3 papers
math.RT2026
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…
math.CA2024
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…
math.CA2024
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…