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Mixed orthogonality on the unit ball
(2021-12-01)
We consider multivariate functions satisfying mixed orthogonality conditions with respect to a given moment functional. This kind of orthogonality means that the product of functions of different parity order is computed ...
A Favard type theorem for orthogonal polynomials on the unit circle from a three term recurrence formula
(Elsevier B.V., 2014-08-01)
The objective of this manuscript is to study directly the Favard type theorem associated with the three term recurrence formulaRn+1(Z) = [(1 + ic(n+i))z + (1 - ic(n+1))]R-n(z) - 4d(n+1)zR(n-1)(z), n >= 1,with R-0(z) = 1 ...
Propiedades de algunos sistemas de polinomios ortogonales Sobolev en varias variables
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-02-01)
En este trabajo estudiamos algunas propiedades algebraicas y analíticas de los polinomios ortogonales en varias variables reales con respecto a un producto interno Sobolev continuo-discreto. Consideramos los polinomios ...