The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann-Hilbert problems

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dc.contributor.author Álvarez-Fernández, Carlos
dc.contributor.author Fidalgo Prieto, Ulises
dc.contributor.author Mañas, Manuel
dc.date.accessioned 2010-01-14T10:26:16Z
dc.date.available 2010-01-14T10:26:16Z
dc.date.issued 2009-11-04
dc.identifier.bibliographicCitation arXiv:0911.0941v1
dc.identifier.uri http://hdl.handle.net/10016/6386
dc.description 15 pages.-- ArXiv pre-print available at: http://arxiv.org/abs/0911.0941
dc.description Submitted to: Inverse Problems
dc.description.abstract We consider the relation of the multi-component 2D Toda hierarchy with matrix orthogonal and biorthogonal polynomials. The multi-graded Hankel reduction of this hierarchy is considered and the corresponding generalized matrix orthogonal polynomials are studied. In particular for these polynomials we consider the recursion relations, and for rank one weights its relation with multiple orthogonal polynomials of mixed type with a type II normalization and the corresponding link with a Riemann--Hilbert problem.
dc.description.sponsorship MM thanks economical support from the Spanish Ministerio de Ciencia e Innovación, research project FIS2008-00200 and UF thanks economical support from the Spanish Ministerio de Ciencia e Innovación research projects MTM2006-13000-C03-02 and MTM2007-62945 and from Comunidad de Madrid/Universidad Carlos III de Madrid project CCG07-UC3M/ESP-3339.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.title The multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann-Hilbert problems
dc.type article
dc.type.review NonPeerReviewed
dc.description.status No publicado
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
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