English

Two variable deformations of the Chebyshev measure

Classical Analysis and ODEs 2012-09-20 v1

Abstract

We construct one and two parameter deformations of the two dimensional Chebyshev polynomials with simple recurrence coefficients, following the algorithm in [3]. Using inverse scattering techniques, we compute the corresponding orthogonality measures.

Keywords

Cite

@article{arxiv.math/0612489,
  title  = {Two variable deformations of the Chebyshev measure},
  author = {Jeffrey S. Geronimo and Plamen Iliev},
  journal= {arXiv preprint arXiv:math/0612489},
  year   = {2012}
}

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16 pages