Carleman's formulas and conditions of analytic extendability
Complete Characterization of Holomorphic Chains of Codimension One.
Complete Hartogs Domains in C2 have Regular Bergman and Szegö Projections.
Complex Plateau problem in non-Kähler manifolds
We consider the complex Plateau problem for strongly pseudoconvex contours in non-Kähler manifolds. We give a necessary and sufficient condition for the existence of solution in the class of manifolds carrying pluriclosed metric forms and propose a conjecture for the general case.
Conjecture de Globevnik-Stout et théorème de Morera pour une chaîne holomorphe
Constructions de fonctions holomorphes bornées
Continuation of holomorphic functions with growth conditions and some of its applications
We prove a generalization of the well-known Hörmander theorem on continuation of holomorphic functions with growth conditions from complex planes in into the whole . We apply this result to construct special families of entire functions playing an important role in convolution equations, interpolation and extension of infinitely differentiable functions from closed sets. These families, in their turn, are used to study optimal or canonical, in a certain sense, weight sequences defining inductive...
Continuation of positive, closed currents and analytic sets.
Continuing Analytic Sets Across IRn.
Contribution du cup-produit de la fibre de Milnor aux pôles de
Nous montrons comment un cup-produit non trivial entre deux blocs de Jordan pour une même valeur propre de la monodromie agissant sur la cohomologie de la fibre de Milnor d’un germe de fonction holomorphe provoque des pôles d’ordres élevés pour le prolongement méromorphe de . Pour la valeur propre 1 ceci donne en particulier le phénomène de “contribution sur-effective”.
Contribution effective dans le réel
Counterexamples in Holomorphic Functions on Nuclear Fréchet Spaces.
CR-Distributions and Analytic Continuation at Generating Edges.
Cross theorem
Let D,G ⊂ ℂ be domains, let A ⊂ D, B ⊂ G be locally regular sets, and let X:= (D×B)∪(A×G). Assume that A is a Borel set. Let M be a proper analytic subset of an open neighborhood of X. Then there exists a pure 1-dimensional analytic subset M̂ of the envelope of holomorphy X̂ of X such that any function separately holomorphic on X∖M extends to a holomorphic function on X̂ ∖M̂. The result generalizes special cases which were studied in [Ökt 1998], [Ökt 1999], and [Sic 2000].