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Approximation par des fonctions holomorphes à croissance contrôlée.

Philippe CharpentierYves DupainModi Mounkaila — 1994

Publicacions Matemàtiques

Let Ω be a bounded pseudo-convex domain in C with a C boundary, and let S be the set of strictly pseudo-convex points of ∂Ω. In this paper, we study the asymptotic behaviour of holomorphic functions along normals arising from points of S. We extend results obtained by M. Ortel and W. Schneider in the unit disc and those of A. Iordan and Y. Dupain in the unit ball of C. We establish the existence of holomorphic functions of given growth having a "prescribed behaviour" in almost all normals arising...

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