34 citations · 87 across the 9 of their papers we have counts for
12 papers
Duality and difference operators for matrix valued discrete polynomials on the nonnegative integers
Bruno Eijsvoogel, Lucía Morey, Pablo Román
In this paper we introduce a notion of duality for matrix valued orthogonal polynomials with respect to a measure supported on the nonnegative integers. We show that the dual famil…
Ladder relations for a class of matrix valued orthogonal polynomials
Alfredo Deaño, Bruno Eijsvoogel, Pablo Román
Using the theory introduced by Casper and Yakimov, we investigate the structure of algebras of differential and difference operators acting on matrix valued orthogonal polynomials…
Matrix valued Laguerre polynomials
Erik Koelink, Pablo Román
Matrix valued Laguerre polynomials are introduced via a matrix weight function involving several degrees of freedom using the matrix nature. Under suitable conditions on the parame…
Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions
Mourad E. H. Ismail, Erik Koelink, Pablo Román
Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its -analogue.…
Matrix elements of irreducible representations of and multivariable matrix-valued orthogonal polynomials
Erik Koelink, Maarten van Pruijssen, Pablo Román
In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under a suitable multiplicity freeness assumption and additional conditions on the branching…
Spherical functions approach to sums of random Hermitian matrices
Arno B. J. Kuijlaars, Pablo Román
We present an approach to sums of random Hermitian matrices via the theory of spherical functions for the Gelfand pair . It…
Deformation of matrix-valued orthogonal polynomials related to Gelfand pairs
Maarten van Pruijssen, Pablo Román
In this paper we present a method to obtain deformations of families of matrix-valued orthogonal polynomials that are associated to the representation theory of compact Gelfand pai…
Some bivariate stochastic models arising from group representation theory
Manuel D. de la Iglesia, Pablo Román
The aim of this paper is to study some continuous-time bivariate Markov processes arising from group representation theory. The first component (level) can be either discrete (quas…
Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures
Erik Koelink, Pablo Román
A matrix-valued measure reduces to measures of smaller size if there exists a constant invertible matrix such that is block diagonal. Equivalently, the real vector…
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure
Alfredo Deaño, Edmundo J. Huertas, Pablo Román
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure: \[ \frac{1}{x-c}x^{α}e^{-x}dx+Nδ(x-…
Gas inside the 97 au cavity around the transition disk Sz\,91
H. Canovas, M. R. Schreiber, C. Cáceres +9
We present ALMA (Cycle 0) band-6 and band-3 observations of the transition disk Sz\,91. The disk inclination and position angle are determined to be $i=49.5\degr\pm3.5\degr$ and $\…
Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One
Maarten van Pruijssen, Pablo Román
We present a method to obtain infinitely many examples of pairs consisting of a matrix weight in one variable and a symmetric second-order differential operator . Th…