36 citations · 214 across the 29 of their papers we have counts for
29 papers
On the basic representation of the double affine Hecke algebra at critical level
J. F. van Diejen, E. Emsiz, I. N. Zurrián
We construct the basic representation of the double affine Hecke algebra at critical level associated to an irreducible reduced affine root system with a reduced gradient…
Affine Pieri rule for periodic Macdonald spherical functions and fusion rings
Jan Felipe van Diejen, Erdal Emsiz, Ignacio N. Zurrián
Let be an untwisted affine Lie algebra or the twisted counterpart thereof (which excludes the affine Lie algebras of type ). We pr…
Cubature rules for unitary Jacobi ensembles
Jan Felipe van Diejen, Erdal Emsiz
We present Chebyshev type cubature rules for the exact integration of rational symmetric functions with poles on prescribed coordinate hyperplanes. Here the integration is with res…
Cubature rules from Hall-Littlewood polynomials
Jan Felipe van Diejen, Erdal Emsiz
Discrete orthogonality relations for Hall-Littlewood polynomials are employed, so as to derive cubature rules for the integration of homogeneous symmetric functions with respect to…
Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions
Jan Felipe van Diejen, Erdal Emsiz
Starting from the hyperoctahedral multivariate hypergeometric function of Heckman and Opdam (associated with the root system), we arrive -- via partial confluent limits in t…
Bispectral dual difference equations for the quantum Toda chain with boundary perturbations
J. F. van Diejen, E. Emsiz
We show that hyperoctahedral Whittaker functions---diagonalizing an open quantum Toda chain with one-sided boundary potentials of Morse type---satisfy a dual system of difference e…