Two variable deformations of the Chebyshev measure

Details Two variable deformations of the Chebyshev measure Two variable deformations of the Chebyshev measure

2006-12-17

arxiv.org/abs/math/0612489v1

in "Integrable Systems and Random Matrices: In Honor of Percy Deift", pp. 197--213, Contemp. Math. 458, Amer. Math. Soc., Prov

Mathematics

Classical Analysis and ODEs

16 pages

Scientific paper

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.

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