4 papers
An elementary approach to non-symmetric shift operators and their q-analogs
Max van Horssen, Maarten van Pruijssen
We give an algebraic construction of shift operators for the non-symmetric Heckman-Opdam polynomials and the non-symmetric Macdonald-Koornwinder polynomials. To each linear charact…
Multiplicity free induction for the pairs and over finite fields
Elias Depuydt, Maarten van Pruijssen
We classify the irredible representations of for which the induction to the product group , under the diagonal embe…
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…
Non-symmetric Jacobi polynomials of type as vector-valued polynomials Part 2: Shift operators
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 polynomi…