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

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dc.contributor.authorÁlvarez Fernández, Carlos
dc.contributor.authorFidalgo Prieto, Ulises
dc.contributor.authorMañas Baena, Manuel Enrique
dc.date.accessioned2023-06-20T03:56:25Z
dc.date.available2023-06-20T03:56:25Z
dc.date.issued2010-05
dc.description©IOP Publishing. For financial support MM thanks the Spanish Ministerio de Ciencia e Innovacion, research project FIS2008-00200 and UF thanks the SFRH/BPD/62947/2009, Fundaçao para a Ciéncia e ˆ a Tecnologia of Portugal, PT2009-0031, Acciones Integradas Portugal, Ministerio de Ciencia e Innovacion de España, and MTM2009-12740-C03-01. Ministerio de Ciencia e Innovación de Espana. MM acknowledges different clarifying discussions with Dr Mattia Caffasso, Prof. Pierre van Moerbeke, Prof Luis Mart´ınez Alonso and Prof David Gomez-Ullate.
dc.description.abstractWe consider the relation of the multicomponent 2D Toda hierarchy with the 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 1 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.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovacion, Spain
dc.description.sponsorshipFundacao para a Ciencia e a Tecnologia of Portugal
dc.description.sponsorshipAcciones Integradas Portugal
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/31499
dc.identifier.doi10.1088/0266-5611/26/5/055009
dc.identifier.issn0266-5611
dc.identifier.officialurlhttp://dx.doi.org/10.1088/0266-5611/26/5/055009
dc.identifier.relatedurlhttp://iopscience.iop.org
dc.identifier.relatedurlhttp://arxiv.org/abs/0911.0941
dc.identifier.urihttps://hdl.handle.net/20.500.14352/44699
dc.issue.number5
dc.journal.titleInverse problems
dc.language.isoeng
dc.publisherIOP Publishing
dc.relation.projectIDFIS2008-00200
dc.relation.projectIDMTM2009-12740-C03-01
dc.relation.projectIDSFRH/BPD/62947/2009
dc.relation.projectIDPT2009-0031
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordDiscrete kp
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleThe multicomponent 2D Toda hierarchy: generalized matrix orthogonal polynomials, multiple orthogonal polynomials and Riemann-Hilbert problems
dc.typejournal article
dc.volume.number26
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