Two variable deformations of the Chebyshev measure

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.

16 pages

References in corpus (2)

• Infinite J-matrices and a matrix moment problem
• Two Variable Orthogonal Polynomials on the Bi-circle and Structured Matrices

Cited by in corpus (3)

• On a two variable class of Bernstein-Szego measures
• The Darboux process and a noncommutative bispectral problem
• Bernstein-Szegő measures in the plane