35 citations · 100 across the 12 of their papers we have counts for
12 papers
Pre-sequences of matrix orthogonal polynomials
Juan Tirao
We introduce the notion of a pre-sequence of matrix orthogonal polynomials to mean a sequence {F_n} of matrix orthogonal functions with respect to a weight function W, satisfying a…
Reducibility of Matrix Weights
Juan Tirao, Ignacio Zurrián
In this paper we discuss the notion of reducibility for matrix weights and introduce a real vector space which encodes all information about the reducibilit…
Spherical Functions of Fundamental -Types Associated with the -Dimensional Sphere
Juan Alfredo Tirao, Ignacio Nahuel Zurrián
In this paper, we describe the irreducible spherical functions of fundamental -types associated with the pair in terms of matrix hy…
DJKM algebras and non-classical orthogonal polynomials
Ben Cox, Vyacheslav Futorny, Juan A. Tirao
We describe families of polynomials arising in the study of the universal central extensions of Lie algebras introduced by Date, Jimbo, Kashiwara, and Miwa in their work on the Lan…
One-step spherical functions of the pair (SU(n+1),U(n))
Ines Pacharoni, Juan A. Tirao
The aim of this paper is to determine all irreducible spherical functions of the pair (G,K)=(SU(n+1),U(n)), where the highest weight of their K-types are of the form (m+l,...,m+l,m…
Spherical Functions: The Spheres Vs. The Projective Spaces
Juan Alfredo Tirao, Ignacio Nahuel Zurrián
In this paper we establish a close relationship between the spherical functions of the -dimensional sphere $S^n\simeq\SO(n+1)/\SO(n)$ and the spherical functions of the -dime…