Skip to main content

Weak analytic continuation from compact subsets of Cn

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

Keywords

  • Compact Subset
  • Holomorphic Function
  • Topological Vector Space
  • Extremal Function
  • Plurisubharmonic Function

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. J. Bochnak and J. Siciak, Polynomials and multilinear mappings in topological vector spaces, Studia Math. 39(1) (1971), 59–76.

    MathSciNet  MATH  Google Scholar 

  2. J. Bochnak and J. Siciak, Analytic functions in topological vector spaces, ibidem 39(1) (1971), 77–112.

    MathSciNet  MATH  Google Scholar 

  3. M. Hervé, Analytic and plurisubharmonic functions in finite and infinite dimensional spaces, Springer Lecture Notes 198.

    Google Scholar 

  4. E. Ligocka and J. Siciak, Weak analytic continuation, Bull. Acad. Polon. Sci. 20 (6) (1972), 461–466.

    MathSciNet  MATH  Google Scholar 

  5. J. Siciak, On some extremal functions and their applications in the theory of analytic functions of several complex variables, Trans. Amer. Math. Soc. 105(2) (1962), 322–357.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. J. Siciak, Separately analytic functions and envelopes of holomorphy of some lower dimensional subsets of C n, Ann. Pol. Math. 22(1969), 145–171.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1974 Springer-Verlag Berlin

About this paper

Cite this paper

Siciak, J. (1974). Weak analytic continuation from compact subsets of Cn . In: Hayden, T.L., Suffridge, T.J. (eds) Proceedings on Infinite Dimensional Holomorphy. Lecture Notes in Mathematics, vol 364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069007

Download citation

  • DOI: https://doi.org/10.1007/BFb0069007

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06619-4

  • Online ISBN: 978-3-540-37915-7

  • eBook Packages: Springer Book Archive