Polynomials defining distinguished varieties
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- by Greg Knese PDF
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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.References
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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
- MR Author ID: 813491
- Email: gknese@uci.edu, gknese@bama.ua.edu
- Received by editor(s): March 25, 2008
- Published electronically: June 11, 2010
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 5635-5655
- MSC (2010): Primary 47A57, 47A13, 14M99, 32A10, 32A60, 14H50
- DOI: https://doi.org/10.1090/S0002-9947-2010-05275-4
- MathSciNet review: 2661491