A Montel Theorem for Holomorphic Functions on Infinite Dimensional Spaces that Omit the Values 0 and 1

Let X be a connected complex Banach manifold. We give a proof that the set of holomorphic functions on X that omit the values 0 and 1 is a normal family.

Saved in:

Bibliographic Details
Published in:	Computational methods and function theory Vol. 8; no. 1; pp. 195 - 198
Main Author:	Earle, Clifford J.
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer-Verlag 01.05.2008
Subjects:	Analysis Computational Mathematics and Numerical Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics normal families 46G20 Montel’s Theorem
ISSN:	1617-9447, 2195-3724
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	Let X be a connected complex Banach manifold. We give a proof that the set of holomorphic functions on X that omit the values 0 and 1 is a normal family.
ISSN:	1617-9447 2195-3724
DOI:	10.1007/BF03321682