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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Polynomially convex hulls
of graphs on the sphere


Authors: Toshiya Jimbo and Akira Sakai
Journal: Proc. Amer. Math. Soc. 127 (1999), 2697-2702
MSC (1991): Primary 32E20
DOI: https://doi.org/10.1090/S0002-9939-99-04922-9
Published electronically: April 15, 1999
MathSciNet review: 1610917
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $\Sigma$ be the graph of a continuous map of the unit sphere of $\mathbb C^n$ into $\mathbb C^m$, and $h(\Sigma)$ the polynomially convex hull of $\Sigma$. Several examples of $h(\Sigma)$ for $n=m>1$ are given, which have different properties from the known ones for $n>m$.


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Additional Information

Toshiya Jimbo
Affiliation: Department of Mathematics, Nara University of Education, Takabatake, Nara 630-8528, Japan
Email: jimbo@nara-edu.ac.jp

Akira Sakai
Affiliation: Yamadanishi 2-9,A3-612 Suita, Osaka 565-0824, Japan
Email: CXH02215@niftyserve.or.jp

DOI: https://doi.org/10.1090/S0002-9939-99-04922-9
Received by editor(s): November 20, 1997
Published electronically: April 15, 1999
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1999 American Mathematical Society