34 citations · 68 across the 8 of their papers we have counts for
9 papers
Non-symmetric Jacobi polynomials of type as vector-valued polynomials Part 1: spherical functions
Max van Horssen, Maarten van Pruijssen
We study non-symmetric Jacobi polynomials of type by means of vector-valued and matrix-valued orthogonal polynomials. The interpretation as matrix-valued orthogonal polyno…
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…
An application of spherical geometry to hyperkähler slices
Peter Crooks, Maarten van Pruijssen
This work is concerned with Bielawski's hyperkähler slices in the cotangent bundles of homogeneous affine varieties. One can associate such a slice to the data of a complex semisim…
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…
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)\times SU(2),diag), II
Erik Koelink, Maarten van Pruijssen, Pablo Roman
In a previous paper we have introduced matrix-valued analogues of the Chebyshev polynomials by studying matrix-valued spherical functions on SU(2)\times SU(2). In particular the ma…
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…