34 citations · 68 across the 8 of their papers we have counts for
5 papers · 1 filter
Vector-valued Heckman-Opdam polynomials: a Steinberg variation
Maarten van Pruijssen
We develop a theory of Jacobi polynomials for parabolic subgroups of finite reflection groups that specializes to the cases studied by Heckman and Opdam in which the whole group an…
Multiplicity free induced representations and orthogonal polynomials
Maarten van Pruijssen
Let be a reductive spherical pair and a parabolic subgroup such that is spherical. The triples with this property are called multiplicity fre…
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…
Matrix Valued Orthogonal Polynomials for Gelfand Pairs of Rank One
Gert Heckman, Maarten van Pruijssen
In this paper we study matrix valued orthogonal polynomials of one variable associated with a compact connected Gelfand pair (G,K) of rank one, as a generalization of earlier work…
Matrix Valued Orthogonal Polynomials related to (SU(2) x SU(2),diag)
Erik Koelink, Maarten van Pruijssen, Pablo Roman
The matrix-valued spherical functions for the pair (K x K, K), K=SU(2), are studied. By restriction to the subgroup A the matrix-valued spherical functions are diagonal. For suitab…