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Quadratic Decomposition of Bivariate Orthogonal Polynomials
dc.contributor.author | Branquinho, Amílcar | |
dc.contributor.author | Pérez Fernández, Teresa Encarnación | |
dc.date.accessioned | 2023-03-29T06:58:51Z | |
dc.date.available | 2023-03-29T06:58:51Z | |
dc.date.issued | 2023-02-17 | |
dc.identifier.citation | Branquinho, A., Foulquié-Moreno, A. & Pérez, T.E. Quadratic Decomposition of Bivariate Orthogonal Polynomials. Mediterr. J. Math. 20, 118 (2023). [https://doi.org/10.1007/s00009-023-02307-3] | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/80916 | |
dc.description.abstract | We describe the relation between the systems of bivariate orthogonal polynomial associated to a symmetric weight function and associated to some particular Christoffel modifications of the quadratic decomposition of the original weight. We analyze the construction of a symmetric bivariate orthogonal polynomial sequence from a given one, orthogonal to a weight function defined on the first quadrant of the plane. In this description, a sort of B¨acklund type matrix transformations for the involved three term matrix coefficients plays an important role. Finally, we take as a case study relations between the classical orthogonal polynomials defined on the ball and those on the simplex. | es_ES |
dc.description.sponsorship | FCT-FCCN (b-on) | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer | es_ES |
dc.rights | Atribución 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Bivariate orthogonal polynomials | es_ES |
dc.subject | Quadratic decomposition process | es_ES |
dc.subject | Bäcklund-type relations | es_ES |
dc.title | Quadratic Decomposition of Bivariate Orthogonal Polynomials | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
dc.identifier.doi | 10.1007/s00009-023-02307-3 | |
dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | es_ES |