Domains of Holomorphy

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


General Hartogs Figures. The subject of this chapter is the continuation of holomorphic functions. We consider domains in ℂ n , for n ≥ 2. A typical example is the Euclidean Hartogs figure (P n , H), where P n = P n (0, 1) is the unit polydisk, and
$$ H = \left\{ {z \in {P^n}:\left| {{z_1}} \right| > {q_1}\;or\;\left| {{z_{\nu }}} \right| < q{}_{\nu }\;for\;\nu = 2, \ldots, n} \right\}. $$


Holomorphic Function Open Neighborhood Pseudoconvex Domain Plurisubharmonic Function Holomorphic Extension 


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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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