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A discrete Fourier transform associated with the affine Hecke algebra (1209.3294v1)

Published 14 Sep 2012 in math.RT, math-ph, and math.MP

Abstract: 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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