Introduction to holomorphy

書誌事項

Introduction to holomorphy

Jorge Alberto Barroso

(North-Holland mathematics studies, 106)(Notas de matemática, 98)

North Holland , Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985

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注記

Bibliography: p. 279-295

Includes indexes

内容説明・目次

内容説明

This book presents 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.The author also makes ``incursions'' 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.Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.

目次

Part I: The Normed Case. Part II: The Locally Convex Case.

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