Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/43839
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Area, I. | - |
dc.contributor.author | Branquinho, Amílcar | - |
dc.contributor.author | Foulquié Moreno, A. | - |
dc.contributor.author | Godoy, E. | - |
dc.date.accessioned | 2017-10-10T17:24:36Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | https://hdl.handle.net/10316/43839 | - |
dc.description.abstract | In this paper we introduce the Δ-Volterra lattice which is interpreted in terms of symmetric orthogonal polynomials. It is shown that the measure of orthogonality associated with these systems of orthogonal polynomials evolves in t like (1+x^2)^1−t μ(x) where μ is a given positive Borel measure. Moreover, the Δ-Volterra lattice is related to the Δ-Toda lattice from Miura or Bäcklund transformations. The main ingredients are orthogonal polynomials which satisfy an Appell condition with respect to the forward difference operator Δ and the characterization of the point spectrum of a Jacobian operator that satisfies a Δ-Volterra equation (Lax type theorem). We also provide an explicit example of solutions of Δ-Volterra and Δ-Toda lattices, and connect this example with the results presented in the paper. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | por |
dc.rights | embargoedAccess | - |
dc.title | Characterizations of Δ-Volterra lattice: A symmetric orthogonal polynomials interpretation | por |
dc.type | article | - |
degois.publication.firstPage | 243 | por |
degois.publication.lastPage | 259 | por |
degois.publication.issue | 1 | por |
degois.publication.title | Journal of Mathematical Analysis and Applications | por |
dc.relation.publisherversion | https://doi.org/10.1016/j.jmaa.2015.07.051 | por |
dc.peerreviewed | yes | por |
dc.identifier.doi | 10.1016/j.jmaa.2015.07.051 | por |
dc.identifier.doi | 10.1016/j.jmaa.2015.07.051 | - |
degois.publication.volume | 433 | por |
dc.date.embargo | 2019-10-10T17:24:36Z | - |
uc.controloAutoridade | Sim | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0003-4685-1583 | - |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
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