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Holomorphic Functions

  • Klaus Fritzsche
  • Hans Grauert
Part of the Graduate Texts in Mathematics book series (GTM, volume 213)

Abstract

Real and Complex Structures. Let V be an n-dimensional complex vector space. Then V can also be regarded as a 2n-dimensional real vector space, and multiplication by \( i\,: = \sqrt {{ - 1}} \) gives a real endomorphism J: VV with J2 = -idV. If {a1,…, an} is a complex basis of V, then {a1,…, an, ia1,…, ia n } is a real basis of V.

Keywords

Power Series Holomorphic Function Open Neighborhood Power Series Expansion Cauchy Integral Formula 
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.

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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Klaus Fritzsche
    • 1
  • Hans Grauert
    • 2
  1. 1.Bergische Universität WuppertalWuppertalGermany
  2. 2.Mathematisches InstitutGeorg-August-Universität GöttingenGöttingenGermany

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