Geodesic
On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures
Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 88-112

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we prove that any sequence of polynomials (pn )n for which dgr(pn ) = n which satisfies a (2N + l)-term recurrence relation is orthogonal with respect to a positive definite N × N matrix of measures. We use that result to prove asymptotic properties of the kernel polynomials associated to a positive measure or a positive definite matrix of measures. Finally, some examples are given.
DOI : 10.4153/CJM-1995-005-8
Mots-clés : 42C05, 15A57, orthogonal polynomials, recurrence relation, positive definite matrices 
Duran, Antonio J. On Orthogonal Polynomials With Respect to a Positive Definite Matrix of Measures. Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 88-112. doi: 10.4153/CJM-1995-005-8
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