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math.CA2024
Singular solutions of the matrix Bochner problem: the -dimensional cases
Ignacio Bono Parisi, Inés Pacharoni
In the theory of matrix-valued orthogonal polynomials, there exists a longstanding problem known as the Matrix Bochner Problem: the classification of all weight matric…
math.CA2024
On a new equivalence relation for matrix-valued orthogonal polynomials
Ignacio Bono Parisi, Inés Pacharoni, Ignacio Zurrián
In this work, we give some criteria that allow us to decide when two sequences of matrix-valued orthogonal polynomials are related via a Darboux transformation and how to build suc…