Chebyshev constants and transfinite diameter on algebraic curves in C^2 [preprint]

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dc.contributor.author Ma'u, SN en
dc.date.accessioned 2012-04-16T22:51:04Z en
dc.date.available 2012-04-16T22:51:04Z en
dc.date.issued 2011 en
dc.identifier.citation Indiana University Mathematics Journal Preprints http://www.iumj.indiana.edu/IUMJ/forthcoming.php 25 pages 2011 en
dc.identifier.issn 0022-2518 en
dc.identifier.uri http://hdl.handle.net/2292/17307 en
dc.description.abstract Directional Chebyshev constants and transfinite diameter are de- fined for compact subsets of a complex algebraic curve in C2 . Given such a compact subset K, a formula equating the geometric mean of the directional Chebyshev constants of K with its transfinite diameter is proved. This formula generalizes the relation between the classical transfinite diameter and Cheby- shev constant in the complex plane, and is a discrete analog of Zaharjuta’s integral formula for the Fekete-Leja transfinite diameter in Cn . Further prop- erties of the Chebyshev constants and transfinite diameter are also studied. en
dc.publisher Indiana University en
dc.relation.ispartofseries Indiana University Mathematics Journal Preprints en
dc.relation.isreplacedby 2292/25224 en
dc.relation.isreplacedby http://hdl.handle.net/2292/25224 en
dc.rights Items in ResearchSpace are protected by copyright, with all rights reserved, unless otherwise indicated. Previously published items are made available in accordance with the copyright policy of the publisher. Details obtained from http://www.sherpa.ac.uk/romeo/issn/0022-2518/ en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri http://www.iumj.indiana.edu/IUMJ/Preprints/4400.pdf en
dc.title Chebyshev constants and transfinite diameter on algebraic curves in C^2 [preprint] en
dc.type Journal Article en
dc.rights.holder Copyright: the Author en
pubs.author-url http://www.iumj.indiana.edu/IUMJ/forthcoming.php en
pubs.publication-status Accepted en
dc.rights.accessrights http://purl.org/eprint/accessRights/RestrictedAccess en
pubs.elements-id 308133 en
pubs.org-id Faculty of Science en
pubs.org-id Mathematics en


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