A discrete Fourier transform associated with the affine Hecke algebra
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affinealgebraheckeassociatedfouriertransformcounterpartdiscrete
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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.
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