36 citations · 214 across the 29 of their papers we have counts for
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math.RT2012★ 1 cited
A discrete Fourier transform associated with the affine Hecke algebra
J. F. van Diejen, E. Emsiz
We introduce an explicit representation of the double affine Hecke algebra (of type ) at that gives rise to a periodic counterpart of a well-known Fourier transform asso…
math.RT2012★ 7 cited
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
J. F. van Diejen, E. Emsiz
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting…
math.RT2012★ 9 cited
Discrete harmonic analysis on a Weyl alcove
J. F. van Diejen, E. Emsiz
We introduce a representation of the double affine Hecke algebra at the critical level q=1 in terms of difference-reflection operators and use it to construct an explicit integrabl…