Poisson brackets of orthogonal polynomials

@article{Cantero2009PoissonBO,
  title={Poisson brackets of orthogonal polynomials},
  author={M. J. Cantero and B. Simon},
  journal={J. Approx. Theory},
  year={2009},
  volume={158},
  pages={3-48}
}
For the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of OPRL and OPUC, and relate these to other basic Poisson brackets and to Jacobians of basic changes of variable. 

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