Výsledky vyhledávání - "Pérez, T. E."

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Sobolev orthogonal polynomials on product domains

Autor: Fernández, L., Marcellán, F., Pérez, T. E., Piñar, M. A., Xu, Y.

Orthogonal polynomials on the product domain $[a_1,b_1] \times [a_2,b_2]$ with respect to the inner product $$ \langle f,g \rangle_S = \int_{a_1}^{b_1} \int_{a_2}^{b_2} \nabla f(x,y)\cdot \nabla g(x,y)\, w_1(x)w_2(y) \,dx\, dy + \lambda f(c_1,c_2)g(c

Externí odkaz: http://arxiv.org/abs/1406.0762

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Autor: Alfaro, M., Peña, A., Pérez, T. E., Rezola, M. L.

Let $\{\mathbb{P}_n\}_{n\ge 0}$ and $\{\mathbb{Q}_n\}_{n\ge 0}$ be two monic polynomial systems in several variables satisfying the linear structure relation $$\mathbb{Q}_n = \mathbb{P}_n + M_n \mathbb{P}_{n-1}, \quad n\ge 1,$$ where $M_n$ are consta

Externí odkaz: http://arxiv.org/abs/1307.5999

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Orthogonal polynomials in several variables for measures with mass points

Autor: Delgado, A. M., Fernandez, L., Perez, T. E., Pinar, M. A., Xu, Y.

Let $d\nu$ be a measure in $\mathbb{R}^d$ obtained from adding a set of mass points to another measure $d\mu$. Orthogonal polynomials in several variables associated with $d\nu$ can be explicitly expressed in terms of orthogonal polynomials associate

Externí odkaz: http://arxiv.org/abs/0911.2818

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A semiclassical perspective on multivariate orthogonal polynomials

Autor: de Morales, M. Alvarez, Fernández, L., Pérez, T. E., Piñar, M. A.

Differential properties for orthogonal polynomials in several variables are studied. We consider multivariate orthogonal polynomials whose gradients satisfy some quasi--orthogonality conditions. We obtain several characterizations for these polynomia

Externí odkaz: http://arxiv.org/abs/math/0610153

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A matrix Rodrigues formula for classical orthogonal polynomials in two variables

Autor: de Morales, A. Alvarez, Fernández, L., Pérez, T. E., Piñar, M. A.

Classical orthogonal polynomials in one variable can be characterized as the only orthogonal polynomials satisfying a Rodrigues formula. In this paper, using the second kind Kronecker power of a matrix, a Rodrigues formula is introduced for classical

Externí odkaz: http://arxiv.org/abs/math/0610128

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