Multivariate Orthogonal Laurent Polynomials and Integrable Systems

@inproceedings{Ariznabarreta2015MultivariateOL,
  title={Multivariate Orthogonal Laurent Polynomials and Integrable Systems},
  author={Gerardo Ariznabarreta and Manuel Ma{\~n}as},
  year={2015}
}
An ordering for Laurent polynomials in the algebraic torus (C∗)D, inspired by the Cantero–Moral– Velázquez approach to orthogonal Laurent polynomials in the unit circle, leads to the construction of a moment matrix for a given Borel measure in the unit torus T. The Gauss–Borel factorization of this moment matrix allows for the construction of multivariate biorthogonal Laurent polynomials in the unit torus which can be expressed as last quasi-determinants of bordered truncations of the moment… CONTINUE READING

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