holomorphy for solutions of the Laplace and Dirac equations
Analytic continuation and domains of holomorphy for solution to the complex Laplace and Dirac equations in are studied. First, geometric description of envelopes of holomorphy over domains in is given. In more general case, solutions can be continued by integral formulas using values on a real dimensional cycle in . Sufficient conditions for this being possible are formulated.
Envelopes of holomorphy in
Espaces de Stein et faisceaux localement libres.
Estimates for Derivates of Holomorphic Functions in Pseudoconvex Domains.
Existence domains for holomorphic Lp functions.
If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).
Existence of open quasiconvex subsets dense in a given space
Exponential-type Nagumo norms and summability of formal solutions of singular partial differential equations
In this paper, we study a class of first order nonlinear degenerate partial differential equations with singularity at . Using exponential-type Nagumo norm approach, the Gevrey asymptotic analysis is extended to case of holomorphic parameters in a natural way. A sharp condition is then established to deduce the -summability of the formal solutions. Furthermore, analytical solutions in conical domains are found for each type of these nonlinear singular PDEs.
Extendability of C. R. functions : a microlocal version of Bochner's tube theorem