# Sur les familles de fonctions analytiques de plusieurs variables

@article{JuliaSurLF,
title={Sur les familles de fonctions analytiques de plusieurs variables},
author={G. Julia},
journal={Acta Mathematica},
volume={47},
pages={53-115}
}
28 Citations
On a normality criterion of S. Mandelbrojt
Extension of classical Mandelbrojt's criterion for normality of a family of holomorphic zero-free functions of several complex variables is given. We show that a family of holomorphic functions ofExpand
On a normality criterion of Mandelbrojt
Extension of the classical Mandelbrojt’s criterion for normality of a family of zero-free holomorphic functions of several complex variables is given. We show that a family of holomorphic functionsExpand
The Normality Domain of a Family of Holomorphic Functions on a Stein Space (II)
Let $X$ be a Stein space. We prove that for any family $\mathcal{F} \subset \mathcal{O}(X)$ every normality domain of it in a weak sence is a meromorphically $\mathcal{O}(X)$ - convex domain of $X$.
On a normality criterion of S. Mandelbrojt
Extension of classical Mandelbrojt’s criterion for normality of a family of holomorphic zero-free functions of several complex variables is given. We show that a family of holomorphic functions ofExpand
Weak normality of families of meromorphic mappings and bubbling in higher dimensions
• Mathematics
• 2011
We recall several natural notions of convergence of meromorphic mappings between general complex manifolds and give a precise analytic description of them in the case when the target manifold isExpand
Normal families of functions and groups of pseudoconformal diffeomorphisms of quaternion and octonion variables
This paper is devoted to the specific class of pseudoconformal mappings of quaternion and octonion variables. Normal families of such functions are defined and investigated. Four criteria of a familyExpand
Meromorphic approximation theorem in a Stein space
We prove the meromorphic version of the Weil–Oka approximation theorem in a reduced Stein space X and give some characterizations of meromorphically $\mathcal{O}(X)$-convex open sets of X. As anExpand
On the meromorphic convexity of normality domains in a Stein manifold
• Mathematics
• 2000
Abstract: Let X be a Stein manifold. Then we prove that for any family ℱ⊂?(X) the normality domain Dℱ) is a meromorphically ?(X)-convex open set of X.