Holomorphic Functions

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


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.


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