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Non-linearity of the pluricomplex Green function

Author: Frank Wikström
Journal: Proc. Amer. Math. Soc. 129 (2001), 1051-1056
MSC (2000): Primary 32U35; Secondary 32F45
Published electronically: October 10, 2000
MathSciNet review: 1712869
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Abstract | References | Similar Articles | Additional Information


We consider the pluricomplex Green function with multiple poles as introduced by Lelong. We give a partial solution to a question concerning the set where the multipole Green function coincides with the sum of the corresponding single pole Green functions.

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Additional Information

Frank Wikström
Affiliation: Department of Mathematics, Umeå University, S-901 87 Umeå, Sweden

Keywords: Pluricomplex Green function with multiple poles, analytic discs, invariant distances
Received by editor(s): June 25, 1999
Published electronically: October 10, 2000
Communicated by: Steven R. Bell
Article copyright: © Copyright 2000 American Mathematical Society