On a Christoffel Transformation for Matrix Measures Supported on the Unit Circle

Author:

Dueñas H.,Fuentes E.,Garza L. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Analysis

Reference37 articles.

1. Álvarez-Fernández, C., Ariznabarreta, G., García-Ardila, J.C., Mañas, M., Marcellán, F.: Christoffel transformations for matrix orthogonal polynomials in the real line and the non-Abelian 2D Toda lattice hierarchy. Int. Math. Res. Not 5, 1285–1341 (2017)

2. Álvarez-Fernández, C., Ariznabarreta, G., García-Ardila, J.C., Mañas, M., Marcellán, F.: Transformation theory and Christoffel formulas for matrix biorthogonal polynomials on the real line. arXiv:1605.04617 [math.CA]

3. Aptekarev A.I.,Nikishin, E. M.: The scattering problem for a discrete Sturm-Liouville operator, Mat. Sb. (N.S.), 121(163):3(7), 327-358 (1983)

4. Math. USSR-Sb., 49(2), 325-355 (1984)

5. Ariznabarreta, G., Mañas, M.: Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems. Adv. Math. 264, 396–463 (2014)

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