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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Möbius function of coordinate hyperplanes in complex ellipsoids


Author: Witold Jarnicki
Journal: Proc. Amer. Math. Soc. 132 (2004), 3243-3250
MSC (2000): Primary 32F45, 32U35
Published electronically: June 17, 2004
MathSciNet review: 2073298
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Abstract: For $p_1,\dots,p_n>0$, let $\mathbb{E}=\{z\in\mathbb{C}^n:\sum_{j=1}^n\vert z_j\vert^{2p_j}<1\}$ be a complex ellipsoid. We present effective formulas for the generalized Möbius and Green functions $m_{\mathbb{E}}(A,\cdot)$, $g_{\mathbb{E}}(A,\cdot)$ in the case where $A:=\{z\in\mathbb{E}:z_1\cdots z_k=0\}$ ( $1\leq k\leq n$).


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Additional Information

Witold Jarnicki
Affiliation: Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland
Address at time of publication: Universität Osnabrück, Fachbereich Mathematik/Informatik, Albrechtstraße 28, 49069 Osnabrück, Germany
Email: wmj@im.uj.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07546-X
PII: S 0002-9939(04)07546-X
Received by editor(s): June 23, 2003
Published electronically: June 17, 2004
Additional Notes: The author was supported in part by KBN grant no. 2 P03A 015 22.
Communicated by: Mei-Chi Shaw
Article copyright: © Copyright 2004 American Mathematical Society