Approximation through holomorphic functions of controlled growth.

Philippe Charpentier; Yves Dupain; Modi Mounkaila

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 2, page 269-298
  • ISSN: 0214-1493

Abstract

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Let Ω be a bounded pseudo-convex domain in Cn 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 Cn. We establish the existence of holomorphic functions of given growth having a "prescribed behaviour" in almost all normals arising from points of S.

How to cite

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Charpentier, Philippe, Dupain, Yves, and Mounkaila, Modi. "Approximation par des fonctions holomorphes à croissance contrôlée.." Publicacions Matemàtiques 38.2 (1994): 269-298. <http://eudml.org/doc/41189>.

@article{Charpentier1994,
author = {Charpentier, Philippe, Dupain, Yves, Mounkaila, Modi},
journal = {Publicacions Matemàtiques},
keywords = {Funciones analíticas; Funciones holomorfas; Bola unidad; Dominios pseudoconvexos; holomorphic approximation; pseudoconvex domains},
language = {fre},
number = {2},
pages = {269-298},
title = {Approximation par des fonctions holomorphes à croissance contrôlée.},
url = {http://eudml.org/doc/41189},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Charpentier, Philippe
AU - Dupain, Yves
AU - Mounkaila, Modi
TI - Approximation par des fonctions holomorphes à croissance contrôlée.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 2
SP - 269
EP - 298
LA - fre
KW - Funciones analíticas; Funciones holomorfas; Bola unidad; Dominios pseudoconvexos; holomorphic approximation; pseudoconvex domains
UR - http://eudml.org/doc/41189
ER -

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