Abstract
AbstractWe study the relation between certain non-degenerate lower Hessenberg infinite matrices $${\mathcal {G}}$$
G
and the existence of sequences of orthogonal polynomials with respect to Sobolev inner products. In other words, we extend the well-known Favard theorem for Sobolev orthogonality. We characterize the structure of the matrix $${\mathcal {G}}$$
G
and the associated matrix of formal moments $${\mathcal {M}}_{{\mathcal {G}}}$$
M
G
in terms of certain matrix operators.
Funder
Fondo Nacional de Innovación y Desarrollo Científico-Tecnológico
Publisher
Springer Science and Business Media LLC
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