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A discrete Fourier transform associated with the affine Hecke algebra
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
We introduce an explicit representation of the double affine Hecke algebra (of type A(1)) at q = 1 that gives rise to a periodic counterpart of a well-known Fourier transform associated with the affine Hecke algebra. (C) ...
Unitary representations of affine Hecke algebras related to Macdonald spherical functions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2012)
For any reduced crystallographic root system, we introduce a unitary representation of the (extended) affine Hecke algebra given by discrete difference-reflection operators acting in a Hilbert space of complex functions ...