Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4617
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Petronilho, J. | - |
dc.date.accessioned | 2008-09-01T11:35:20Z | - |
dc.date.available | 2008-09-01T11:35:20Z | - |
dc.date.issued | 2006 | en_US |
dc.identifier.citation | Journal of Mathematical Analysis and Applications. 315:2 (2006) 379-393 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/4617 | - |
dc.description.abstract | An inverse problem is solved, by stating that the regular linear functionals u and v associated to linearly related sequences of monic orthogonal polynomials (Pn)n and (Qn)n, respectively, in the sense for all n=0,1,2,... (where ri,n and si,n are complex numbers satisfying some natural conditions), are connected by a rational modification, i.e., there exist polynomials [phi] and [psi], with degrees M and N, respectively, such that [phi]u=[psi]v. We also make some remarks concerning the corresponding direct problem, stating a characterization theorem in the case N=1 and M=2. As an example, we give a linear relation of the above type involving Jacobi polynomials with distinct parameters. | en_US |
dc.description.uri | http://www.sciencedirect.com/science/article/B6WK2-4GDC0BW-4/1/c8bd62fc5b681b691284e86ce0b08d4e | en_US |
dc.format.mimetype | aplication/PDF | en |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.subject | Orthogonal polynomials | en_US |
dc.subject | Moment linear functionals | en_US |
dc.subject | Inverse problems | en_US |
dc.subject | Locally convex spaces | en_US |
dc.subject | Sobolev orthogonal polynomials | en_US |
dc.title | On the linear functionals associated to linearly related sequences of orthogonal polynomials | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1016/j.jmaa.2005.05.018 | - |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.languageiso639-1 | en | - |
item.openairetype | article | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-1413-3889 | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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file311af71fb2a84a0481a6107b004a6486.pdf | 141.97 kB | Adobe PDF | View/Open |
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