RT Journal Article
T1 Mixed-type multiple orthogonal Laurent polynomials on the unit circle
A1 Huertas, Edmundo J.
A1 Mañas Baena, Manuel Enrique
AB Mixed-type orthogonal Laurent polynomials on the unit circle of CMV type are constructed utilizing a matrix of moments and its Gauss–Borel factorization and employing a multiple extension of the CMV ordering. A systematic analysis of the associated multiple orthogonality and biorthogonality relations, and an examination of the degrees of the Laurent polynomials is given. Recurrence relations, expressed in terms of banded matrices, are found. These recurrence relations lay the groundwork for corresponding Christoffel–Darboux kernels and relations, as well as for elucidating the ABC theorem. The paper also develops the theory of diagonal Christoffel and Geronimus perturbations of the matrix of measures. Christoffel formulas are found for both perturbations.
PB Elsevier
SN 0377-0427
YR 2026
FD 2026-03
LK https://hdl.handle.net/20.500.14352/133638
UL https://hdl.handle.net/20.500.14352/133638
LA eng
NO E.J. Huertas, M. Mañas, Mixed-type multiple orthogonal Laurent polynomials on the unit circle, Journal of Computational and Applied Mathematics 475 (2026) 117037. https://doi.org/10.1016/j.cam.2025.117037.
NO 2025 Acuerdos transformativos CRUE-CSIC© 2025 The Author(s).CM/JIN/2021-014Programa Ayudas de Recualificación del Sistema Universitario Español para 2021–2023 (Convocatoria 2022)
NO Comunidad de Madrid
NO Universidad de Alcalá
NO European Commission
NO Ministerio de Ciencia e Innovación (España)
NO Agencia Estatal de Investigación (España)
NO Instituto de Ciencia Matemáticas
DS Docta Complutense
RD 9 mar 2026