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dc.contributor.authorGrünbaum, F. Alberto
dc.contributor.authorDe la Iglesia, Manuel D.
dc.contributor.authorMartínez-Finkelshtein, Andrei
dc.date.accessioned2012-07-12T11:52:52Z
dc.date.available2012-07-12T11:52:52Z
dc.date.issued2011
dc.identifier.issn1815-0659
dc.identifier.urihttp://hdl.handle.net/10835/1591
dc.description.abstractWe give a Riemann–Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding orthogonal polynomials. We will show that in the matrix case there is some extra freedom that allows us to obtain a family of ladder operators, some of them of 0-th order, something that is not possible in the scalar case. The combination of the ladder operators will lead to a family of second-order differential equations satisfied by the orthogonal polynomials, some of them of 0-th and first order, something also impossible in the scalar setting. This shows that the differential properties in the matrix case are much more complicated than in the scalar situation. We will study several examples given in the last years as well as others not considered so far.es_ES
dc.language.isoenes_ES
dc.sourceSIGMA Volumen 7 (2011), 098es_ES
dc.subjectMatriz de polinomios ortogonaleses_ES
dc.subjectMatrix orthogonal polynomialses_ES
dc.subjectRiemann–Hilbertes_ES
dc.titleProperties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterizationes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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