Repository logo
 
Publication

Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials

2016-11-11Journal article Restricted access
Simple item page
dc.contributor.authorBranquinho, A.
dc.contributor.authorMoreno, A. Foulquié
dc.contributor.authorMendes, A.
dc.date.accessioned2025-10-15T11:01:06Z
dc.date.available2025-10-15T11:01:06Z
dc.date.issued2016-11-11
dc.description.abstractIn this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a com plex matrix measure. In order to study the solution of this dynamical system, we give explicit expressions for the Weyl function, general ized Markov function, and we also obtain, under some conditions, a representation of the vector of linear functionals associated with this system. We show that the orthogonality is embedded in these structure and governs the high-order Toda lattice. We also present a Lax-type theorem for the point spectrum of the Jacobi operator associated with a Toda-type lattice.eng
dc.description.sponsorshipThis work was supported by the Centre for Mathematics of the University of Coimbra – UID/MAT/00324/2013, funded by the Portuguese Government through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020, and also by CIDMA - Center for Research and Development in Mathematics and Applications (University of Aveiro) and the Portuguese Foundation for Science and Technology (‘FCT - Fundação para a Ciência e a Tecnologia’) within project UID/MAT/04106/2013.
dc.identifier.citationBranquinho, A., Foulquié Moreno, A., & Mendes, A. (2016). Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials. Integral Transforms and Special Functions, 28(1), 74–90. https://doi.org/10.1080/10652469.2016.1250082
dc.identifier.doi10.1080/10652469.2016.1250082
dc.identifier.issn1065-2469
dc.identifier.issn1476-8291
dc.identifier.urihttp://hdl.handle.net/10400.8/14266
dc.language.isoeng
dc.peerreviewedyes
dc.publisherInforma UK Limited
dc.relationCenter for Mathematics, University of Coimbra
dc.relationCenter for Research and Development in Mathematics and Applications
dc.relation.hasversionhttps://www.tandfonline.com/doi/full/10.1080/10652469.2016.1250082
dc.relation.ispartofIntegral Transforms and Special Functions
dc.rights.uriN/A
dc.subjectMatrix orthogonal polynomials
dc.subjectLinear functional
dc.subjectRecurrence relation
dc.subjectOperator theory
dc.subjectMatrix Sylvester differential equations
dc.subjectToda-type systems
dc.subjectLax-type theorem
dc.titleDynamics and interpretation of some integrable systems via matrix orthogonal polynomialseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCenter for Mathematics, University of Coimbra
oaire.awardTitleCenter for Research and Development in Mathematics and Applications
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F00324%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04106%2F2013/PT
oaire.citation.endPage90
oaire.citation.issue1
oaire.citation.startPage74
oaire.citation.titleIntegral Transforms and Special Functions
oaire.citation.volume28
oaire.fundingStream6817 - DCRRNI ID
oaire.fundingStream6817 - DCRRNI ID
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameMendes
person.givenNameAna
person.identifier.ciencia-id3C19-42EA-DDBD
person.identifier.orcid0000-0002-4161-6130
person.identifier.scopus-author-id55873199300
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
relation.isAuthorOfPublication3523e160-c260-47a6-89cc-eb3fca0059d9
relation.isAuthorOfPublication.latestForDiscovery3523e160-c260-47a6-89cc-eb3fca0059d9
relation.isProjectOfPublicationb30d7802-d73a-400a-9dca-e837e0b3d33e
relation.isProjectOfPublication570723c6-f4f0-4380-be22-1d6248354fc5
relation.isProjectOfPublication.latestForDiscoveryb30d7802-d73a-400a-9dca-e837e0b3d33e

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials.pdf
Size:
1.43 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.32 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

ESTG - Artigos em revistas internacionais