TY - BOOK AU - Barroso,Jorge Alberto TI - Introduction to holomorphy T2 - North-Holland mathematics studies SN - 9780080872179 (electronic bk.) AV - QA322.2 .B37 1985eb U1 - 515.7/3 22 PY - 1985/// CY - Amsterdam, New York, New York, N.Y. PB - North Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. KW - Normed linear spaces KW - Domains of holomorphy KW - Normed linear spaces. Domains of holomorphy KW - Espaces lin�eaires norm�es KW - Domaines d'holomorphie KW - MATHEMATICS KW - Transformations KW - bisacsh KW - fast KW - Mathematics KW - Holomorphic functions KW - Electronic books N1 - 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 N2 - 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 UR - http://www.sciencedirect.com/science/book/9780444876669 ER -