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Polynomials defining distinguished varieties
Author(s):
Greg
Knese
Journal:
Trans. Amer. Math. Soc.
362
(2010),
5635-5655.
MSC (2010):
Primary 47A57, 47A13, 14M99, 32A10, 32A60, 14H50
Posted:
June 11, 2010
MathSciNet review:
2661491
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Additional information
Abstract:
Using a sums of squares formula for two-variable polynomials with no zeros on the bidisk, we are able to give a new proof of a representation formula for distinguished varieties. For distinguished varieties with no singularities on the two-torus, we are able to provide extra details about the representation formula and use this to prove a bounded extension theorem.
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MSC (2010):
47A57, 47A13, 14M99, 32A10, 32A60, 14H50
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MSC (2010):
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Additional Information:
Greg
Knese
Affiliation:
Department of Mathematics, University of California, Irvine, Irvine, California 92614-3875
Address at time of publication:
Department of Mathematics, University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350
Email:
gknese@uci.edu, gknese@bama.ua.edu
DOI:
10.1090/S0002-9947-2010-05275-4
PII:
S 0002-9947(2010)05275-4
Keywords:
Distinguished varieties,
stable polynomials,
bidisk
Received by editor(s):
March 25, 2008
Posted:
June 11, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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