Skip to main content

Basics

  • Chapter
  • First Online:
Book cover Lectures on Several Complex Variables
  • 1719 Accesses

Abstract

Two striking theorems of Hartogs, which have no counterpart in a single variable, are introduced: the Hartogs theorem on separate holomorphy and the Hartogs phenomenon on the possibility of extending holomorphic functions.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 89.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

References

  1. Krantz, S.T.: Complex Analysis: The Geometric Viewpoint. Second edition. Carus Mathematical Monographs, vol. 23. Mathematical Association of America, Washington, DC (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Gauthier, P.M. (2014). Basics. In: Lectures on Several Complex Variables. Springer, Cham. https://doi.org/10.1007/978-3-319-11511-5_2

Download citation

Publish with us

Policies and ethics