Proceedings on Infinite Dimensional Holomorphy

University of Kentucky 1973

  • Editors
  • T. L. Hayden
  • T. J. Suffridge
Conference proceedings

Part of the Lecture Notes in Mathematics book series (LNM, volume 364)

Table of contents

  1. Front Matter
    Pages N2-VII
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  2. Holomorphic functions and surjective limits
    Seán Dineen
    Pages 1-12
  3. Bounded symmetric homogeneous domains in infinite dimensional spaces
    Lawrence A. Harris
    Pages 13-40
  4. Lindelöf's principle in infinite dimensions
    Michel Hervé
    Pages 41-57
  5. Plurisubharmonic functions in topological vector spaces: Polar sets and problems of measure
    Pierre Lelong
    Pages 58-68
  6. A glimpse at infinite dimensional holomorphy
    Leopoldo Nachbin
    Pages 69-79
  7. Holomorphic extensions and domains of holomorphy for general function algebras
    C. E. Rickart
    Pages 80-91
  8. Weak analytic continuation from compact subsets of Cn
    Józef Siciak
    Pages 92-96
  9. Weak analytic functions and the closed graph theorem
    Lucien Waelbroeck
    Pages 97-100
  10. The holomorphic functional calculus and infinite dimensional holomorphy
    Lucien Waelbroeck
    Pages 101-108
  11. The spectrum as envelope of holomorphy of a domain over an arbitrary product of complex lines
    Volker Aurich
    Pages 109-122
  12. On bounded sets of holomorphic mappings
    Jorge Alberto Barroso, Mário C. Matos, Leopoldo Nachbin
    Pages 123-134
  13. Malgrange theorem for entire functions on nuclear spaces
    Philip J. Boland
    Pages 135-144
  14. On some various notions of infinite dimensional holomorphy
    J. F. Colombeau
    Pages 145-149
  15. Approximation and homotopy properties for holomorphic extension in ℓ2
    Stephen J. Greenfield
    Pages 150-156
  16. On the weierstrass problem in Banach spaces
    Yves Hervier
    Pages 157-167
  17. A counterexample in the Levi problem
    Bengt Josefson
    Pages 168-177
  18. Approximation of holomorphic or plurisubharmonic functions in certain banach spaces
    Philippe Noverraz
    Pages 178-185
  19. Some recent results and open problems in infinite dimensional analytic geometry
    J. P. Ramis
    Pages 186-195
  20. Biemann domains: Basic results and open problems
    Martin Schottenloher
    Pages 196-212

About these proceedings

Keywords

Finite Holomorphe Funktion Holomorphic Extension Holomorphy algebra calculus function geometry theorem

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0069000
  • Copyright Information Springer-Verlag Berlin Heidelberg 1974
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-06619-4
  • Online ISBN 978-3-540-37915-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book