Uvarov Perturbations for Matrix Orthogonal Polynomials
Classical Analysis and ODEs
2023-12-11 v1
Abstract
Additive perturbations, specifically, matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel-Uvarov formulas are deduced for the perturbed biorthogonal families, along with their matrix norms. These formulations are expressed in terms of the spectral jets of the Christoffel-Darboux kernels.
Cite
@article{arxiv.2312.05137,
title = {Uvarov Perturbations for Matrix Orthogonal Polynomials},
author = {Gerardo Ariznabarreta and Juan C. García-Ardila and Manuel Mañas and Francisco Marcellán},
journal= {arXiv preprint arXiv:2312.05137},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1605.04617