Distribution des valeurs des fonctions analytiques multiformes
Distributional boundary values and the tempered ultra-distributions
Distributional boundary values in . III
Distributional boundary values in (IV)
Distributional boundary values in . V
Diviseurs de Leibenson et problème de Gleason pour dans le cas convexe
Division and extension in weighted Bergman-Sobolev spaces.
Let D be a bounded strictly pseudoconvex domain of Cn with C ∞ boundary and Y = {z; u1(z) = ... = ul(z) = 0} a holomorphic submanifold in the neighbourhood of D', of codimension l and transversal to the boundary of D.In this work we give a decomposition formula f = u1f1 + ... + ulfl for functions f of the Bergman-Sobolev space vanishing on M = Y ∩ D. Also we give necessary and sufficient conditions on a set of holomorphic functions {fα}|α|≤m on M, so that there exists a holomorphic function in the...
Division dans l'anneau des séries formelles à croissance contrôlée. Applications
We consider subrings A of the ring of formal power series. They are defined by growth conditions on coefficients such as, for instance, Gevrey conditions. We prove a Weierstrass-Hironaka division theorem for such subrings. Moreover, given an ideal ℐ of A and a series f in A we prove the existence in A of a unique remainder r modulo ℐ. As a consequence, we get a new proof of the noetherianity of A.
Division et extension dans l'algèbre A...(...) d'un ouvert pseudo-convexe à bord lisse de ...n.
Domaines de , pseudoconvexes et de type fini ayant un groupe non compact d’automorphismes
On démontre que les domaines bornés, pseudo-convexes, à frontière lisse, de type fini dans , ayant un groupe d’automorphismes non compact sont biholomorphes à des domaines de la forme , où est un polynôme sousharmonique dont le degré est majoré par le type de la frontière du domaine.
Domaines de Steinet fonctionsholomorphes bornés.
Domains which are locally uniformly linearly convex in the Kobayashi distance.
Domains with Finite Dimensional Bergman Space.
Doubly commuting submodules of the Hardy module over polydiscs
In this note we establish a vector-valued version of Beurling’s theorem (the Lax-Halmos theorem) for the polydisc. As an application of the main result, we provide necessary and sufficient conditions for the “weak” completion problem in .
Dual of the space of holomorphic functions with continuous boundary values on a strictly pseudo-convex domain in Cn.
Dualität in der Funktionentheorie.
Duality theorems for Hardy and Bergman spaces on convex domains of finite type in
We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in -dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.