A discrete Fourier transform associated with the affine Hecke algebra

preprint2012arXivOpen access

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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A discrete Fourier transform associated with the affine Hecke algebra

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