Introduction to Holomorphy

Description

This book presents, 011 the one hand, a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications. On the other hand, for reasons of personal taste but also (and especially) because of the importance of the matter, some incursions have been made into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces.

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