36 citations · 214 across the 29 of their papers we have counts for
Showing 2010Show all
3 papers · 1 filter
math-ph2010
Completeness of the Bethe ansatz on Weyl alcoves
E. Emsiz
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this am…
math.RT2010★ 6 cited
A generalized Macdonald operator
J. F. van Diejen, E. Emsiz
We present an explicit difference operator diagonalized by the Macdonald polynomials associated with an (arbitrary) admissible pair of irreducible reduced crystallographic root sys…
math.RT2010★ 2 cited
A Pieri formula for Macdonald's spherical functions and polynomials
J. F. van Diejen, E. Emsiz
We present explicit Pieri formulas for Macdonald's spherical functions (or generalized Hall-Littlewood polynomials associated with root systems) and their -deformation the Macdo…