English

Polynomials defining distinguished varieties

Complex Variables 2013-02-06 v1 Functional Analysis

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 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.

Keywords

Cite

@article{arxiv.0909.1818,
  title  = {Polynomials defining distinguished varieties},
  author = {Greg Knese},
  journal= {arXiv preprint arXiv:0909.1818},
  year   = {2013}
}

Comments

26 pages

R2 v1 2026-06-21T13:44:38.055Z