Polynomials defining distinguished varieties

Details Polynomials defining distinguished varieties Polynomials defining distinguished varieties

2009-09-09

arxiv.org/abs/0909.1818v1

Mathematics

Complex Variables

26 pages

Scientific paper

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 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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