Introduction to holomorphy [electronic resource] / Jorge Alberto Barroso.

By: Barroso, Jorge AlbertoMaterial type: Text

TextSeries: North-Holland mathematics studies ; 106. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 98.Publication details: Amsterdam ; New York : New York, N.Y. : North Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985. Description: 1 online resource (xiv, 301 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780080872179 (electronic bk.); 0080872174 (electronic bk.)Subject(s): Normed linear spaces | Domains of holomorphy | Normed linear spaces. Domains of holomorphy | Espaces lin�eaires norm�es | Domaines d'holomorphie | MATHEMATICS -- Transformations | Domains of holomorphy | Normed linear spaces | Mathematics Holomorphic functionsGenre/Form: Electronic books.Additional physical formats: Print version:: Introduction to holomorphy.DDC classification: 515.7/3 LOC classification: QA322.2 | .B37 1985ebOnline resources: ScienceDirect

Contents:

Front Cover; Introduction to Holomorphy; Copyright Page; FOREWORD; TABLE OF CONTENTS; PART I: THE NORMED CASE; PART Il: THE LOCALLY CONVEX CASE; BIBLIOGRAPHY; AN INDEX OF DEFINITIONS; AUTHOR INDEX.

Summary: 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.

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Includes bibliographical references (pages 279-295) and indexes.

Front Cover; Introduction to Holomorphy; Copyright Page; FOREWORD; TABLE OF CONTENTS; PART I: THE NORMED CASE; PART Il: THE LOCALLY CONVEX CASE; BIBLIOGRAPHY; AN INDEX OF DEFINITIONS; AUTHOR INDEX.

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.

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