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Uvarov Perturbations for Matrix Orthogonal Polynomials
Published 8 Dec 2023 in math.CA | (2312.05137v1)
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.
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