Polynomials defining distinguished varieties
classification
🧮 math.CV
math.FA
keywords
distinguishedvarietiesableformulapolynomialsrepresentationbidiskbounded
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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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