Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15123
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Area, I. | pt |
dc.contributor.author | Branquinho, A. | pt |
dc.contributor.author | Moreno, A. Foulquié | pt |
dc.contributor.author | Godoy, E. | pt |
dc.date.accessioned | 2016-01-27T16:30:34Z | - |
dc.date.available | 2018-07-20T14:00:51Z | - |
dc.date.issued | 2016-01-01 | - |
dc.identifier.issn | 0022-247X | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15123 | - |
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+x2)1−tμ(x)(1+x2)1−tμ(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. | pt |
dc.language.iso | eng | pt |
dc.publisher | Elsevier | pt |
dc.relation | MTM2012-38794-C02-01 | pt |
dc.relation | PEst-C/MAT/UI0324/2011 | pt |
dc.relation | PEst-C/MAT/UI4106/2011, COMPETE number FCOMP-01-0124-FEDER-022690 | pt |
dc.rights | openAccess | por |
dc.subject | Orthogonal polynomials | pt |
dc.subject | Difference operators | pt |
dc.subject | Operator theory | pt |
dc.subject | Toda lattices | pt |
dc.title | Characterizations of Δ-Volterra lattice: a symmetric orthogonal polynomials interpretation | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 243 | pt |
degois.publication.issue | 1 | pt |
degois.publication.lastPage | 259 | pt |
degois.publication.title | Journal of Mathematical Analysis and Applications | pt |
degois.publication.volume | 433 | pt |
dc.date.embargo | 2016-12-31T16:00:00Z | - |
dc.identifier.doi | 10.1016/j.jmaa.2015.07.051 | pt |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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delta_volterra_jmaa_CIDMA.pdf | main article | 325.94 kB | Adobe PDF | View/Open |
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