T. Pérez

activity

20062026

most citedA class of orthogonal functions given by a three term recurrence formula

13 citations · 16 across the 8 of their papers we have counts for

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9 papers · 1 filter

math.CA2022

Sobolev orthogonal polynomials on the conic surface

Lidia Fernandez, Teresa Perez, Miguel Pinar +1

Orthogonal polynomials with respect to the weight function $w_{β, γ} (t) = t^{β} (1 - t)^{γ}$ , $γ > - 1$ , on the conic surface ${(x, t) : ∥ x ∥ = t, x \in R^{d}, t \leq 1}$ are st…

math.CA2016

Three term relations for a class of bivariate orthogonal polynomials

Misael Marriaga, Teresa E. Pérez, Miguel A. Piñar

We study matrix three term relations for orthogonal polynomials in two variables constructed from orthogonal polynomials in one variable. Using the three term recurrence relation f…

math.CA2014

Matrix Pearson equations satisfied by Koornwinder weights in two variables

Francisco Marcellán, Misael E. Marriaga, Teresa E. Pérez +1

We consider Koornwinder's method for constructing orthogonal polynomials in two variables from orthogonal polynomials in one variable. If semiclassical orthogonal polynomials in on…

math.CA2014

Sobolev orthogonal polynomials on product domains

L. Fernández, F. Marcellán, T. E. Pérez +2

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,…

math.CA2012★ 2 cited

Weighted Sobolev orthogonal polynomials on the unit ball

Teresa E. Perez, Miguel A. Pinar, Yuan Xu

For the weight function $W_{μ} (x) = (1 - ∣ x ∣^{2})^{μ}$ , $μ > - 1$ , $λ > 0$ and $b_{μ}$ a normalizing constant, a family of mutually orthogonal polynomials on the unit ball with respect to the i…

math.CA2009

Orthogonal polynomials in several variables for measures with mass points

A. M. Delgado, L. Fernandez, T. E. Perez +2

Let $d ν$ be a measure in $R^{d}$ obtained from adding a set of mass points to another measure $d μ$ . Orthogonal polynomials in several variables associated with $d ν$ can be e…