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Complex Analysis in Locally Convex Spaces

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Author(s): Seán Dineen (Eds.)
Series: North-Holland Mathematics Studies 57
Publisher: Elsevier, Academic Press
Year: 1981

Language: English
Pages: iii-x, 1-492

Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Foreword
Pages vii-x
Seán Dineen

Chapter 1 Polynomials on Locally Convex Topological Vector Spaces
Pages 1-52

Chapter 2 Holomorphic Mappings between Locally Convex Spaces
Pages 53-107

Chapter 3 Holomorphic Functions on Balanced Sets
Pages 109-157

Chapter 4 Holomorphic Functions on Banach Spaces
Pages 159-215

Chapter 5 Holomorphic Functions on Nuclear Spaces with a Basis
Pages 217-296

Chapter 6 Germs, Surjective Limits, ɛ -Products and Power Series Spaces
Pages 297-364

Appendix I Further Developments in Infinite Dimensional Holomorphy
Pages 365-396

Appendix II Definitions and Results from Functional Analysis, Several Complex Variables and Topology
Pages 397-409

Apendix III Notes on Some Exercises
Pages 411-431

Bibliography
Pages 433-479

Index
Pages 481-492