Carleman's formulas and conditions of analytic extendability
Cartan-Thullen theorem for domains spread over ...-spaces.
Cauchy-Kowalewski extension theorems and representations of analytic functionals acting over special classes of real n-dimensional submanifolds of
Cauchy-Riemann functions on manifolds of higher codimension in complex space.
Central morphisms and envelopes of holomorphy.
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.
Composition operators: to the Bloch space to
Let ,B and Qβ be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and are Möbius invariant, but is not. We characterize, in function-theoretic terms, when the composition operator induced by an analytic self-map ϕ of the unit disk defines an operator , , which is bounded resp. compact.
Conjecture de Globevnik-Stout et théorème de Morera pour une chaîne holomorphe
Construction d'enveloppes d'holomorphie par l'méthode de H. Cartan et P.Thullen.
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 holomorphic solutions to convolution equations in complex domains
For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Continuation of positive, closed currents and analytic sets.
Continuing Analytic Sets Across IRn.
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection is finite and proper, then has a right inverse
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.